Game Theory Calculator

Analyze zero-sum and non-zero-sum games with multiple solution concepts

Game Theory Analysis

This calculator helps analyze strategic interactions between rational decision-makers using various game theory concepts:

Zero-Sum Games: Pure/Mixed Strategies, Saddle Point, Minimax
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
Non-Zero-Sum Game
Prisoner's Dilemma
Battle of the Sexes

Zero-Sum Game Analysis

Analyze a two-player zero-sum game where one player's gain is the other's loss.

A \ B

Zero-Sum Game Results

Non-Zero-Sum Game Analysis

Analyze a two-player non-zero-sum game where players' payoffs are not directly opposed.

Player A's Payoffs

A \ B

Player B's Payoffs

A \ B

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.