// multi-utility computation suite · offline · instant · precise
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math.nash-mixed-strategy Calculator
Finds the mixed-strategy Nash equilibrium in a 2×2 game by solving the indifference condition for each player. In mixed-strategy equilibrium, each player randomises so that the opponent is indifferent — the equilibrium probability depends only on the opponent's payoffs.
Inputs
Payoff A11
Reference formula or conversion factor shown for context.
Payoff A12
Reference formula or conversion factor shown for context.
Payoff A21
Reference formula or conversion factor shown for context.
Payoff A22
Reference formula or conversion factor shown for context.
Results
player 1 mixed strategy p
The value at the specified point or condition.
player 2 mixed strategy q
The value at the specified point or condition.
expected value at Nash equilibrium
The computed numeric or monetary value.
p = (a22-a21)/((a11-a12)-(a21-a22))
Reference formula or conversion factor shown for context.