Gto Game Theory

When it comes to developing an overarching poker strategy that you can take to the table, there’s two sides to the coin that you need to look at. On one end, we have game theory optimal, or GTO, strategy, where we try to stick as closely to a “solved” game as possible. Essentially, this means making the move that, in the aggregate and against any opponent, will result in a winning game. Most relevant lists of abbreviations for GTO (Game Theory Optimal).

So for starters, what does that mean, an unexploitable strategy? You will also hear the word balanced or balancing used in these discussions. I think the easiest way to explain this is with a basic example:

GTO - Game Theoretical Optimum This concept from game theory refers to a play that can be considered the optimal strategy in terms of a Nash equilibrium. In reference to poker this means: If you are playing an optimal strategy, it does no longer matter what your opponent does since his play against you will never have a positive expected value. Game Theory Optimal doesn’t take into account the opposing player’s tendencies. This is a massive problem for GTO poker. If you’re following Game Theory Optimal and it says that you should put out a big bluff on the river vs. Your opponent, it’s not taking into consideration the possibility that your opponent is.

Let’s say there is $100 in the pot, and you bet $100 on the river. Your opponent, who has a medium strength hand (a bluff catcher, something like JT on a board of QJ963), has to now decide whether or not to call this final river bet. They have to call $100 to win the $200 now in the pot. Therefore the call must be right 1/3rd of the time. If it is right exactly this often, the call breaks even over the long run (losing $100 each of the two times it’s wrong, and winning $200 the one time it’s right). And they have a hand strength that will lose to everything you are betting for value, and beat everything you’re bluffing with. Now, if they had a read that you were a conservative player that never bluffs the river, then they can easily fold to this bet.

Conversely, if you were a known wild bluffer, they can easily call knowing they’ll catch you well more than 1/3rd of the time with a bluff. Let’s say, however, that you bet your range of hands on the river such that you are value betting 2/3rds of the time and bluffing 1/3rd. This is the unexploitable strategy… your opponent is now indifferent to calling or folding. If they call all the time, they will break even by catching you bluffing at the precise frequency that the pot odds are offering them, netting them zero won/lost over the long term (and if they fold all the time by definition they win/lose zero on the river over the long term). So you are bluffing at a GTO frequency, making this river bet unexploitable… it doesn’t matter if they call or fold.

Why should you learn about GTO strategies?

I think you may start to see from the example, that learning about GTO strategies involves topics like basic math, odds, ranges, and frequencies. As you study these things, you’ll develop a much stronger sense of constructing solid ranges, so when you get to the river in a hand you have a more balanced range… in the case of the example above, picking the appropriate number of value bets vs. bluffs. And learning what types of hands are better to bluff with given the board texture, situation, and bet sizing.

A firm grasp of these concepts will help you to make much better decisions, understand situations and ranges better, and help control your opponents through keeping proper frequencies. Exploiting their frequencies – like in the example above, if you were a known bluffer or a known non-bluffer – those are lopsided frequencies that can be exploited by calling down frequently, or not calling down with any marginal made hands at all. These are all concepts that fall under the umbrella of GTO play. Learning this will not only strengthen your understanding of the game a great deal, but also prepare you to play against other very strong players who also understand these concepts. If you are in a tournament heads up against Fedor Holz, playing a GTO strategy will prevent Fedor (or any expert) from being able to exploit you.

Now that we’ve talked about what GTO means, and why it’s a good thing to learn more about, let’s talk about why you should not be focusing on doing this in your games. This comment may surprise you. This GTO business sounds pretty nice. I should work on it away from the tables to strengthen my game. But now in the heat of battle, not use it? That’s right.

The reason is, for most readers, you will be playing against opponents who make many frequent mistakes. And thus, although a GTO strategy will be profitable against them, an exploitative strategy will do even better. For instance, in our example above, we know that when we bet $100 into $100, the GTO bluffing frequency is 33% to make our opponent indifferent to calling or folding. If our opponent is a world class player who excels at reading their opponents, this forced indifference is a good thing… by default they cannot get the best of us. Most of your opponents, however, will not be Fedor Holz or Phil Ivey. Especially in the micro and small stakes games, they will be making many frequency mistakes.

So for instance, if your opponent were a tight/conservative player who never calls big river bets without a monster hand, then we will make quite a bit more money over time by bluffing at a higher frequency than 33%. In fact against this player a much better strategy might be to value bet much tighter/stronger hands, and add in more bluffs from our range so that we may be betting with 20% value bets (our strongest hands only) and 80% bluffs. This is a frequency that is well out of balance, and our opponent could easily exploit us by calling down much lighter (a common adjustment to someone who bluffs too much).

But unlike the world class player, they won’t recognize this and exploit us, they’ll just keep folding too much. Or on the other side of that coin, if our opponent is a calling station that calls down with any pair or even ace highs, then we can exploit that by betting much wider for value (2nd pair may be an easy value bet vs. this type of calling station), and not bluffing much if at all. Again, a strong player can easily exploit us if our river bets are always value bets and never bluffs by simply folding all medium strength bluff catchers to our bet. But our calling station friend won’t, they’ll just call, providing us much more value long term than the GTO value bet/bluff frequency would.

The study of GTO strategies isn’t for the beginning player. But once you have the basics down and as you advance your game, it becomes an integral part of a more advanced poker strategy.

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  • The most advanced solving algorithms for calculating Nash-equilibrium strategies in postflop heads-up games.
  • One of the fastest and accurate GTO solving algorithms available today

  • Internal analysis and graphing tools

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  • Navigate and edit your solutions with an easy-to-use visual interface

GTO+ is advanced Hold'em game theory analysis software, with one of the most intuitive interfaces available today. With GTO+, you can quickly build decision trees, fill in any play as you see fit, and let the GTO solver figure out optimal play in the rest of the tree. With GTO+, you can rely on mathematics to always know how to play in any postflop spot. GTO+ offers fast+accurate calculations and powerful internal analysis tools for exploring the solutions. GTO+ is completely self-contained, with no need to ever use any other software.

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GTO+ offers the ability to create entire databases of solved trees, as well as the ability to make comparisons between these trees. Due to the small savefile size per tree, the databases are easily managed.

Tree builder

GTO+ offers an advanced tree builder, with the ability to use multiple bet sizes. A user-friendly tree editor is offered to adapt your trees to your needs.

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GTO+ offers internal analysis tools, whereas other solvers require you to manually copy and paste solutions to external software.

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GTO+ offers a flexible graphing system that will let you plot any property versus any other property at any point in your solution.
Gto Game Theory

Converges to 0%

Where other solvers often don't fully converge, GTO+ will converge all the way down to a Nash distance of 0%.

Card Removal

GTO+ offers the ability to toggle the effects of card removal ON/OFF with as little as the click on a single button.

Recalc Lines

Gto Game Theory Optimal

The solution in turn/river runouts of the board can easily be edited and recalculated without needing to re-solve the entire tree.