On Some Geometry and Equivalence Classes of Normal Form Games

• Authors: Fabrizio Germano.
• BSE Working Paper: 112262 | September 15
• Keywords: Non-cooperative games , classification and equivalence classes , experimental games , geometry of games
• JEL codes: C71, D72, C78, C90, C91
• Non-cooperative games
• classification and equivalence classes
• experimental games
• geometry of games

Equivalence classes of normal form games are defined using the discontinuities of correspondences of standard equilibrium concepts like correlated, Nash, and robust equilibrium, or risk dominance and rationalizability. Resulting equivalence classes are fully characterized and compared across different equilibrium concepts for 2 x 2 games; larger games are also considered. It is argued that the procedure leads to broad and game-theoretically meaningful distinctions of games as well as to alternative ways of representing, comparing and testing equilibrium concepts.