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Circulant Games

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  • Kern, Johannes
  • Granic, Dura-Georg

Abstract

This paper presents a class of finite n x n bimatrix (2-player) games we coin Circulant Games. In Circulant Games, each player's payoff matrix is a circulant matrix, i.e.\ each row vector is rotated one element relative to the preceding row vector. We show that when the payoffs in the first row of each payoff matrix are strictly ordered, a single parameter describing the rotation symmetry between the players' matrices fully determines the exact number and the structure of all Nash Equilibria in these games. The class of Circulant Games contains well-known games such as matching pennies, rock-scissors-paper, circulant coordination and common interest games.

Suggested Citation

  • Kern, Johannes & Granic, Dura-Georg, 2013. "Circulant Games," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80032, Verein für Socialpolitik / German Economic Association.
    • Handle: RePEc:zbw:vfsc13:80032
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    Cited by:

    1. Joseph Abdou & Nikolaos Pnevmatikos & Marco Scarsini, 2014. "Uniformity and games decomposition," Documents de travail du Centre d'Economie de la Sorbonne 14084r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Mar 2017.

    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D00 - Microeconomics - - General - - - General

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