tag:blogger.com,1999:blog-68990954876975242382024-03-14T00:43:59.332-07:00GTORangeBuilder BlogA blog about Game Theory Optimal Poker featuring regular poker and non-poker Game Theory and Mathematics brain teasers, lessons and more.Unknownnoreply@blogger.comBlogger85125tag:blogger.com,1999:blog-6899095487697524238.post-58448808855197527982019-09-11T10:56:00.002-07:002019-09-11T10:56:20.229-07:00New Cash Single Raise Pots GTO Trainer Pack ReleasedI'm excited to announce that my new GTO Trainer Cash Games SRP pack has been released and is now available for purchase in the Simple GTO Trainer software which you can download for free here: <a href="http://simplepoker.com/en/Solutions/Simple_GTO_Trainer">http://simplepoker.com/en/Solutions/Simple_GTO_Trainer</a>. This pack includes drills and full games for single raised pots for SB vs BB, UTG/HJ/CO/BTN vs BB, UTG/HJ/CO vs BTN, all with multiple preflop raise sizes and in my opinion is the most time effective and cost effective way to master single raised pot play in NLHE cash games. The pack is $99 and does not require that you own any additional software<br />
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For more details check out the video below:<br />
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<br />Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-90230501960109731522019-06-12T11:45:00.002-07:002019-06-12T11:50:22.000-07:00GTO Trainer Updates and Play Mode TutorialThe Simple Postflop team has been hard at work improving <a href="https://simplepoker.com/en/Solutions/Simple_GTO_Trainer?partner=gtorangebuilder">GTO Trainer</a> so I made a new tutorial video showing off some of the new features. They've also added a bunch of new pre-computed solution packs that are fully stand-alone (so you don't need Pio or SPF at all) for MTTs, Spin and Go's, HU Cash, 3-bet pots, etc. The packs are all in the range of $50-$150 making them the by far the most cost effective way to learn GTO play in your game type of choice.<br />
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In addition to releasing new packs, the "regular" games in GTO Trainer packs can now be used in "play" mode which lets you continue to play out the hand even after making a non-GTO play. This means that the software now shows you your showdown and non-showdown winnings by hand, session and in aggregate which can be a useful way to spot if you are playing to passively or to aggressively relative to GTO.<br />
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Some other new features include some quality of life improvements such as table layouts, displaying bet sizes in BBs, etc as well as the ability to play entire hands from preflop through to the river which I show how to set up in this tutorial.<br />
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If you're interested you can download the software for free here: <a href="http://simplepoker.com/en/Solutions/?partner=gtorangebuilder">http://simplepoker.com/en/Solutions/?partner=gtorangebuilder</a>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-1910756817631566842019-01-02T14:46:00.001-08:002019-01-02T15:18:32.109-08:00Deliberate Practice in Poker and GTO TrainerAs both a poker player, poker coach, competitive tennis player, magic the gathering player, and starcraft player I've always believe that <a href="https://en.wikipedia.org/wiki/Practice_(learning_method)#Deliberate_practice">deliberate practice</a> is the key differentiating factor that separates "good" players from elite players. Games like tennis or chess have very natural easy ways for a player to deliberately isolate and practice specific skills either alone or with a partner, but in the poker world deliberate practice has always been quite difficult.<br />
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If you wanted to hone your play in BB vs BTN, 3-bet pots, that might be a situation that would only come up in a dozen hands over the course of an hour or two, and the variance in the results would make it hard to systematically analyze and improve your play without weeks worth of hand data and hours of analysis.<br />
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Over the last year I've been working with the SimplePostflop team to solve this problem with a new piece of software called <a href="https://simplepoker.com/en/Solutions/Simple_GTO_Trainer?partner=gtorangebuilder">GTO Trainer</a>. In my latest video I talk about the theory and impact of deliberate practice and how to execute it with GTO trainer, check it out below.<br />
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GTO trainer lets anyone deliberately practice specific scenarios repeatedly and hone specific skills with real time feedback. The program is free to download and integrates with either Piosolver or SimplePostflop. You can also purchase any of my stand-alone solution packs (including my brand new 3-bet pots pack) and start training against them in a matter of minutes.<br />
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Some screen shots:<br />
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GTO Trainer also gives you aggregated session results and range composition analysis:<br />
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If you're interested you can download the software for free here: <a href="http://simplepoker.com/en/Solutions/?partner=gtorangebuilder">http://simplepoker.com/en/Solutions/?partner=gtorangebuilder</a>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-36445320381162092372017-11-04T10:06:00.003-07:002017-11-05T09:30:00.258-08:00Poker AI Info Graphic from Josh Wardini<div dir="ltr" style="background-color: white; color: #222222; font-family: arial, sans-serif; font-size: 12.8px;">
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Today I have a guest post from Josh Wardini who wanted to share a nice infographic that he made on AI in poker. You can check out the infographic here: <a href="https://pokersites.me.uk/poker-ai/">https://pokersites.me.uk/poker-ai/</a></div>
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Enjoy,</div>
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<b>Researching The Facts About The Rise Of Poker AI & Curating The Data</b></div>
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<span style="font-size: 12.8px;">My name is Josh Wardini and I am the editorial contributor and community manager for </span><a data-saferedirecturl="https://www.google.com/url?hl=en&q=http://PokerSite.me.uk&source=gmail&ust=1509838786854000&usg=AFQjCNG3KfiTAyiH4yq9iAKC9f9czoBnXw" href="https://pokersites.me.uk/category/blog/" style="color: #1155cc; font-size: 12.8px;" target="_blank">PokerSites.me.uk</a><span style="font-size: 12.8px;">. Living in Portland, Oregon and an avid poker enthusiast, I first came across a few tidbits of information about Libratus - a poker-playing AI that was capable of actually beating the poker pros. Growing up watching movies like Terminator, I wanted to find out how close we are, as a species, to creating AI capable of actually out-thinking us.</span></div>
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Even though AI (Artificial intelligence) has been receiving media coverage in the last few years, the idea of an AI actually being capable of human-level functions seems years, if not decades, away for many. In actual fact, the future is a lot closer than you may think, and recently, AI has become functional enough to beat humans at the most widely played card strategy game on earth: Poker. The growth of this technology has already grown beyond what we imagined, and you can get a good idea of how this is so from my data.</div>
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Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-68110001695408886432017-05-28T13:13:00.003-07:002017-05-28T13:24:19.352-07:00GTORB 6-max Cash Study Group Season 3I am gauging interest in the 3rd season of my 6-max study sessions this summer. Current the season consists of 6, 1+hr sessions similar to my strategy packs, but live over Skype with real-time Q&A. The cost $750 for the 6 sessions and sessions are held every other week. In addition to the coaching sessions there is an ongoing Skype group chat the I personally answer, and a shared google drive folder where I upload spread-sheets and GTO solution files. I've done two seasons of this so far and gotten very positive feedback. The group has been capped at 10 people.<br />
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Anyone who wants to join this season can also get access to the VODs (at an additional price of $500 per season) from previous seasons so that you are up to date on all the material we covered.<br />
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This season I am considering offering a VOD only option where at a reduced price of $500. With the VOD only option, you can get access to recordings of the sessions and access to the shared drive folder but you cannot attend the sessions live or access the Skype group.<br />
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If you're interested please let me know via email at <a href="mailto:gtorangebuilder@gmail.com">gtorangebuilder@gmail.com</a> and I can give you access to one of the VODs from a previous season so that you can assess the material.<br />
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Generally, the people in the group are midstakes+ NL cash game players. Depending on interest and scheduling I'll announce the dates for the summer session in a few weeks time.Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-69374936084491978292017-01-13T12:06:00.002-08:002017-01-19T10:30:00.100-08:00Brains vs AI: My Prediction and some Tips for the brainsMy skype has been inundated with questions and prediction requests regarding the ongoing brains vs AI matchup so I thought I'd take some time to write down my official prediction and to also help point the brains in the right direction for beating the bot.<br />
