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econ.prisoners-dilemma Calculator
Calculates Nash equilibrium payoffs in a classic Prisoner's Dilemma game matrix and shows why mutual defection dominates even though mutual cooperation yields higher joint payoffs. Game theory's central insight: individually rational choices can produce collectively irrational outcomes.
Inputs
Cooperate Both
Amount per unit of time or per unit quantity. Check the denominator before interpreting.
Defect Cooperate
Amount per unit of time or per unit quantity. Check the denominator before interpreting.
Cooperate Defect
Amount per unit of time or per unit quantity. Check the denominator before interpreting.
Defect Both
Reference formula or conversion factor shown for context.
Results
Nash equilibrium payoff
Sample size or count used in the calculation.
social optimum payoff
Reference formula or conversion factor shown for context.
social efficiency deficit
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.
dominant strategy
The value at the specified point or condition.
T>R>P>S required for PD
Reference formula or conversion factor shown for context.