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Undecidability of the existence of pure Nash equilibria

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  • N. Sofronidis

Abstract

The purpose of this paper is to show that for any positive integer n, there exists no algorithm which decides for each non-cooperative n-person game in strategic form with partially computable payoff functions whether it has a pure Nash equilibrium or not. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • N. Sofronidis, 2004. "Undecidability of the existence of pure Nash equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 423-428, January.
    • Handle: RePEc:spr:joecth:v:23:y:2004:i:2:p:423-428
    DOI: 10.1007/s00199-003-0394-z
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    Cited by:

    1. Prasad, Kislaya, 2009. "The rationality/computability trade-off in finite games," Journal of Economic Behavior & Organization, Elsevier, vol. 69(1), pages 17-26, January.
    2. Louis Anthony Cox, 2020. "Answerable and Unanswerable Questions in Risk Analysis with Open‐World Novelty," Risk Analysis, John Wiley & Sons, vol. 40(S1), pages 2144-2177, November.

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