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Perturbed best response dynamics in a hawk-dove game

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  • Benndorf, Volker
  • Martinez-Martinez, Ismael

Abstract

We examine the impact of behavioral noise on equilibrium selection in a hawk-dove game with a model that linearly interpolates between the one- and two-population structures in an evolutionary context. Perturbed best response dynamics generates two hypotheses in addition to the bifurcation predicted by standard replicator dynamics. First, when replicator dynamics suggests mixing behavior (close to the one-population model), there will be a bias against hawkish play. Second, polarizing behavior as predicted by replicator dynamics in the vicinity of the two-population model will be less extreme in the presence of behavioral noise. We find both e.ects in our data set.

Suggested Citation

  • Benndorf, Volker & Martinez-Martinez, Ismael, 2017. "Perturbed best response dynamics in a hawk-dove game," DICE Discussion Papers 243, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  • Handle: RePEc:zbw:dicedp:243
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    Cited by:

    1. Stephenson, Daniel, 2019. "Coordination and evolutionary dynamics: When are evolutionary models reliable?," Games and Economic Behavior, Elsevier, vol. 113(C), pages 381-395.
    2. Zhao, Shuchen, 2021. "Taking turns in continuous time," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 257-279.
    3. Benndorf, Volker & Martínez-Martínez, Ismael & Normann, Hans-Theo, 2021. "Games with coupled populations: An experiment in continuous time," Journal of Economic Theory, Elsevier, vol. 195(C).
    4. Céline Bonnet & Jan Philip Schain, 2020. "An Empirical Analysis Of Mergers: Efficiency Gains And Impact On Consumer Prices," Journal of Competition Law and Economics, Oxford University Press, vol. 16(1), pages 1-35.

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    More about this item

    Keywords

    evolutionary game theory; perturbed best response dynamics; experiment in continuous time; hawk-dove game;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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