// multi-utility computation suite · offline · instant · precise
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sci.Nash-prisoner-dilemma Calculator
Calculates Nash equilibrium strategies and payoffs for a Prisoner's Dilemma or 2×2 game matrix by finding mutual best responses. In the classic Prisoner's Dilemma, (Defect, Defect) is the unique Nash equilibrium even though (Cooperate, Cooperate) is Pareto-superior — the social dilemma arises from individual rationality conflicting with collective optimum.
Inputs
R Mutual Coop
Amount per unit of time or per unit quantity. Check the denominator before interpreting.
P Mutual Defect
Reference formula or conversion factor shown for context.
T Temptation
Reference formula or conversion factor shown for context.
S Sucker
Amount per unit of time or per unit quantity. Check the denominator before interpreting.
Results
payoff matrix check
A pass/fail verification against the applicable code, standard, or threshold.
Nash equilibrium
Sample size or count used in the calculation.
social optimum
Reference formula or conversion factor shown for context.
individual incentive
Sample size or count used in the calculation.
dilemma
Reference formula or conversion factor shown for context.