Game Theory Optimal Push Fold Tables

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Game Theory Optimal Push Fold Tables Table
Game Theory Optimal Push Fold Tables Set

Modern Poker Theory: An introduction

Texas No Limit Hold'em is a game of strategy with incomplete information. To establish an optimal strategy in Texas NLHE, it is necessary to take several factors into account including position at the table, value of the hand held, stakes involved but also the mathematical aspect of it. It is the latter which is of interest in push or fold charts.
Push Fold Charts These Push Fold Charts will help you understand when you need to either fold or shove your entire stack when you are short stacked in poker tournaments. Please use these charts as a study tool to help you improve your understanding of push fold.

Think game theory is abstract and incomprehensible? Play Optimal Poker shatters the myth that game theory is only for elite poker players. Renowned poker pro and coach Andrew Brokos takes you step-by-step through the fundamentals, explaining core game theory principles and how to apply them in real poker situations.

11/03/2018by Byron Jacobs

We are very excited about our forthcoming book Modern Poker Theory by leading poker theorist, Michael Acevedo. If you follow poker forums you’ll have noticed that a lot of the discussion nowadays revolves around the concept of GTO (Game Theory Optimal) play. This book will give the reader a thorough understanding of the whole GTO concept and fully explain how to incorporate it into your own play.

The following extract will give a really good indication of the scope of the work and Michael’s own expertise.

An Unspoken Truth

For years, the top poker players have had access to private analytical software that helped them further increase their edge, but now, the poker landscape is evolving. Poker software is becoming more sophisticated, yet easier to use, and is publicly available so anyone can get access to modern equity calculators, push/fold apps, range analysis software, EV decision trees, and GTO solvers.

When I first started playing online and learned about all these tools, I assumed the top players were the ones who had mastered them and knew the math dictating proper play in every single spot, but I could not have been more wrong. Even today with the proliferation of these tools, most poker players don’t want to spend thousands of hours becoming proficient with every single piece of software and learn how to set up dedicated servers to run week-long GTO calculations.

So, how do world-class players manage to get access to the most advanced poker theory without spending thousands of hours in the lab?

They outsource the work! They hire mathematicians and game theory experts to fulfill this task for them so they can spend their time doing what they enjoy the most: winning all the money at the tables!

I know this to be true because I’m one of those specialists who has been tirelessly creating content for them. Over the last few years, I have been making articles, theory videos, and webinars for online staking groups. I also make GTO solution packages for world-class players. I used to tell everyone that I was a professional poker player, but it was not until the moment I wrote these very words that I realized being a professional poker player is not actually what I have been doing. My playing volume, both live and online, has been laughable. I suggest my students play 80% of the time and study 20% of the time, yet I do the exact opposite.

Despite my lack of volume, I managed to rank as high as 117th in the world according to the PocketFives sliding leaderboard, but at this point, I do not consider myself a professional player. That said, I still make a point to play on a regular basis to keep tabs on the current metagame. If I never played, I would not be able to help my students learn to combat their opponents’ mistakes because I would be unaware of them. I love the game of poker and after finishing writing my book, Modern Poker Theory, all I want to do is hit back the tables with everything I’ve got!

My upcoming book, Modern Poker Theory, is the culmination of years of research and coaching. I have put my heart into it and did my best to make it different from all other theory books that present a lot of theory with few or no practical applications. My goal is to make game theory accessible to everyone, so players won’t have to spend all their time figuring stuff out and can instead do what they are supposed to be doing: playing poker!

What is the game of poker all about?

There are many reasons people play poker. Some like to have fun and socialize, some play for the thrill of running a big bluff or outthinking their opponents, others play for the glory of winning a tournament, to make a living, or to become the best. Whatever their motivation, no one plays poker with the goal to lose money, and so at their core, all poker players share the same goal: Generate and maximize profit!

What is profit?

Profit = opponent mistakes - our mistakes

If you play in games where most players are just terrible, and play for a lot of money, as happened during the golden age of online poker right after the Moneymaker Effect and before Black Friday, you could play quite poorly and still make a lot of money because your opponents played even worse. Alternatively, you could be the best ninth player in the world and get destroyed if you played only against the eight best players in the world.

Game theory optimal push fold tables table

In the current poker ecosystem, exploitative play (adjusting from our default strategy to take advantage of our opponents’ mistakes) will still make us a lot of money, but as the average player becomes more skilled, the ratio of good players to bad players constantly increases, leading to lower edges. Because vigilant Villains are trying to exploit us at the same time we try to exploit them, we no longer have the luxury of ignoring our own game. Many famous “top players” who failed to adapt and improve over the last few years have seen the game pass them by, forcing them to quit or move down because they can no longer beat the games.

Since you cannot control how well your opponents play, you should focus on minimizing your own mistakes.

This is the GTO study premise. It is not only about balance or equilibrium. It is about understanding the game at its core and actively using that knowledge to generate value!

How do you to generate and maximize profit?

Fix leaks in your own game, find what others are doing wrong, and then exploit them!

If you enjoy this article and think this book is for you then pre-order now and the book or ebook will be sent to you as soon as it publishes: Modern Poker Theory

Paul Ratchford

The debate has raged for years about whether players should be trying to utilize a game theory optimal (GTO) strategy or an exploitive one. In many cases, the debate is distracting players from what is really important. I’ll try to clear up some of the confusion.

What is Game Theory Optimal Poker?

