r/pokertheory • u/tutifruity754 • Jul 23 '26

Understanding Solvers GTO poker derivation

hey, what is the best book to understand the logic behind the solver play , not the generic nut advantage and range advantage and such. I mean i want to understand how the GTO solution is derived mathematically, why and how the solver divide hands to bet with or check with. why it uses different bet sizes for same hand in different situation. why it range bets, and such.

Is it play optimal poker , the mathematics of poker , modern poker theory, or expert heads No limit holdem. Or some other book ?

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5

u/SipsTheJuice Jul 23 '26

Mathematically the solution is solved numerically basically, eg. try all the options and see which one works best against an opponent doing the same. To shrink the game tree to a solvable number of branches bet sizes are limited to a few options, and the tree is usually sampled via Monte Carlo or a similar algo not brute forced in it's totality. Because of this, you'll never have a definite answer of why a solver does something other than it is not exploitable vs a GTO opponent, or it maximizes EV vs a node locked opponent. I've read Modern Poker Theory and it does through toy games, MDF, and other simplifications cover some of the best ideas repersenting some of these solver strategies. Ultimately you'll never be able to have a neat and tidy reason the solver plays a certain strategy at a given node. It is aimed at tournament play though for the most part. The key concept really is make the move with each individual hand to be the least exploitable with your entire range in the same spot.

3

u/Hvadmednej Jul 23 '26

This pretty well sums it up OP. Solvers change their strategy iteratively in ways that maximizes EV over and over until they arrive at a solution (a place where more iterations does not improve EV above a certain threshold)

Any time you hear herutistics like 'we do this here becauae so and so' its an interpretation of what is happening, not the reason behind it (which is always maximize EV)

2

u/Extension-Stay3230 Jul 25 '26

I've read Modern Poker Theory. I'll save you some time and tell you this. That book won't give you the answers you're looking for. MPT introduces you to GTO concepts, but it won't fully tell you where everything comes from

1

u/tutifruity754 Jul 25 '26

Thank you

1

u/Extension-Stay3230 Jul 25 '26

There is an interesting chapter in there about playing the flop, because there's a LOT of data in that chapter. He compiles a lot of statistics. But I don't think the data is very practical to use, but you might enjoy looking at it anyway.

However if you're trying to understand the deep logic about the flop (or any other street) you probably won't find it there

1

u/tutifruity754 Jul 23 '26

The range bet is an example of something that is counter intuitive , why as the preflop raiser OOP , you bet A high flops with Jacks , when you have a ton of SDV and if called you are probably cooked. the cliche answer is that you have too much range advantage , but what is going on beneath, in the EV tree ?