On Some Geometry and Equivalence Classes of Normal Form Games

UPF Economics and Business Working Paper No. 669

30 Pages Posted: 28 Aug 2003

See all articles by Fabrizio Germano

Fabrizio Germano

Universitat Pompeu Fabra - Department of Economics and Business

Date Written: March 2003

Abstract

Equivalence classes of normal form games are defined using the geometry of correspondences of standard equilibiurm 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. It is argued that the procedure can lead to broad and game - theoretically meaningful distinctions of games as well as to alternative ways of viewing and testing equilibrium concepts. Larger games are also briefly considered.

Keywords: Non-cooperative games, classification and equivalence classes, experimental games, geometry of games

JEL Classification: C70, C72, C78, C90, C91

Suggested Citation

Germano, Fabrizio, On Some Geometry and Equivalence Classes of Normal Form Games (March 2003). UPF Economics and Business Working Paper No. 669, Available at SSRN: https://ssrn.com/abstract=428161 or http://dx.doi.org/10.2139/ssrn.428161

Fabrizio Germano (Contact Author)

Universitat Pompeu Fabra - Department of Economics and Business ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain
+34-93-542-2729 (Phone)
+34-93-542-1746 (Fax)

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