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Generic 4 x 4 Two Person Games Have at Most 15 Nash Equilibria

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Author Info
McLennan, A
Park, I-U

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Abstract

The maximal generic number of Nash equilibria for two person games in which the two agents each have four pure strategies is shown to be 15. In contrast to Keiding (1995), who arrives at this result by computer enumeration, our argument is based on a collection of lemmas that constrain the set of equilibria. Several of these pertain to any common number d of pure strategies for the two agents.

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Publisher Info
Paper provided by Minnesota - Center for Economic Research in its series Papers with number 300.

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Length: 22 pages
Date of creation: 1997
Date of revision:
Handle: RePEc:fth:minner:300

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Keywords: ECONOMETRICS;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Philip V. Fellman & Jonathan Vos Post, 2007. "Quantum Nash Equilibria and Quantum Computing," Quantitative Finance Papers 0707.0324, arXiv.org. [Downloadable!]
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This page was last updated on 2009-11-20.


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