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An Evolutionary Analysis of Bagwell's Example

Author

Listed:
  • Jorg Oechssler

    (Humboldt University, Berlin)

  • Karl Schlag

    (University of Bonn)

Abstract

In a recent paper Bagwell (1995) pointed out that only the Cournot outcome, but not the Stackelberg outcome, can be supported by a pure Nash equilibrium when actions of the Stackelberg leader are observed with the slightest error. The Stackelberg outcome, however, remains close to the outcome of a mixed equilibrium. We compare the predictions in various classes of evolutionary and learning processes in this game. Only the continuous best response dynamic uniquely selects the Stackelberg outcome under noise. All other dynamics analyzed allow for the Cournot equilibrium to be selected. In typical cases Cournot is the unique long run outcome even for vanishing noise in the signal.

Suggested Citation

  • Jorg Oechssler & Karl Schlag, 1997. "An Evolutionary Analysis of Bagwell's Example," Game Theory and Information 9704001, University Library of Munich, Germany, revised 11 Apr 1997.
    • Handle: RePEc:wpa:wuwpga:9704001
    Note: Pages: 19
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Morgan, John & Vardy, Felix, 2007. "The value of commitment in contests and tournaments when observation is costly," Games and Economic Behavior, Elsevier, vol. 60(2), pages 326-338, August.
    2. repec:ebl:ecbull:v:3:y:2008:i:74:p:1-8 is not listed on IDEAS
    3. Bhaskar, V, 2005. "Commitment and Observability in an Economic Environment," Economics Discussion Papers 8887, University of Essex, Department of Economics.
    4. Guth, Werner & Muller, Wieland & Spiegel, Yossi, 2006. "Noisy leadership: An experimental approach," Games and Economic Behavior, Elsevier, vol. 57(1), pages 37-62, October.
    5. Giovanni Ponti, 2000. "Splitting The Baby In Two: How To Solve Solomon'S Dilemma When Agents Are Boundedly Rational," Working Papers. Serie AD 2000-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Lagerlof, Johan, 2003. "Policy-Motivated Candidates, Noisy Platforms, and Non-robustness," Public Choice, Springer, vol. 114(3-4), pages 319-347, March.

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    More about this item

    Keywords

    imperfectly observable commitment; evolution; imitation; learning; equilibrium selection;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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