GTO Fundamentals: Nash Equilibrium in Poker

Game Theory Optimal (GTO) poker is about playing an unexploitable strategy. Understanding GTO gives you a baseline from which to deviate intentionally.

What is GTO?

**Nash Equilibrium**: A strategy where no player can improve their EV by unilaterally changing their strategy

**Unexploitable**: A GTO strategy guarantees at least 0 EV against any opponent (ignoring rake)

**Baseline, not maximum**: GTO is your defensive strategy — maximally exploitative play earns more against weak opponents

Key GTO Concepts

**Minimum Defense Frequency (MDF)**: How often you must continue facing a bet so the opponent cannot profitably bluff with any two cards. Formula: MDF = Pot / (Pot + Bet).

**Alpha**: The bluff-to-value ratio that makes the opponent indifferent to calling. Alpha = Bet / (Pot + Bet).

**Indifference**: The core GTO principle — make opponents indifferent between actions so they cannot exploit you regardless of what they choose

Why Study GTO?

**Foundation for exploitation**: You cannot exploit what you do not understand

**Defense against strong players**: Against good regulars who balance well, you need GTO to survive

**Framework for analysis**: Use solver outputs to understand "correct" frequencies, then adapt

**Spot inefficiencies**: See where human play deviates from optimal and exploit those gaps

Limitations of GTO

Full GTO is computationally infeasible for NLHE — we use abstractions and approximations

GTO does not maximize win rate against weak players (by definition, it is defensive)

Multiway pots have no true Nash solution — solvers use simplifying assumptions

Rake and ICM considerations change what "optimal" means in practice

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