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Math & Odds

Nash Equilibrium

In game theory, Nash Equilibrium is a state where no player can improve their expected outcome by changing their strategy while all other players keep theirs unchanged. In poker, this means a strategy where deviating from the prescribed play in any spot would make you worse off against an optimal opponent. GTO strategy aims to find this equilibrium.

Example

In rock-paper-scissors, playing each option exactly 1/3 of the time is a Nash Equilibrium — no deviation can improve your results.

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