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For those of you who haven't been following it, after the brains defeated Claudico in the last major human vs bot challenge, the latest AI from CMU/Alberta is named Liberatus and he is back to play 120,000 hands vs Dong Kim, Jason Les, Jimmy Chou, and Daniel Mcaulay. Furthermore, after two days of play (~8k of the 120k hands) the AI is up against 3 of the 4 players and significantly (1500bbs) overall.<br />
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As a result the betting lines have moved such that the AI is now favored to win the whole thing after starting out as a 4-1 dog. I'm going to boldly go on record as saying that the betting lines are wrong, the humans will stage a comeback, and the AI will not win this year. All that is under the assumption that the humans actively look for leaks not just in its ranges but in its reactions to bet sizing. If they just play their standard game they will likely lose. I'll give some specific advice on how to attack the AI below.<br />
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For what its worth I think the technology to make a human level HUNLHE bot is there, but that it involves combining a lot of state of the art techonology in just the right way and I don't believe the researchers will get it right this try. My medium to longer term outlook for the future of humanity in HUNLHE is very bleak.<br />
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How to beat a GTO bot</h3>
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GTO bots are generally constructed around the principal of taking a set of pre-computed GTO solutions and then interpolating them (often with some learning component) to figure out how to react to bet sizing that is outside of the pre-computed game tree. As far as I know the details of Liberatus' specific algorithms have not been released so I'll have to make some assumptions about the general construction of GTO bots. Deepstack, a cutting edge bot that recently made some questionable claims about "beating" human professionals, has detailed more of their architecture in a published <a href="https://arxiv.org/abs/1701.01724" target="_blank">paper</a> so I am basing some of this analysis on their approach.</div>
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Because of the way GTO bots are constructed, if you play within the precomputed GTO solutions bet sizing abstraction you are guaranteed to lose. When HU limit hold'em was solved it directly implicated that any version of NLHE which was restricted to a small number of "fixed" sizes, even if they are percentages of the pot rather than fixed amounts, was also solvable. Anyone with a bit of programming experience and a budget could go to <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder" target="_blank">SPF</a>, buy some preflop solution, and trivially make a GTO bot that would be unbeatable if you agreed in advance to only ever bet some specific pot %s, eg 50% or 100% pot postflop, always 3x, limp or fold pre, always 3-bet to 9, etc.</div>
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The only way to attack the bot is going to be to attack its bet sizing abstraction. The difficult and to date unsolved part of building an unbeatable poker bot comes entirely from correctly determining how to react to bet sizings outside of its abstracted solutions. Note that by the definition of GTO strategies you cannot play within its bet sizing abstraction but with non-standard ranges preflop and on the flop and then hope to somehow exploit it on the turn and river unless you can somehow go outside its bet sizing abstraction in a systematic exploitative way on those later streets. Understanding that the only way to beat the bot is to attack its abstractions is the first key step.</div>
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Liberatus seems to be taking things a step further than the naive approach I suggested above, by resolving the turn and river dynamically during a hand, presumably with a large number of bet sizes. This adaptation allows the bot to play a preflop/flop strategy that may be based on a GTO computation that only had 2 turn and river sizes, but then resolve the turn and river with a much larger set of bet sizings on the fly. What this addition means is that if you play a strategy such that reaching the turn with a range that is close to what the preflop and flop components of the bots solution dictate, then you are likely already screwed. It will be able to solve a very large version of that turn/river branch of the game tree with a large number of bet sizes and your ability to attack it on the turn and river will be very limited IF you play within its bet sizing abstraction preflop and on the flop. </div>
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Thus the key to beating the bot is to find holes in the preflop and flop bet sizing abstraction. In particular, one should look for weak reactions to non-standard 3-bet sizes and 4 bet sizes as a primary means of attack. Flop check raises may be vulnerable as well. The tricky part to this is doing so with a sensible range. </div>
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I'm going to illustrate how you would attack a bot by using non-standard 3-bet sizing as an example. This all assumes that one has unlimited time and unlimited resources which of course the brains in this challenge do not. That said, a reasonable approach would be to do the following.</div>
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<li>Get a HUNL GTO preflop solution with the sizes the bot seems to use itself</li>
<li>Run a few HUNL GTO preflop simulations with unusual 3-bet sizes, pick one that performs well even against a perfect response</li>
<li>See if the bot ever shows down a hand that should be in the range of the solution from step 1 but should not be in the range of the solution from step 2</li>
<li>If so you've found a leak</li>
<li>Take the reaction to a 3-bet from step 1 and lock that strategy in to the solution you chose from step 2</li>
<li>Observe what a minimally exploitative strategy is</li>
<li>Keep an eye on what you observe in terms of the bots reaction ranges to your non-standard 3-bet size. Its reaction strategy may be interpolated from two GTO solutions with bet sizes near your 3-bet size (eg if you 3-bet to 7 it might interpolate between a 3-bet to 5 and a 3-bet to 9) or it might be using some learning algorithm to try and reduce its mistakes over time, or they might be updating it at night</li>
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I think that if the brains use the next 10-20k hands to test the bots reactions to unusual preflop and flop sizes in situations where the odd sizing is only slightly inefficient to start with that they will be able to find some wholes that they can attack for the remainder of the match.<br />
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If they can consistently reach the turn in spots where the bots estimate of the GTO range for them (and it) to hold at that point is significantly wrong, then its dynamically solving will only lead it astray as it will input incorrect starting ranges and thus output an incorrect strategy. The key is just to get outside of its bet sizing abstraction early in the hand were it has to be more sparse.</div>
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Despite the bad early start for the brains, I still think that it is unlikely that Liberatus is unexploitable and that assuming it is attempting to play near GTO then the brains, given time should be able to find those leaks and attack them without fear of counter exploitation. As long as the brains realize that their "standard game" isn't sufficient and take a focused and structured approach to identifying leaks that the bot has as a result of its bet sizing abstraction and attacking them I think there is still hope for humanity.</div>
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Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-70196403867750963112016-09-04T16:13:00.000-07:002016-09-04T16:13:08.242-07:00New MTT Focused Strategy Pack Released -- Plus Strategy Pack Sale through 9/21/2016I'm very excited to announce the launch of my latest strategy pack which explores the underlying theory behind MTT tournaments focusing on early and midstage chip valuations, preflop strategy and postflop play. The pack is one of biggest undertakings I've done to date and includes new techniques for modeling skill edge and chip value in early/mid stage tournaments as well as a lot of specific strategy recommendations. The pack is available for purchase in the GTO dojo here: <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">http://gtorangebuilder.com/#gto-dojo</a>. A preview of the main video is below.<br />
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And through September 21st we're offering a special discount where anyone who buys the new MTT Theory and Practice strategy pack can get $50 off any one other strategy pack of their choice. Just purchase both packs from our website and email gtorangebuilder@gmail.com and I'll refund $50 to you within 24 hours.<br />
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Note that the $50 off only applies to strategy packs that I made, so it applies to any pack in the GTO Dojo with the exception of the the Spins/HUSNG packs.
