Mathematical Game Theory Lab

Parameters

Payoff A: 5.0

Hawk fraction: 50%

Bidders: 5

Game Theory Explorer – Strategies, Nash Equilibrium

Mathematical game theory analyzes strategic interactions among rational agents—players who each choose actions to maximize their own payoff given what they expect others to do. This explorer lets you define payoff matrices for two-player games, find pure and mixed Nash equilibria, and run iterated simulations to observe whether players converge to equilibrium. Classic games like the Prisoner's Dilemma, Stag Hunt, and Hawk-Dove illustrate how individually rational choices can lead to collectively suboptimal outcomes.

What you can do in this simulation

Enter custom payoff matrices for any two-player game and solve for Nash equilibria
Simulate the Prisoner's Dilemma, Stag Hunt, and Chicken with configurable payoffs
Run iterated rounds with different strategy update rules and plot cooperation rates over time
Compute mixed-strategy Nash equilibria and visualize the probability simplex
Explore extensive-form games using a decision tree with backward induction solving

Concepts covered

game theory · Nash equilibrium · Prisoner's Dilemma · payoff matrix · mixed strategies · dominant strategy

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