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A Bound on the Number of Nash Equilibria in a Coordination Game

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Author Info
Thomas Quint (Cowles Foundation, Yale University)
Martin Shubik () (Cowles Foundation, Yale University)

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Abstract

We prove that a "nondegenerate" m x m coordination game can have at most 2^{M} - 1 Nash equilibria, where M = min(m,n).

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File URL: http://cowles.econ.yale.edu/P/cd/d10b/d1095.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1095.

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Length: 8 pages
Date of creation: Feb 1995
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Handle: RePEc:cwl:cwldpp:1095

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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References listed on IDEAS
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  1. Thomas Quint & Martin Shubik, 1994. "On the Number of Nash Equilibria in a Bimatrix Game," Cowles Foundation Discussion Papers 1089, Cowles Foundation, Yale University. [Downloadable!]
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Cited by:
(explanations, 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.)

  1. Ravi Kannan & Thorsten Theobald, 2010. "Games of fixed rank: a hierarchy of bimatrix games," Economic Theory, Springer, vol. 42(1), pages 157-173, January. [Downloadable!] (restricted)
  2. Thomas Quint & Martin Shubik, 1994. "On the Number of Nash Equilibria in a Bimatrix Game," Cowles Foundation Discussion Papers 1089, Cowles Foundation, Yale University. [Downloadable!]
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