Non-strict ordinal 2\(\times 2\) games: A comprehensive computer-assisted analysis of the 726 possibilities
type: Item
instance of: scholarly article
title: Non-strict ordinal 2\(\times 2\) games: A comprehensive computer-assisted analysis of the 726 possibilities
zbMATH Open document ID: 0586.90099
DOI: 10.1007/BF00135087
author: Niall M. Fraser
author: D. Marc Kilgour
published in: Theory and Decision
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 3941299
zbMATH Keywords: computer analysis
zbMATH Keywords: 2\(\times 2\) games
zbMATH Keywords: maximum, equilibrium and stability calculations
MaRDI profile type: Publication
cites work: Dynamic noncooperative game theory
cites work: Q3773737
cites work: Q5630793
cites work: Equilibria for far-sighted players
cites work: Q3221987
cites work: Non-cooperative games
cites work: Q5821521
description: scientific article; zbMATH DE number 3941299