Rock-Paper-Scissors and Cycle-Based Games
AbstractThe present work characterizes the unique Nash equilibrium for games that are based on a cyclic preference relation. In the Nash equilibrium of these games, each player randomizes between three specific actions. In particular, an alternative way of deriving the unique Nash equilibrium of the Rock-Paper-Scissors game is proposed.
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Bibliographic InfoPaper provided by Virginia Polytechnic Institute and State University, Department of Economics in its series Working Papers with number e07-31.
Length: 8 pages
Date of creation: 2011
Date of revision:
cycle; Nash equilibrium; prudent strategy;
Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-14 (All new papers)
- NEP-GTH-2012-03-14 (Game Theory)
- NEP-HPE-2012-03-14 (History & Philosophy of Economics)
- NEP-MIC-2012-03-14 (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.
- A. van den Nouweland, 2007. "Rock-Paper-Scissors; A New and Elegant Proof," Department of Economics - Working Papers Series, The University of Melbourne 1003, The University of Melbourne.
- repec:ebl:ecbull:v:3:y:2007:i:43:p:1-6 is not listed on IDEAS
- Eric Bahel & Christian Trudeau, 2012. "Consistency Requirements and Pattern Methods in Cost Sharing Problems with Technological Cooperation," Working Papers, Virginia Polytechnic Institute and State University, Department of Economics e07-34, Virginia Polytechnic Institute and State University, Department of Economics.
- Bahel, Eric & Haller, Hans, 2013. "Cycles with undistinguished actions and extended Rock–Paper–Scissors games," Economics Letters, Elsevier, Elsevier, vol. 120(3), pages 588-591.
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