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The first step towards that was working with a friend who is an MTT specialist to make a SPF preflop solution pack that we believe shows substantially stronger open ranges, 3-bet sizes, and defense range composition than existing population play or computational results.<br />
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The SPF pack is available here and is 5% off for GTORB readers with this link: <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder#Pack6">http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder#Pack6</a><br />
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SPF solution packs are standalone and can be used with the free SPF version which is acceptable here: <a href="http://simplepostflop.com/en/Download?source=gtorangebuilder">simplepostflop.com/en/Download?source=gtorangebuilder</a><br />
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I've also made a youtube video that briefly explains some of the methodology and shows some of the ranges from the solution pack which you can watch below.<br />
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Enjoy!Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-90290039344894232962016-07-12T15:16:00.001-07:002016-07-12T15:16:55.055-07:00July Strategy Pack SaleThrough the end of July I'm offering $50 off when you purchase any two strategy packs from the <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">http://gtorangebuilder.com/#gto-dojo</a>. Just purchase them both at the regular price and email gtorangebuilder@gmail.com mentioning the sale and I'll refund $50 of the purchase within 24 hours.Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-29166613379019729102016-06-29T14:45:00.001-07:002016-06-29T14:46:35.963-07:00Calculate Aggregate GTO Action Frequencies with SPFIn my latest free youtube video I've made a quick tutorial on how to use <a href="http://simplepostflop.com/en/Download?source=gtorangebuilder" target="_blank">Simple Postflop</a> to compute average GTO c-bet frequencies so that you can directly compare those numbers to DB / HUD stats. I used the data from the <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder" target="_blank">6-max preflop solution pack</a> to compute the GTO BTN vs BB C-betting frequency for a 50% pot c-bet.<br />
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Note there is one technical detail that I skimmed when presenting the methodology which is that, when aggregating the c-bet frequencies, you also need to weight each board not only by its normal weight, but by the OOP check frequency on that given board, because that prior action is required for us to reach a decision point where we could c-bet. Since OOP checks near 100% on all boards in this case, the impact of this is minor, but it is essential in cases where you are analyzing actions that occur later in the hand as if you do not incorporate the board specific rate of reaching the decision point you are interested in then you can significantly mis-weight various flops.<br />
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GTORB readers can purchase SimplePostflop at the 10% discount here: <a href="http://simplepostflop.com/en/Buy?source=gtorangebuilder">http://simplepostflop.com/en/Buy?source=gtorangebuilder</a><br />
<br />
You can also get the Simple Postflop preflop pack that I used at a discount here (its pack #4): http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilderAlexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-53660817305426971312016-06-20T22:41:00.002-07:002016-06-20T22:41:40.772-07:00Check out the latest Thinking Poker Podcast for my interviewI had the privilege this week of being on the <a href="http://www.thinkingpoker.net/" target="_blank">Thinking Poker</a> podcast, which was a lot of fun. You can check out the full interview here: <a href="http://www.thinkingpoker.net/2016/06/episode-177-alex-sutherland/" target="_blank">http://www.thinkingpoker.net/2016/06/episode-177-alex-sutherland/</a><br />
<br />
They analyzed the hand they presenting in episode 176 with the GTORB software to get a GTO perspective on the optimal play so make sure and check that out as well.Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-24843925544316668622016-05-17T17:23:00.002-07:002016-05-17T17:23:36.978-07:00Check out my interview on Red Chip PokerI was fortunate enough to get a chance to do an interview for Red Chip poker. I had a lot of fun and think the podcast went really well, for those who are curious you can check it out here:<br />
<a href="https://www.blogger.com/goog_1467982883"><br /></a>
<a href="http://redchippoker.com/gto-range-builder-poker-software-podcast/">http://redchippoker.com/gto-range-builder-poker-software-podcast/</a>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-47195088273804001502016-04-19T12:09:00.000-07:002016-04-19T12:09:12.200-07:00GTO Preflop Strategy: IP raiser vs Big BlindI'm excited to announce I've worked with SimplePostflop to create a new preflop solution pack that analyzes BTN/CO/MP/UTG preflop raises vs a Big Blind defender. This pack incorporates rake and uses the SPF 184 board subset, as well as customized postflop trees making the solutions in it the highest accuracy publicly available six max solution set.<br />
<br />
The pack is available for purchase here and all GTORB readers can get a $10 discount by using this link: <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder">http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder</a>.<br />
<br />
I've also made a video discussing the methodology behind the pack and analyzing the GTO BB 3-betting range vs a BTN 2.5x preflop raise, check it out below.
