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Evolutionary Drift And Equilibrium Selection

Author

Listed:
  • Ken Binmore
  • Larry Samuelson

Abstract

This paper develops an approach to equilibrium selection in game theory based on studying the learning process through which equilibrium is achieved. The differential equations derived frommodels of interactive learn-ing typically have stationary states that are not isolated. Instead, Nash equilibria that specify different out-of-equilibrium behavior appear in con-nected components of stationary states. The stability properties of these components can depend critically on the perturbations to which the system is subjected. We argue that it is then important to incorporate such drift into the model. A sufficient condition is provided for drift to create stationary states, with strong stability properties, near a component of equilibria. Applications to questions of forward and backward induction are developed.

Suggested Citation

  • Ken Binmore & Larry Samuelson, "undated". "Evolutionary Drift And Equilibrium Selection," ELSE working papers 049, ESRC Centre on Economics Learning and Social Evolution.
    • Handle: RePEc:els:esrcls:049
    as

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    More about this item

    Keywords

    Evolutionary Games; Cheap Talk; Stability; Drift;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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