Payoff Matrix – Definition & Examples

Definition: A table showing the payoffs to each player for every possible combination of strategies in a game.

Detailed Explanation

Payoff matrices display games in normal form. Rows represent one player's strategies, columns represent the other's. Each cell shows both players' payoffs. By analyzing the matrix, we can find dominant strategies and Nash equilibria. Larger games with many strategies have complex matrices.

Real-World Example

A 2x2 matrix might show profits for two firms choosing 'low price' or 'high price.' If both choose high price, each earns $5 million. If both go low, each earns $2 million. If one goes low while the other stays high, the low-price firm gets $7 million.

AP Economics Relevance

Reading and analyzing payoff matrices is essential for game theory on AP Micro. You'll identify equilibria from matrix entries.

Category: Game Theory

How this guide is built

EconArena pairs each definition with exam relevance, a real-world example, a quick diagnostic, and related games or tools so students can move from reading the concept to practicing it.

Practice with interactive economics games

How to Remember It

A table showing the payoffs to each player for every possible combination of strategies in a game. A useful definition should do more than name the concept. Try to describe Payoff Matrix – Definition & Examples in your own words, give one real-world example, and name one situation where confusing it with a related term would lead to the wrong answer. That habit is especially helpful for AP, IB, and introductory college economics.

Where It Shows Up

This term can appear in graphs, multiple-choice questions, short-answer explanations, and everyday economic news. Use the linked practice pages and games to see how the idea behaves when assumptions change, incentives shift, or a policy choice affects consumers, firms, workers, or governments.