<br />
<br />
<iframe allowfullscreen="" frameborder="0" height="355" src="https://www.youtube.com/embed/QsWrYeQ_LQA" width="600"></iframe><br />
<br />Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-6833256475561458812016-03-27T08:59:00.003-07:002016-03-27T13:04:57.823-07:00March Strategy Pack SaleFrom today through April 1st we'll be offering a free strategy pack to anyone who buys two strategy packs at the regular price. Just by all 3 packs from <a href="http://gtorangebuilder.com/#buy-now" target="_blank">our stor</a>e and then email gtorangebuilder@gmail.com mentioning this discount and I'll refund the 3rd pack within 24 hours.<br />
<br />
We're also offering a temporary discount on our GTO Pro Bundle. From today through April 1st you can purchase the GTO Pro Bundle which comes with 7 strategy packs and 6 months of flop library and flop solver access for $579.99. Again, just purchase it from <a href="http://gtorangebuilder.com/#buy-now" target="_blank">our store</a> and then email gtorangebuilder@gmail.com mentioning the discount and I'll refund $100 of your purchase within 24 hours.<br />
<br />
Happy Easter!Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-68465975206144198002016-03-22T10:53:00.002-07:002016-03-22T10:54:14.897-07:00New SimplePostflop A3 solution algorithm is super fastSPF's latest beta channel update contains the option to use their new A3 algorithm which according to their benchmarks makes SPF now the fastest publicly available solver in the world (previously Jessolver was leading). The latest update also contains new features like rake support. <br />
<br />
Note that you will need to get the Beta update to use the new algorithms which you can do by going to File > Updates and entering the beta channel update path: http://simplepostflop.com/beta_x64/.<br />
<br />
I tried this out today on some scenarios I have run in the past and the results were impressive. 3-bet pot scenarios with 1-2 bet sizes on each street that used to take 30-45 seconds to run can now be solved in ~15 seconds to 0.5% of the pot exploitability on my laptop. CO vs BB single raised pots that used to take ~3 minutes now take ~2 minutes.<br />
<br />
You can choose which algorithm to use in the Standalone > Solver Settings menu (A1 is the old algorithm, A2 is a new algorithm optimized for narrow ranges, and A3 is the new general algorithm) which makes it easy to bench mark the performance improvements. <br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiioMkfftiaiUkmUlIsVBd-27_7VSHSPVyHcnLxxj5AW9xuFpEk_POBwJ1ITwS7DZ4fEi6EDY2mH3yahMjwIgGztJjnhs5xUJ1h9Nw_ukAQUSR3K2UlIcYY0XoYNGStLylyB9MLgd4vSS0/s1600/AlgoSettings.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiioMkfftiaiUkmUlIsVBd-27_7VSHSPVyHcnLxxj5AW9xuFpEk_POBwJ1ITwS7DZ4fEi6EDY2mH3yahMjwIgGztJjnhs5xUJ1h9Nw_ukAQUSR3K2UlIcYY0XoYNGStLylyB9MLgd4vSS0/s320/AlgoSettings.png" width="208" /></a></div>
<br />
<br />
The new version also includes rake support which means that the <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder" target="_blank">SB vs BB cash game preflop strategy pack</a> will be updated with new solutions that include rake. It also means you can now experiment with adding rake to your postflop solutions which particularly for lower stakes players can be interesting.<br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLlvBFU2u54UHzZiVlIDd9Bl-9P4b_HpuUhXKwBYCyLO5z1Zc0WhO4Tb9tuzse1BJt2PhhA0KO9o51B8kxiHXEQKYrZjl1tb56Ga9QoJ6gE3e7Ja4PjIpHuhbVNXozByJMYM-yqqgBsKw/s1600/rakeSettings.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiLlvBFU2u54UHzZiVlIDd9Bl-9P4b_HpuUhXKwBYCyLO5z1Zc0WhO4Tb9tuzse1BJt2PhhA0KO9o51B8kxiHXEQKYrZjl1tb56Ga9QoJ6gE3e7Ja4PjIpHuhbVNXozByJMYM-yqqgBsKw/s1600/rakeSettings.png" /></a></div>
<br />
<br />
You can download the free trial or purchase SPF here: <a href="http://simplepostflop.com/en/Buy?source=gtorangebuilder">http://simplepostflop.com/en/Buy?source=gtorangebuilder</a>. All GTORB readers get a $70 off discount on the Standalone solver.<br />
<div>
<br /></div>
Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-2509125786251068482016-02-17T13:13:00.000-08:002016-02-18T17:26:40.874-08:00New Strategy Pack Released: GTO Betsizing 2 -- Plus a Strategy Pack Discount Until February 29th I'm very excited to announce the launch of my latest strategy pack which continues to explore theory of bet sizing and how to use GTO calculations to estimate optimal bet sizes. The pack is available for purchase in the GTO dojo here: <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">http://gtorangebuilder.com/#gto-dojo</a>. The first 8 minutes of the video are available for free below.<br />
<br />
This pack picks up where Bet Sizing 1 left off with coverage of IP and OOP 3-bet pots, OOP single raised pots, new key strategy lines and more. I go through additional easily applicable board specific bet sizing strategies, measure how much board specific bet sizing strategies shift as hand ranges change and show how key strategy lines such as turn check-raise all ins in 3-bet pots relate to optimal bet size chioces. With over 100 minutes of video, 50+ GTORB flop solutions, and thousands of SPF solution source files this pack contains everything you need to immediately improve your bet sizing.<br />
<br />
And through February 29th we're offering a special discount where anyone who buys the new GTO Bet Sizing 2 strategy pack can get $50 off any one other strategy pack of their choice. Just purchase both packs from our website and email gtorangebuilder@gmail.com and I'll refund $50 to you within 24 hours.<br />
<br />
Note that the $50 off only applies to strategy packs that I made, so it applies to any pack in the GTO Dojo with the exception of the the Spins/HUSNG packs.
<br />
<br />
<iframe allowfullscreen="" frameborder="0" height="355" src="https://www.youtube.com/embed/6aiBIfvUft8" width="600"></iframe>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-83101358984947529112016-02-15T15:22:00.003-08:002016-02-15T15:31:44.023-08:00GTO Brainteaser #10 SolutionIn our most recent brainteaser, <a href="http://blog.gtorangebuilder.com/2016/02/gto-brainteaser-10-flipping-coins.html" target="_blank">here</a>, I posed a probability puzzle about the relative likelihood of seeing HHT or HTT first in a sequence of coin flips. I won't restate the full problem so please check out this post for the details: <a href="http://blog.gtorangebuilder.com/2016/02/gto-brainteaser-10-flipping-coins.html" target="_blank">http://blog.gtorangebuilder.com/2016/02/gto-brainteaser-10-flipping-coins.html</a>. Its been a while since I did a brainteaser so if you enjoy this type of content and want to see more let me know in the comments below.<br />
<br />
<h3>
Solution</h3>
<br />
So, how do we go about solving this type of problem?<br />
<br />
The key concept is that we will state things interms of the EV of reaching a specific state. Since many sequences of flips lead us back to a state that is EV equivalent to our starting state this lets us set up an equation in terms of our starting EV that we can solve. Thinking of the possible transitions from one EV state to another is a core concept in working out complex sequential EVs and is relative in situations like estimating your odds of winning a HUSNG vs an opponent when the stacks are not equal.<br />
<br />
Lets begin by computing the EV of our coin flipping game which requires determining the probability with which our sequence ends at HHT or HTT. We should note that to get HTT without getting HHT first requires that prior to or first H we had either just started the game, or we had flipped a T.<br />
<br />
Lets call S (S for start) the state where in our most recent history of flips neither of our last two tosses are H and the game has not ended. Call the EV of this state E. Note that the game starts in state S so (we have no previous tosses so they cannot be H) so E is also the EV of the game as a whole.<br />
<br />
Now what can happen from state S? If we toss and get tails we stay in state S. If we toss and get H we move into a new state which I will call P1.<br />
<br />
So we can already write the equation<br />
<br />
E = 1/2 * (EV of P1) + 1/2 * E.<br />
<br />
If we subtract 1/2 * E from both sides and multiply both sides by 2 we get<br />
<br />
E = EV of P1<br />
<br />
Now lets consider what can happen once we reach P1. <br />
<br />
