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Cycles with Undistinguished Actions and Extended Rock-Paper-Scissors Games

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Author Info

  • Eric Bahel
  • Hans Haller

Abstract

The 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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File URL: ftp://repec.econ.vt.edu/Papers/Bahel/GRPS-6.pdf
File Function: First version, 2012
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Bibliographic Info

Paper provided by Virginia Polytechnic Institute and State University, Department of Economics in its series Working Papers with number e07-34.

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Length: 48 pages
Date of creation: 2012
Date of revision:
Handle: RePEc:vpi:wpaper:e07-34

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Keywords: cycle; Nash equilibrium; minimax theorem.;

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  1. Eric Bahel, 2011. "Rock-Paper-Scissors and Cycle-Based Games," Working Papers e07-31, Virginia Polytechnic Institute and State University, Department of Economics.
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