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Fluctuations around Nash equilibria in game theory

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  • Marsili, Matteo
  • Zhang, Yi-Cheng
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    Abstract

    We investigate the fluctuations induced by irrationality in simple games with a large number of competing players. We show that Nash equilibria in such games are “weakly” stable: irrationality propagates and amplifies through players' interactions so that huge fluctuations can result from a small amount of irrationality. In the presence of multiple Nash equilibria, our statistical approach allows to establish which is the globally stale equilibrium. However, characteristic times to reach this state can be very large.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 245 (1997)
    Issue (Month): 1 ()
    Pages: 181-188

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    Handle: RePEc:eee:phsmap:v:245:y:1997:i:1:p:181-188

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    Cited by:
    1. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.

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