<b>Case 1</b>: Our next flip is T -- If we get a tail then we are at least 3 flips from getting HHT, On our third flip 2 things can happen. Either we get H and are back in state P1 or we get T and the game ends and we win. So the EV of case 1 is just<br />
<br />
1/2 * (EV of P1) + 1/2 * Win<br />
<br />
<b>Case 2</b>: Our next flip is a H -- If we then get a 3rd head in a row we are back in Case 2 where our most recent history is HH. If we get a Tail as our 3rd flip the game ends and we lose. Thus the EV of case 2 is just<br />
<br />
EV of case 2 = 1/2 * EV of case 2 + 1/2 * Lose.<br />
<br />
Note that if we substract 1/2 * EV of case 2 from both sides and multiply by 2 this simplifies to<br />
<br />
EV of case 2 = Lose<br />
<br />
Since case 1 and case 2 are equally likely this means that:<br />
<br />
EV of P1 = 1/2 * (1/2 EV of P1 + 1/2 Win) + 1/2( Lose)<br />
<br />
This simplifies to<br />
<br />
3/4 EV of P1 = 1/4 Win + 1/2 Lose<br />
<br />
Multiply both sides of the equation by 4/3 to get EV of P1 = 1/3 Win + 2/3 Lose<br />
<br />
Which means our original Equation can be simplified to<br />
<br />
E = 1/3 Win + 2/3 Lose.<br />
<br />
This means that HHT comes first 2/3rds of the time and the EV of the game is 1/3 * 105 - 2/3 * 100 = -31.6666. This is a very profitable game for the casino despite it seeming at first glance like HHT and HTT should happen equally often!<br />
<br />
I'll leave the solution to the bonus as an exercise for those of you are excited to get your hands dirty with some math but I will state the final result which is quite surprising. <br />
<br />
It terms out the despite the fact the HHT comes first 2/3rds of the time, on average it takes more flips to get HHT than to get HTT. This seems like a paradox, when we win the game it happens more quickly on average than when we lose but we lose more often than when we win. I suspect that if a casino were to actually provide this game that paradox would lead many to naively overestimate their chances of winning as they played.<br />
<br />
I know it can also be helpful to see the results of these types of problems via simulation as well as by mathematics so I've put up some free runable code that monte-carlos the result here: <a href="https://jsfiddle.net/sg9g33t2/" target="_blank">https://jsfiddle.net/sg9g33t2/</a>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-16689131078090638542016-02-04T10:32:00.000-08:002016-02-07T16:31:54.890-08:00GTO Brainteaser #10 -- Flipping coinsWhile this problem isn't directly related to game theory, it does bring up some very interesting concepts from probability which is another essential mathematical topic in poker. Its also a really great brainteaser so I decided to go ahead and post it even if it is 100% GTO related. Disclaimer, I didn't not make this problem up, its a very old problem often taught in statistics that I was recently reminded of by reddit.<br />
<br />
<b>Problem</b>:<br />
<br />
You go to a casino and see that they've introduced a new game.<br />
<br />
They are flipping a fair coin and to play you must make a $100 bet. They will start flipping the coin and keeping track of the outcomes of heads or tails. They will keep flipping until they either get the sequence heads, heads, tails or heads, tails, tails over their last 3 flips.<br />
<br />
If heads, heads, tails comes first the game ends and you lose your bet of $100 for a loss of $100. If heads, tails, tails comes first the game ends and you win $105 (plus you get your $100 back) for a profit of $105.<br />
<br />
So for example if they get:<br />
<br />
HTHT<b>HTT</b><br />
<b><br /></b>
Then you win. On the other hand if it comes<br />
<br />
THT<b>HHT</b><br />
<b><br /></b>
then you lose.<br />
<br />
Is the game positive EV? What is the EV of the game?<br />
<br />
<b>Bonus</b>: On average, when you win how many flips does this game take? What about when you lose, what is the average number of flips in that case?<br />
<br />
Also, just incase you missed some of my past brainteasers here are links to the past problems (except the true/false quizzes).<br />
<br />
<ul>
<li><a href="http://blog.gtorangebuilder.com/2014/04/gto-brain-teaser-1-exploitation-and.html" target="_blank">GTO Brain Teaser #1: Exploitation and Counter-Exploitation in Rock Paper Scissors</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/04/gto-brainteaser-2-red-or-black.html" target="_blank">GTO Brainteaser #2 -- Red or Black</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/04/gto-brainteaser-3-blind-mans-bluff.html" target="_blank">GTO Brainteaser #3 -- Blind Man's Bluff</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/05/gto-brainteaser-5-bayesian-werewolves.html" target="_blank">GTO Brainteaser #5 -- Bayesian Werewolves</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/06/gto-brainteaser-6-barreling-and-bluffing.html" target="_blank">GTO Brainteaser #6 -- Barreling and Bluffing</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/10/gto-brainteaser-8-solving-turn-theory.html" target="_blank">GTO Brainteaser #8 -- Solving the Turn, Theory vs Practice</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/11/gto-brainteaser-9-multistreet-theory.html" target="_blank">GTO Brainteaser #9 -- Multistreet Theory: Range Building with Draws</a></li>
</ul>
Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-2352959025605217082016-02-01T12:03:00.003-08:002016-02-01T14:14:14.320-08:00New SimplePostflop HUSNG Preflop Solution Pack is AvailableI'm excited to announce that I've worked with SimplePostflop to release a preflop strategy pack that has HUSNG solutions at every stack size from 5BB up to 25BB in 1BB increments. All the solutions use 184 board flop subsets, include overbets and standard bet sizes in the postflop game tree, and have very low nash distances, making the pack for more precise than existing approximations.<br />
<br />
You can learn more and buy the pack here: <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder" target="_blank">simplepostflop.com/en/Solutions_Library?source=gtorangebuilder</a>. By using that link you will also get a $17.50 discount. You need to download the free version of SimplePostflop to view and browse the preflop solution files, but no other license is required, you can just buy the pack and you're good to go. <br />
<br />
I believe this is the most comprehensive HUSNG solution pack out there and the results are pretty fascinating. Some highlights of interest:<br />
<br />
<ol>
<li>Between 18bb and 25bb stacks we see a slow steady shift from limping to minraising from the SB, with the limping frequency decreasing about 3% for each 1bb increase in effective stack size. At the same time the SBs EV advantage steadily grows as stack depth increases.</li>
<li> At stack sizes of 20bb+ a 2.5x raise against a limp is almost never used and a large size is favored. However in the 12-16bb range a mix of using two different raise sizes against a limp is favored.</li>
<li>13bb is about the lowest stack size at which the SB should ever use a minraise as part of his strategy.</li>
</ol>
<div>
And of course there is much more. To fully study and learn the full GTO strategy from this pack would take weeks or months and it contains everything you need to implement GTO play in HUSNG.<br />
<br />
I've also gone ahead and put up 5 <b>free</b> GTORB postflop solutions that use the minraising and calling ranges from the preflop solution pack at 25bbs. You can explore them at the links at the bottom of the post.</div>
<div>
<br /></div>
<div>
I've also found it very interesting to compare the results in this pack to the results from Coffeeyay's SB vs BB Spins pack (where the SB is OOP) as it allows us to measure the value of position and to analysis its effects. That pack is also available here and GTORB users can get $10 off with this link: <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder">http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder</a></div>
<br />
<br />
<b>Free GTORB Postflop Solutions</b><br />
<b><br /></b>
<br />
<ul>
<li><b><a href="http://gtorangebuilder.com/#share_calc=Ac7h5s_363f5b8268a0b631acaa60fab93c9a89" target="_blank">http://gtorangebuilder.com/#share_calc=Ac7h5s_363f5b8268a0b631acaa60fab93c9a89</a></b></li>
