Data on the existence ratio and social utility of Nash equilibria and of the Perfectly Transparent Equilibrium

• Main Authors: Ghislain Fourny, Felipe Sulser
• Format: Article
• Language: English
• Published: Elsevier 2021-02-01
• Series: Data in Brief
• Subjects: Strategic games; Game theory; Nash equilibrium; Perfectly Transparent Equilibrium; Social utility; Existence
• Online Access: http://www.sciencedirect.com/science/article/pii/S2352340920315031

This dataset includes 204,350,000 games in normal form played by two agents that have the choice between three strategies each, as well as 100,000 games in normal form played by four agents that have the choice between three strategies each. The games are in general position, i.e., there are no ties between the outcomes for each of the agents. These are simple random samples with replacement from the associated populations of strategic games with ordinal semantics. Each game was obtained with random permutations of the payoffs. Their Nash Equilibria as well Perfectly Transparent Equilibria are pre-computed. The existence ratios of the Nash equilibrium, unique Nash equilibrium and Perfectly Transparent Equilibrium were computed from the first sample with two players, and the social utilities from the second sample with four players.