Scandinavian Working Papers in Economics

Discussion Papers on Economics,
University of Southern Denmark, Department of Economics

No 17/2014: Determinacy of Equilibrium in Outcome Game Forms

Cristian Litan (), Francisco Marhuenda () and Peter Sudhölter ()
Additional contact information
Cristian Litan: Department of Statistics, Forecasting, Mathematics, Postal: Faculty of Economics and Business Administration, Babes-Bolyai University, Cluj Napoca, Romania
Francisco Marhuenda: Department of Economics, Postal: University Carlos III og Madrid, Calle Madrid 126, 28903-Getafe (Madrid), Spain
Peter Sudhölter: Department of Business and Economics, Postal: University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

Abstract: We show the generic finiteness of the number of probability distributions on outcomes induced by Nash equilibria for two-person game forms such that either (i) one of the players has no more than two strategies or (ii) both of the players have three strategies, and (iii) for outcome game forms with three players, each with at most two strategies. Finally, we exhibit an example of a game form with three outcomes and three players for which the Nash equilibria of the associated game induce a continuum of payoffs for an open non-empty set of utility profiles.

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

JEL-codes: C72

9 pages, November 5, 2014

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