<li><a href="http://gtorangebuilder.com/#share_calc=KcJd8d_79b20a354790fd146dd1bc8e9f7816e8">http://gtorangebuilder.com/#share_calc=KcJd8d_79b20a354790fd146dd1bc8e9f7816e8</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=AcQh2s_935bbac07318b9782429c4eef5bae75b">http://gtorangebuilder.com/#share_calc=AcQh2s_935bbac07318b9782429c4eef5bae75b</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=5h8h2c_77f6662470aa059dc694a5af2082a02f">http://gtorangebuilder.com/#share_calc=5h8h2c_77f6662470aa059dc694a5af2082a02f</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=7d7sQc_0813687049c288856569c9f74792847b">http://gtorangebuilder.com/#share_calc=7d7sQc_0813687049c288856569c9f74792847b</a></li>
</ul>
<div>
Enjoy!</div>
Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-22472629915784254802016-01-28T12:49:00.001-08:002016-02-19T11:09:34.854-08:00Why and how to learn GTO -- The GTO Learning PathOne of the most common questions that I get from players who are looking to get started with learning GTO and integrating GTO concepts is "where do I start?". Over the last year or two I've put out so many videos / blog posts / strategy packs, etc that it can be difficult to know where the jump in, whether you are completely new to GTO or whether you already have a strong fundamental understanding of GTO concepts.<br />
<br />
At the bottom of this post I'm going to put links to all of our relevant GTO articles, videos, strategy packs, quizzes and brainteasers so that hopefully this post can be a one-stop place to learn everything you need to do to master GTO concepts and apply them to your game.<br />
<br />
But before I lay out the curriculum I want to start by answering one of the most common and fundamental questions that every player should ask themselves before learning GTO theory and strategy.<br />
<br />
<h3>
Why should I learn GTO?</h3>
<div>
<br /></div>
<div>
The core answer is simple very simple, to win more money! How exactly understanding GTO theory does this however is more complex and often very misunderstood so I want to directly state the core values of learning GTO strategy and dispel some of the misinformation that is out there. Perhaps the biggest misconception is the idea that the goal of learning GTO is so that we can play the GTO strategy 100% of the time and abandon exploitative play completely. As we'll see below that is of course ridiculous, and in fact, an understanding of GTO is an invaluable tool in identifying and exploiting leaks in our opponents play.</div>
<div>
<br /></div>
<div>
At the poker table we are going to encounter a variety of players of various skill levels who play a wide variety of strategies. At various times we will be playing in a situation where we have no read whatsoever on our opponents, or against a player who we know is stronger than us. At other times we will be playing against weaker players who have clearly defined strategy errors that we believe they are unlikely to correct and that we can exploit. </div>
<div>
<br /></div>
<div>
Our ability to win in the long run requires that we can both play fundamentally strong poker that is difficult for our opponents to exploit in situations where we are readless or against strong opposition, while also being able to quickly identify and attack leaks in our opponents' strategies in ways that do not open us up to counter exploitation. Both of these goals are nearly impossible to achieve without a strong understanding of GTO strategy.</div>
<div>
<br /></div>
<div>
Lets begin by considering how to identify and attack leaks in our opponents. Lets imagine that you are facing an opponent in a 100bb cash game who raised UTG to 3x and you flatted from the button and the other players folded. He c-bets 80% of the pot on a AT3r flop. You look at your HUD and note that this players OOP c-bet frequency in single raised pots is 62% and that he opens UTG about 17%. How should we react to his c-bet with various parts of our range? </div>
<div>
<br /></div>
<div>
It turns out that without a reasonable knowledge of GTO strategy the question above is very difficult to answer and in fact that for years "standard" play approached this situation incorrectly. We first might want to ask, is a 62% out of position c-bet frequency too high (and thus should be exploited by calling or raising a much higher % than usual and by betting near 100% after he checks a flop) or to low which of course would be exploited differently.. This is impossible to know without knowing what the correct, unexploitable c-bet frequency is in out of position pots. <br />
<br />
With GTO computation we can actually directly asses what an appropriate c-bet frequency on this board is (about 15%) and browse the entire GTO strategy and compare it to how we think our opponent plays. You can see an example of that here: <a href="http://gtorangebuilder.com/#share_calc=AhTc3s_817242a1f8d8ce5f75f7b848fcf709b0">http://gtorangebuilder.com/#share_calc=AhTc3s_817242a1f8d8ce5f75f7b848fcf709b0</a>. We can then lock in our opponents incorrect c-betting strategy and optimize our play computationally against that.</div>
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For a long time many players, who at the time were considered quite good, c-bet a very high frequency here. They got away with it because no one had the tools or knowledge to correctly identify and exploit the leak.</div>
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However, we now know that there are very few boards where c-betting more than 50% of the time as an UTG raiser vs a BTN call is GTO, so c-betting 62% on average is way too high. This player is c-betting far too aggressively so we should attack his c-bet. If we have enough of a read to know that this play might c-bet 62% on this specific flop texture we could use a minimally exploitative strategy calculation (which you can learn about below) to determine that even if our opponent plays the turn and river perfectly we can probably raise this bet with as much of 20% (~3x as often as we would raise against a GTO c-bettor) of our range and we should only fold the about a third of our range, netting an EV gain of about half a big blind in a single hand. </div>
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If we believe our opponent at least recognizes that AT3r is a board that should be c-bet from OOP less often than an average board we might exercise a bit more caution but we can again estimate his c-betting range and determine that we should raise/call far more than usual. </div>
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Without knowing what the GTO c-betting strategy is like is this spot we cannot identify strategy errors. We can note that some players c-bet in a spot more or less than the population average but we have no way to be sure if that is a mistake or actually play that is better than the population and history shows that significant population level strategy errors can exist in "standard" play for years before they are exploited and fixed.</div>
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Similarly consider the situation where we open a 17% UTG range and get flatted by an unknown player in the BTN (or a very tough player). Since GTO play will grind out a steady profit against sub-optimal players and because we have no specific read on the exact leaks in the BTNs game, our best bet in this spot is generally going to be to c-bet according to GTO. By having a fundamentally solid and well structured c-betting range in this spot we will increase our win-rate against unknowns and prevent stronger players from exploiting errors in our play. We can neither prevent leaks from appearing in our own game, nor can we systematically identify and exploit leaks in other players games without knowing what exactly "leak free" GTO play looks like.</div>
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So hopefully that gives you guys motivation to put in the study time and become GTO experts. Here's how you can do it.</div>
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<h3>
GTO Resources / Learning Path</h3>
<div>
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<ul>
<li>Free Video Track</li>
<ul>
<li><a href="https://www.youtube.com/playlist?list=PLqGGNvH4Z3DrfRflJjkSxZqAwlcpSKfbG" target="_blank">Youtube playlist</a></li>
</ul>
<li>Brainteasers</li>
<ul>
