# Nash Equilibrium Visualizer

Interactive exploration of strategic equilibrium in game theory

> Canonical page: https://elysiatools.com/en/visualizations/nash-equilibrium

- **Category:** Math

## Overview

Comprehensive interactive visualization of Nash equilibrium concepts in game theory. Explore classic games: Prisoner's Dilemma (unique Nash equilibrium), Coordination Game (multiple equilibria), Hawk-Dove Game (mixed strategies), and custom games. Features editable payoff matrices with best response analysis (arrows, color coding), interactive best response dynamics visualization on canvas, mixed strategy analyzer with probability sliders and real-time expected payoff graphs, automated Nash equilibrium finder (pure and mixed strategies for 2x2 games), and extensive educational content including formal mathematical definition uᵢ(sᵢ*, s₋ᵢ*) ≥ uᵢ(sᵢ, s₋ᵢ*), best response concept, Nash existence theorem, real-world applications (economics, biology, politics, computer science), and limitations discussion. Discover why Nash equilibria are stable and how to find them through interactive exploration

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