EconPapers    
Economics at your fingertips  
 

Pure Strategy Equilibria in Symmetric Two-Player Zero-Sum Games

Burkhard Schipper (), Peter Duersch and Jörg Oechssler
Authors registered in the RePEc Author Service: Peter Dürsch

No 240, Working Papers from University of California, Davis, Department of Economics

Abstract: We observe that a symmetric two-player zero-sum game has a pure strategy equilibrium if and only if it is not a generalized rock-paper-scissors matrix. Moreover, we show that every finite symmetric quasiconcave two-player zero-sum game has a pure equilibrium. Further sufficient conditions for existence are provided. Our findings extend to general two-player zero-sum games using the symmetrization of zero-sum games due to von Neumann. We point out that the class of symmetric two-player zero-sum games coincides with the class of relative payoff games associated with symmetric two-player games. This allows us to derive results on the existence of finite population evolutionary stable strategies.

Keywords: Symmetric two-player games; zero-sum games; Rock-Paper-Scissors; single-peakedness; quasiconcavity; finite population evolutionary stable strategy; saddle point; exact potential games (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Date: 2010-11-22
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Downloads: (external link)
http://repec.dss.ucdavis.edu/files/1ZhsfygifgcV1pZ9qnyos7ie/10-21.pdf (application/pdf)

Related works:
Journal Article: Pure strategy equilibria in symmetric two-player zero-sum games (2012) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cda:wpaper:240

Access Statistics for this paper

More papers in Working Papers from University of California, Davis, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by DSS IT Service Center ().

 
Page updated 2019-10-12
Handle: RePEc:cda:wpaper:240