<li><a href="http://blog.gtorangebuilder.com/2014/04/gto-brain-teaser-1-exploitation-and.html" target="_blank">GTO Brain Teaser #1: Exploitation and Counter-Exploitation in Rock Paper Scissors</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/04/gto-brainteaser-2-red-or-black.html" target="_blank">GTO Brainteaser #2 -- Red or Black</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/04/gto-brainteaser-3-blind-mans-bluff.html" target="_blank">GTO Brainteaser #3 -- Blind Man's Bluff</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/05/gto-brainteaser-5-bayesian-werewolves.html" target="_blank">GTO Brainteaser #5 -- Bayesian Werewolves</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/06/gto-brainteaser-6-barreling-and-bluffing.html" target="_blank">GTO Brainteaser #6 -- Barreling and Bluffing</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/10/gto-brainteaser-8-solving-turn-theory.html" target="_blank">GTO Brainteaser #8 -- Solving the Turn, Theory vs Practice</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/11/gto-brainteaser-9-multistreet-theory.html" target="_blank">GTO Brainteaser #9 -- Multistreet Theory: Range Building with Draws</a></li>
<li><a href="http://blog.gtorangebuilder.com/2016/02/gto-brainteaser-10-flipping-coins.html" target="_blank">GTO Brainteaser #10 -- Flipping coins</a></li>
</ul>
<ul>
</ul>
<li>Card Runners Series (not free)</li>
<ul>
<li><a href="http://www.cardrunners.com/poker-videos/the-theory-of-winning-part-1-asuth/" target="_blank">Theory of Winning</a></li>
<li><a href="http://www.cardrunners.com/poker-videos/multistreet-gto-theory-practice-part-1-asuth/" target="_blank">Multistreet GTO Theory and Practice</a></li>
</ul>
<li>GTO Quizzes</li>
<ul>
<li><a href="http://blog.gtorangebuilder.com/2014/05/gto-brainteaser-4-gto-true-or-false.html" target="_blank">Quiz 1</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/08/gto-brainteaser-7.html" target="_blank">Quiz 2</a></li>
</ul>
<li>Theory fundamentals articles</li>
<ul>
<li><a href="http://blog.gtorangebuilder.com/2014/03/strategies-nash-equilibria-and-gto.html" target="_blank">Strategies, Nash Equilibria and GTO Poker</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/03/gto-poker-outside-of-heads-up-what-it.html" target="_blank">GTO Poker Outside of Heads Up -- What it solves and what it does not</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/03/range-equity-vs-range-balance-which.html" target="_blank">Range Equity vs Range Balance -- Which matters more?</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/03/gto-play-does-more-than-break-even.html" target="_blank">GTO play does more than “break even” -- dispelling the myth</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/04/unexploitable-exploitation.html" target="_blank">Unexploitably Exploitative: How to (Out)Think Like a Fish</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/07/gto-poker-and-multiple-equilibria-part-1.html" target="_blank">GTO Poker and Multiple Equilibria Part 1</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/07/gto-and-multiple-equilibria-part-2.html" target="_blank">GTO Poker and Multiple Equilibria Part 2</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/09/gto-poker-and-multiple-equilibria-part-3.html" target="_blank">GTO Poker and Multiple Equilibria Part 3</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/11/gto-is-so-much-more-than-unexploitable.html" target="_blank">GTO is so much more than unexploitable</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/11/epsilon-equilibrium-how-you-can.html" target="_blank">Epsilon Equilibrium: How You Can Separate GTO Fact from Fiction</a></li>
<li><a href="http://blog.gtorangebuilder.com/2015/02/verifying-gtorangebuilder-flop-solution.html" target="_blank">Verifying a GTORangeBuilder Flop Solution with CREV</a></li>
</ul>
<li>Applied Strategy Posts</li>
<ul>
<li><a href="http://blog.gtorangebuilder.com/2015/10/using-bulk-gto-calculations-and-ev.html" target="_blank">Using Bulk GTO Calculations and EV aggregation to improve preflop ranges</a></li>
<li><a href="http://blog.gtorangebuilder.com/2015/04/minimally-exploitative-play-measuring.html" target="_blank">Minimally Exploitative Play --- Measuring leaks with Simple Postflop</a></li>
<li><a href="http://blog.gtorangebuilder.com/2014/03/blog-post.html" target="_blank">Range Building with Bluff Catchers</a></li>
</ul>
<li>Flop Solution Library</li>
<ul>
<li><a href="http://blog.gtorangebuilder.com/2015/04/gtorb-flop-library-highlights-1.html" target="_blank">GTORB Flop Library Highlights #1</a></li>
<li><a href="http://blog.gtorangebuilder.com/2015/07/gtorb-flop-library-highlights-2.html" target="_blank">GTORB Flop Library Highlights #2</a></li>
<li><a href="http://blog.gtorangebuilder.com/2015/12/christmass-discount-special-20-free.html" target="_blank">20 Free monotone flop solutions</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">View the library (not free)</a></li>
</ul>
<li>Premium Strategy Packs (not free)</li>
<ul>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Betsizing</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Betsizing 2</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">OOP C-Betting and IP Calling</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">In Position C-betting</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Play in 3-Bet Pots</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Flop C-bet Defense</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">Blind vs Blind Strategy</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Spin-n-Go play</a></li>
<li><a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Play in HUSNGs</a></li>
</ul>
</ul>
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Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-26112109981112251632016-01-21T11:45:00.002-08:002016-01-21T11:59:20.808-08:00Get a free strategy pack when you buy two --- through February 1stBy popular request I'm going to be offering a special <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">strategy pack</a> sale from now through February first. Anyone who buys two strategy packs at the regular price between today and February 1st 2016 can get a third strategy pack that was created by me (Alex Sutherland) of their choice for free! Just email gtorangebuilder@gmail.com once you've purchased two packs and tell me which free pack you'd like and I'll add it to your account within 24 hours.<br />
<br />
As usual you can preview and purchase all of our strategy packs in our GTO Dojo at: <a href="http://gtorangebuilder.com/#gto-dojo">http://gtorangebuilder.com/#gto-dojo</a><br />
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Enjoy!Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-41094531184601575512016-01-20T09:38:00.003-08:002016-01-20T12:49:38.982-08:00SPF launches Preflop Solution Packs -- Discount for GTORB ReadersI'm excited to announce that <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder" target="_blank">SimplePostflop</a> has released their first two preflop solution packs which are available for sale here: <a href="http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder" target="_blank">http://simplepostflop.com/en/Solutions_Library?source=gtorangebuilder </a>. If you go to the site using that link you will automatically get a 5% discount of off all solution packs. The packs give you full access to large pre-computed preflop solutions at a greatly reduced cost compared to constructing and calculating the solutions yourself (the existing two packs are in the $100-$200 range).<br />
<br />
No SPF license is required to purchase and use preflop solution packs, all you need is a free SPF account.<br />
<br />
Right now there are only two packs available, one by Coffeeyay with SBvsBB solutions for spin-n-go situations and one with SBvsBB solutions at 50/75/100/150 stack depths for cash players. Currently the cash solutions do not include rake but rake support as well as many more solution packs will be coming over the next few months. I'll also be personally constructing some preflop packs soon so keep your eye out for an announcement in the coming weeks.<br />
<br />Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-7799139553081845392016-01-04T14:59:00.000-08:002016-01-04T14:59:32.263-08:00GTO Betsizing Strategy Pack ReleasedI'm very excited to announce the release of latest strategy pack on <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Bet Sizing</a> which contains both pure theory on bet sizing and in depth analysis of optimal bet sizing on various board textures in 3-bet pots, single raised pots and on the river. With ~2hrs of video and 80+ GTORB solutions this pack provides an indepth demonstration of how to study and analyze optimal bet sizing with modern computational tools.<br />
