Cycles with Undistinguished Actions and Extended Rock-Paper-Scissors Games
AbstractThe present paper examines zero-sum games that are based on a cyclic preference relation defined over anonymous actions. For each of these games, the set of Nash equilibria is characterized. When the number of actions is odd, a unique Nash equilibrium is always obtained. On the other hand, in the case of an even number of actions, every such game exhibits an infinite number of Nash equilibria. As a special case, a proof of the uniqueness of the Nash equilibrium for the Rock-Paper-Scissors game obtains.
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Bibliographic InfoPaper provided by Virginia Polytechnic Institute and State University, Department of Economics in its series Working Papers with number e07-34.
Length: 48 pages
Date of creation: 2012
Date of revision:
cycle; Nash equilibrium; minimax theorem.;
Other versions of this item:
- Bahel, Eric & Haller, Hans, 2013. "Cycles with undistinguished actions and extended Rock–Paper–Scissors games," Economics Letters, Elsevier, vol. 120(3), pages 588-591.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-28 (All new papers)
- NEP-GTH-2012-03-28 (Game Theory)
- NEP-MIC-2012-03-28 (Microeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Anne van den Nouweland, 2007. "Rock-paper-scissors a new and elegant proof," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-6.
- repec:ebl:ecbull:v:3:y:2007:i:43:p:1-6 is not listed on IDEAS
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"Pure strategy equilibria in symmetric two-player zero-sum games,"
International Journal of Game Theory,
Springer, vol. 41(3), pages 553-564, August.
- Peter Duersch & Joerg Oechssler & Burkhard Schipper, 2010. "Pure Strategy Equilibria in Symmetric Two-Player Zero-Sum Games," Working Papers 1021, University of California, Davis, Department of Economics.
- A. van den Nouweland, 2007. "Rock-Paper-Scissors; A New and Elegant Proof," Department of Economics - Working Papers Series 1003, The University of Melbourne.
- Bahel, Eric, 2012.
"Rock–paper–scissors and cycle-based games,"
Elsevier, vol. 115(3), pages 401-403.
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