GTO is achieved when you create unexploitable ranges. GTO play yields the highest possible expected value when your opponent utilizes an ideal strategy against you. Unfortunately, it does not yield the highest possible expected value (EV) when you are playing against weak opponents with non-GTO ranges. In these situations, you should be focusing on playing exploitive no-limit hold'em instead. When trying to conceptualize GTO, think about a game of 'Rock, Paper, and Scissors.' If you play a randomized, balanced mix of rock, paper, and scissors, you will be unexploitable. Any game play that is not “balanced” will be theoretically “exploitable.” Because GTO play is not exploitable, many players seem to view it as the most desirable way to play. However, at many poker games, playing a maximum exploitive style will yield superior results.

What is Maximum Exploitive No-Limit Hold'em?

Maximum exploitive NLHE occurs when a player chooses the most exploitive line to maximize his/her expected value. Most players do not play balanced ranges and, therefore, we should seek to maximize our edge by playing appropriately unbalanced in response. In a Rock, Paper, Scissors example, where we know that our opponent will throw rock 100% of the time, we would simply use paper 100% of the time. Even if we knew that our opponent threw rock 40% of the time, 30% paper, and 30% scissors, the maximum exploitive play would still be paper 100%. In NLHE, if you play heads up versus an opponent who folds 100% of the time to three-bets, your response would be to reraise 100%. It is important to note that if you are playing against a GTO opponent, the maximum exploitive strategy will be GTO. The appropriate response to a perfectly balanced Rock, Paper, and Scissors range is to be perfectly balanced yourself.

How does GTO Help you Win at Poker?

GTO is perhaps best used as a default strategy against good unknown opponents and against highly skilled opponents. However, if your goal is to achieve a high winrate, moving away from GTO and toward a more exploitive style of play will be necessary. In order to play exploitively, you need opponents who have weaknesses. This is why an essential part of having a good winrate at NLHE is table selection. If you find yourself challenging a bunch of GTO-like players, you are probably at the wrong table.

Understanding what GTO ranges look like is also helpful because it helps us to know how far our opponents are from a GTO strategy. This will help us to isolate weaknesses and attack them. Let’s briefly examine the math behind this without getting too bogged down in it. Consider a three-bet scenario where we are on the button, and we three-bet a standard 3x raise to 9x. We know that (x/(x+y))*100= breakeven % with fold equity (where x= amount we risk and y= amount in pot). So 9/(9+4.5)= 66.66%. Therefore, if we risk 9 to win 4.5, it needs to work 66% of the time, assuming we lose all of the pots where our opponent calls or reraises. Since we know that is not actually the case, a GTO approach to facing this three-bet will require us to fold less than 66.66% of the time. With this knowledge, we can look to exploit players who fold more than 66% of the time versus three-bets. Despite knowing a fold to three-bet % over 2/3rds is exploitable, it is generally only advisable to fight back against over 1/3rd of three-bets against quality opponents. Why? Because many opponents, especially at low games, do not three-bet enough, and have overly tight three-bet ranges. In fact, many nitty low-stakes players only three-bet the most premium hands for value and don’t balance their ranges at all. The most successful strategy yielding a high winrate is to play exploitively against weak ranges and GTO (or close to it) against other more GTO-like players.

GTO is Great for Multitabling

Another tremendous benefit of GTO is if you are mass multitabling. The more tables that you play, the more challenging it becomes to isolate weaknesses and exploit edges. Also, if you do not construct your ranges appropriately when multitabling, you may end up with opponents who are utilizing unbalanced exploitive strategies against you without you even realizing it. This is much less likely to happen on a couple of tables because you should notice if your opponent is out of hand. In my experience, when playing over 10 tables, it becomes incredibly challenging to notice and attack small errors in your opponents’ frequencies. GTO allows you to be confident in your ranges while playing thousands of hands per day. This can be tremendously beneficial if the majority of your income comes from rakeback.

Can we Determine what GTO Plays Are?

For the most part, the answer to this is no. A lot of people are trying to play GTO poker, but the best we can say is that some players are much closer to achieving GTO ranges than others. Because it is largely unattainable doesn’t mean we shouldn’t strive to understand what it is and how it can be utilized. Where we are able to determine what a GTO play is with relative ease is in push/fold scenarios with relatively short stacks. There are simply too many possible flop, turn, and river combinations to try to construct a truly GTO strategy. When we factor in bet sizing on each street, there are probably billions if not trillions of possible combinations. This complexity is what makes the task so daunting and why using many simple examples to illustrate concepts are necessary (though not ideal).

Why is Playing a Maximum Exploitive Style Critical for your Winrate?

I wrote my book about how to play exploitively because I think that is the fine finish many players lack. The best and the worst players should all be seeking to maximize their expected value wherever possible. Weak players provide tremendous opportunities for strong players to exploit their weak ranges. In Exploitive No Limit Holdem, I talk extensively about attacking these weaknesses and maximizing your value. So many players I know are break even or really marginal winners. I want to help turn those players into solid winning players. I believe the best way to do that is by building a solid GTO foundation, and then focusing on playing exploitively. All of you should be able to think of numerous instances where your opponents had huge leaks. Unfortunately, in many cases, you may not have been comfortable exploiting those optimally. In fact, many players become frustrated when playing against maniacs. This is because they don’t understand how they should be adjusting their ranges away from the norm when facing unorthodox situations.

Final Thoughts on GTO and Maximum Exploitive Strategies

Once we know what GTO-like frequencies look like, we can logically assume that anybody significantly off of those numbers is exploitable and open to attack. If a player folds too little against three-bets, we will likely reraise large percentages for value with a premium range of hands that dominates our opponent’s range. If our opponent folds too much versus flop continuation-bets, we will continuation-bet aggressively. There are a myriad of ways to attack our opponents, but first we need to build the fundamental building blocks. Think of a cake with icing on it. GTO is the cake and exploitive play is the icing.