Scandinavian Working Papers in Economics

Discussion Papers of Business and Economics,
University of Southern Denmark, Department of Business and Economics

No 7/2017: Generic Finiteness of Equilibrium Distributions for Bimatrix Outcome Game Forms

Cristian Litan (), Francisco Marhuenda () and Peter Sudhölter ()
Additional contact information
Cristian Litan: Universitatea Banes-Bolyai, Cluj-Napoca, Postal: Romania
Francisco Marhuenda: University Carlos II of Madrid, Postal: Spain
Peter Sudhölter: Department of Business and Economics, Postal: University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

Abstract: We provide sufficient and necessary conditions for the generic finiteness of the number of distributions on outcomes, induced by the completely mixed Nash equilibria associated to a bimatrix outcome game form. These equivalent conditions are stated in terms of the ranks of two matrices constructed from the original game form.

Keywords: Outcome game form; Completely mixed Nash equilibrium; Generic finiteness

JEL-codes: C72

10 pages, May 17, 2017

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