<br />
This is also the first new strategy pack I've put out since the launch of the GTORB flop solver, which (in addition to letting you solve custom scenarios of your own design) lets you open any strategy pack solution, tweak the ranges / board / bet sizes as you see fit, and resolve the scenario, all in just a few clicks. <br />
<br />
To encourage people to try this out I'm offering a special discount where anyone who buys the new GTO Bet Sizing pack before February 1st 2016 can get a month of GTORB flop access with 200 flop calcs for just $20. Just purchase the strategy pack from the <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Dojo</a> and a monthly subscription from the<a href="http://gtorangebuilder.com/#buy-now" target="_blank"> GTORB buy now</a> page and email gtorangebuilder@gmail.com and I'll refund $25 to you within 24 hours.<br />
<br />
For more info you can check out the free preview on youtube below and you can purchase the strategy pack in our <a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">GTO Dojo</a>.<br />
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<br />
<br />
<iframe allowfullscreen="" frameborder="0" height="355" src="https://www.youtube.com/embed/g6_Hy23mY1s" width="600"></iframe>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-87340228758135721522015-12-23T10:14:00.001-08:002015-12-23T10:14:56.569-08:00Christmas Discount Special + 20 Free Monotone Flop SolutionsStrategy on monotone boards can be reasonably unique and I've gotten a few viewer requests for some remixes of strategy pack solutions on monotone flops so I decided to release 20 new monotone board flop solutions for free. To create these 20 solutions, I took 5 game trees, one from each of my strategy packs to date and ran 4 different monotone boards on each .<br />
<br />
With a <a href="http://gtorangebuilder.com/#buy-now" target="_blank">GTORB flop subscription</a> this type of remixing is now very easy to do, you can just open any strategy pack solution, hit the back button, change the board cards and click solve. You can queue up as many such calculations as you want and the GTORB cloud will solve them all in parallel depending on server availability (these 20 calcs were all done within about 25 minutes). <br />
<br />
And as a Christmas Special, for anyone who purchases a 6 Month GTORB Flop license between now and Jan 1st 2016 will get a free strategy pack of their choice (that I created) and 500 bonus flop calculations for free. Just purchase a license from the website as usual and email gtorangebuilder@gmail.com to let me know what strategy pack you'd like to get access to and it will be added to your account within 24 hours.<br />
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Here are the monotone solutions enjoy:<br />
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<a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">OOP C-betting -- UTG vs BTN</a><br />
<br />
<ul>
<li><a href="http://gtorangebuilder.com/#share_calc=KhJh4h_f25a243cfee44fea7fc7183fa97aef77" target="_blank">KhJh4h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=7h5h2h_f6143d75821aa8642dded4c4cf429376" target="_blank">7h5h2h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=AhKh6h_d037156eb514c6e34dce21294087f985" target="_blank">AhKh6h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=Kh9h4h_83b7e028fd7e9dfe3c9326c980845616" target="_blank">Kh9h4h</a></li>
</ul>
<br />
<a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">IP C-betting -- CO vs BB</a><br />
<ul>
<li><a href="http://gtorangebuilder.com/#share_calc=KhJh4h_d137f73136b8f6f83769ffa74a21dcfa" target="_blank">KhJh4h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=7h5h2h_b62f251b4f9f7186df2abd6319cb1529" target="_blank">7h5h2h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=AhKh6h_932c7b5c9f32a5f0cf76f6e6c7585abf" target="_blank">AhKh6h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=Kh9h4h_a52ed120b3742ca0e7ead2eb08c7e5a7" target="_blank">Kh9h4h</a></li>
</ul>
<a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">Blind vs Blind</a><br />
<ul>
<li><a href="http://gtorangebuilder.com/#share_calc=KhJh4h_d3afc208685f214253655dbb27d9f2ad" target="_blank">KhJh4h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=7h5h2h_78a2d494ce699882cdc3e7d9c42e4340" target="_blank">7h5h2h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=AhKh6h_86edbb55ae22e5224542e6b7f42bd981" target="_blank">AhKh6h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=Kh9h4h_cd978baaf4a3bcec327c15fad45cf95c" target="_blank">Kh9h4h</a></li>
</ul>
<a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">3bet -- SB vs CO</a><br />
<ul>
<li><a href="http://gtorangebuilder.com/#share_calc=KhJh4h_8e819700f2d5c74c5e9bc2e0adf0af85" target="_blank">KhJh4h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=7h5h2h_dbde88489499669bde0f9105d76f2aad" target="_blank">7h5h2h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=AhKh6h_c7978fa76d3520b4732b5f599653d766" target="_blank">AhKh6h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=Kh9h4h_d2db6d889f7f79abc501f2a885372d0c" target="_blank">Kh9h4h</a></li>
</ul>
<a href="http://gtorangebuilder.com/#gto-dojo" target="_blank">C-bet Defense -- CO vs BB</a><br />
<ul>
<li><a href="http://gtorangebuilder.com/#share_calc=KhJh4h_10e6dbf0453ffc9ccdfce63e025ea027" target="_blank">KhJh4h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=7h5h2h_73bd6d41f12900507e38945a4912c86e" target="_blank">7h5h2h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=AhKh6h_82ddb0e37479ab79634f92a18698fd9d" target="_blank">AhKh6h</a></li>
<li><a href="http://gtorangebuilder.com/#share_calc=Kh9h4h_017b013ca12fcbd866ff4bef67c5a6f3" target="_blank">Kh9h4h</a></li>
</ul>
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<br />Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0tag:blogger.com,1999:blog-6899095487697524238.post-66871528670956508032015-12-10T13:24:00.002-08:002015-12-10T14:26:25.115-08:0018bb 184 flop HUSNG SolutionI've released a new video showing an 18bb HUSNG solution computed with <a href="http://simplepostflop.com/en/?source=gtorangebuilder" target="_blank">SimplePostflop's</a> 184 board abstraction. You can check out the video below. The solution is freely available to the community (thank you SPF team for being so generous!) for anyone with a free SimplePostflop account. You can buy their preflop solver and get bonus calculations as a GTORB reader with this link: <a href="https://simplepostflop.com/en/?source=gtorangebuilder">https://simplepostflop.com/en/?source=gtorangebuilder</a>. Enjoy :)<br />
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<br />
<iframe allowfullscreen="" frameborder="0" height="345" src="https://www.youtube.com/embed/haKqCMEp_7U" width="650"></iframe>
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<br />
Just download Simple Postflop <a href="http://simplepostflop.com/en/?source=gtorangebuilder" target="_blank">here</a>, then go to File --> updates and replace the link with: http://simplepostflop.com/preflop_x64/.<br />
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Go to the SaaS tab in the top menu, login in (register for free if needed) and then go to the HU Preflop tab. Open the "Cloud" menu and chose "Preflop Situations" and the scenario will be available for free download. The "download flops" button will download all the flop solutions which you can then open in SimplePostflop at your convenience.<br />
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<span style="background-color: white; color: #666666; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 10.56px;">SimplePostflop is offering all GTORB members a small bonus on preflop points (3.5%) just purchase the preflop version after clicking this link: </span><a href="http://simplepostflop.com/en/?source=gtorangebuilder" style="background-color: white; color: #33aaff; font-family: 'Trebuchet MS', Trebuchet, Verdana, sans-serif; font-size: 13.2px; line-height: 10.56px;" target="_blank">simplepostflop.com/en/?source=gtorangebuilder</a>Alexhttp://www.blogger.com/profile/11311298475823427719noreply@blogger.com0