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On (un)knots and dynamics in games

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  • Demichelis, Stefano
  • Germano, Fabrizio

Abstract

We extend Kohlberg and Mertens' (1986) structure theorem concerning the Nash equilibrium correspondence to show that its graph is not only homomorphic to the underlying space of games but that it is also unknotted. This is then shown to have some basic consequences for dynamics whose rest points are Nash equilibria.
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  • Demichelis, Stefano & Germano, Fabrizio, 2002. "On (un)knots and dynamics in games," Games and Economic Behavior, Elsevier, vol. 41(1), pages 46-60, October.
    • Handle: RePEc:eee:gamebe:v:41:y:2002:i:1:p:46-60
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    3. DE MICHELIS, Stefano, 2000. "On the index and asymptotic stability of dynamics," LIDAM Discussion Papers CORE 2000018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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