GTO for the GOAT Feel Player
🧠The Nash Shoving Range
The True Battle: You vs. the Game
Nash's Beautiful Mind
Master Game Theory Optimal poker through interactive learning
Welcome to Your GTO Poker Journey
You're about to embark on a comprehensive learning experience that will transform your understanding of Game Theory Optimal poker strategy. Each marker represents a crucial concept that builds upon the previous one.
Complete interactive lessons, answer knowledge checks, and practice applying each concept before moving to the next level.
Heads-Up Poker Example: All-In or Fold
Imagine two players in a heads-up match, and one of them has a short stack with only a few big blinds left. The short-stacked player (the jammer) must decide whether to go all-in or fold with any given hand. The other player (the caller) must decide whether to call the all-in or fold.
The Nash Equilibrium Strategy
- The jammer should shove all-in with a mathematically optimal range of hands—meaning they don’t shove every time, but instead with a certain percentage of hands.
- The caller should call with a corresponding optimal range of hands based on pot odds and expected value.
At Nash Equilibrium, neither player can improve their result by deviating—so if both use their optimal ranges, they play perfectly against each other. The result? Over time, no player is at a strategic disadvantage.
Practical Example
Say Player A is the jammer with 10 big blinds and moves all-in from the small blind. Player B, the caller, has a larger stack and must decide whether to call from the big blind.
Nash Equilibrium suggests that Player A should shove all-in with hands like:
- Any pocket pair
- A2+, K5+, Q7+, J8+, etc.
Player B should call the all-in with:
- Strong pocket pairs
- A9+, KQ, and similar hands.
If either player deviates—like the short stack shoving too often or the big stack calling too loose—they give up expected value over time.
Real-World Application
Many poker solvers and pros use Nash Equilibrium to optimize short-stack strategy and heads-up play. But it’s also useful in ICM (Independent Chip Model) situations, like tournaments, where survival is as crucial as chip accumulation.