Game Theory Analysis
This calculator helps analyze strategic interactions between rational decision-makers using various game theory concepts:
Non-Zero-Sum Games: Nash Equilibrium, Dominant Strategies
Prisoner's Dilemma: Classic game analysis
Battle of the Sexes: Coordination game analysis
Game Type
Select the type of game you want to analyze:
Zero-Sum Game Analysis
Analyze a two-player zero-sum game where one player's gain is the other's loss.
Zero-Sum Game Results
Non-Zero-Sum Game Analysis
Analyze a two-player non-zero-sum game where players' payoffs are not directly opposed.
Non-Zero-Sum Game Results
Prisoner's Dilemma Analysis
Analyze the classic Prisoner's Dilemma game with customizable payoffs.
Prisoner's Dilemma Results
Battle of the Sexes Analysis
Analyze the coordination game where players want to cooperate but prefer different outcomes.
Battle of the Sexes Results
Game Theory Concepts
Zero-Sum Games
Pure Strategy: When players choose one strategy with certainty.
Mixed Strategy: When players randomize over possible strategies.
Saddle Point: When the maximin equals the minimax (pure strategy equilibrium).
Non-Zero-Sum Games
Nash Equilibrium: Strategy profile where no player can benefit by unilaterally changing strategy.
Dominant Strategy: Strategy that is best regardless of opponents' choices.
Pareto Optimality: Outcome where no player can improve without making another worse off.
Classic Games
Prisoner's Dilemma: Shows why rational individuals might not cooperate.
Battle of the Sexes: Coordination game with multiple equilibria.
Chicken Game: Shows brinkmanship and conflict escalation.