Game Theory Payoff Calculator
Analyze a 2x2 payoff matrix to find dominant strategies, Nash equilibria (pure and mixed), minimax values, and Pareto optimality.
Inputs
Results
P1 Dominant (0=None,1=Up,2=Down)
2
P2 Dominant (0=None,1=Left,2=Right)
2
Pure Nash Equilibria1
Nash P1 Payoff1
Nash P2 Payoff1
Mixed Strategy P1 (prob Up)-1
Mixed Strategy P2 (prob Left)-1
Minimax Value P11
Minimax Value P21
Pareto Optimal Outcomes3
How to Use This Calculator
- Enter the payoff matrix values for Player 1 and Player 2 for each strategy combination.
- Set the number of strategies available to each player.
- Review the dominant strategies for each player if they exist.
- Check for Nash equilibria where neither player benefits from unilaterally changing strategy.
- Use the minimax values to guide strategy selection in adversarial scenarios.
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