2-Player Normal Form Game Analyser

A browser-based tool for constructing and analysing 2-player normal-form (matrix) games.
The application allows users to define strategies and payoffs, then automatically computes:

• Pure Nash equilibria
• Pareto-optimal outcomes
• Outcome-level dominance relationships

The tool runs entirely in the browser with no external dependencies.

How to Run

1. Download or clone the project files.
2. Open index.html in any modern web browser (Chrome, Firefox, Edge).
3. No installation, server, or build process is required.

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How to Use

1. Player Setup

• Player 1 controls the columns.
• Player 2 controls the rows.
• Player names can be customised using the input fields at the top.

2. Strategy Selection

• Choose the number of strategies for each player:
  • Rows → Player 2 strategies
  • Columns → Player 1 strategies
• Click Build Matrix to generate the payoff table.

3. Enter Payoffs

• Each cell contains two payoff inputs:
  • u1: Player 1 payoff
  • u2: Player 2 payoff
• All values must be numeric.

4. Compute Results

• Click Compute (or press Enter inside a payoff cell).
• Results are highlighted directly in the matrix and listed below.

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Output Explanation

Pure Nash Equilibria

• Outcomes where both players are playing best responses to each other.
• Highlighted in green.

Pareto-Optimal Outcomes

• Outcomes that cannot be improved for one player without harming the other.
• Highlighted in blue.

Nash & Pareto

• Outcomes that are both Nash equilibria and Pareto-optimal.
• Highlighted in yellow.

Invalid Cells

• Cells with missing or non-numeric payoffs.
• Highlighted in red and excluded from calculations.

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Features

• Dark theme for readability
• Colour-coded payoffs per player
• Visual highlighting of equilibrium concepts
• Responsive layout for smaller screens

⚠Limitations

• Supports pure strategies only (no mixed strategies).
• Maximum matrix size: 50 × 50.
• Intended for educational and demonstration purposes.