Non-strict ordinal 2\(\times 2\) games: A comprehensive computer-assisted analysis of the 726 possibilities (Q1072460)

Game theory has provided many tools for the study of social conflict. The \(2\times 2\) game has been found to be a particularly useful model. This paper describes the enumeration and analysis of all 726 distinct \(2\times 2\) games. A computer is used to generate the complete set, and a wide variety of maximum, equilibrium and stability calculations is performed for each player for every outcome in every game. The resulting data set is of great value for both the modeling and analysis of social conflict.