The Bimatrix Game

A bimatrix game is a mathematical model used to analyze situations where two players make choices simultaneously, each with multiple options. It uses two matrices to represent the players' payoffs—how much benefit each gets from different strategy combinations. By examining these matrices, we can identify strategies where neither player can improve their outcome by changing their choice alone, known as equilibrium points. Bimatrix games are commonly used in economics, political science, and biology to understand strategic interactions and predict likely outcomes when two parties compete or cooperate.