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A Class of Evolutionary Models for Participation Games with Negative Feedback

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  • Pietro Dindo

    ()

  • Jan Tuinstra

    ()

Abstract

We introduce a framework to analyze the interaction of boundedly rational heterogeneous agents repeatedly playing a participation game with negative feedback. We assume that agents use different behavioral rules prescribing how to play the game conditionally on the outcome of previous rounds. We update the fraction of the population using each rule by means of a general class of evolutionary dynamics based on imitation, which contains both replicator and logit dynamics. Our model is analyzed by a combination of formal analysis and numerical simulations and is able to replicate results from the experimental and computational literature on these types of games. In particular, irrespective of the specific evolutionary dynamics and of the exact behavioral rules used, the dynamics of the aggregate participation rate is consistent with the symmetric mixed strategy Nash equilibrium, whereas individual behavior clearly departs from it. Moreover, as the number of players increases the evolutionary dynamics typically becomes unstable and leads to endogenous fluctuations around the steady state. These fluctuations are robust with respect to behavioral rules that try to exploit them.
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Suggested Citation

  • Pietro Dindo & Jan Tuinstra, 2011. "A Class of Evolutionary Models for Participation Games with Negative Feedback," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 267-300, March.
  • Handle: RePEc:kap:compec:v:37:y:2011:i:3:p:267-300
    DOI: 10.1007/s10614-011-9253-3
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    2. Franke, Reiner, 2014. "Aggregate sentiment dynamics: A canonical modelling approach and its pleasant nonlinearities," Structural Change and Economic Dynamics, Elsevier, vol. 31(C), pages 64-72.
    3. Matros, Alexander, 2012. "Altruistic versus egoistic behavior in a Public Good game," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 642-656.
    4. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Side effects of nonlinear profit taxes in an evolutionary market entry model: Abrupt changes, coexisting attractors and hysteresis problems," Journal of Economic Behavior & Organization, Elsevier, vol. 135(C), pages 15-38.
    5. Dieci, Roberto & Schmitt, Noemi & Westerhoff, Frank H., 2018. "Interactions between stock, bond and housing markets," BERG Working Paper Series 133, Bamberg University, Bamberg Economic Research Group.
    6. Schmitt, Noemi & Tuinstra, Jan & Westerhoff, Frank, 2017. "Stability and welfare effects of profit taxes within an evolutionary market interaction model," BERG Working Paper Series 122, Bamberg University, Bamberg Economic Research Group.
    7. Blaurock, Ivonne & Schmitt, Noemi & Westerhoff, Frank, 2017. "Market entry waves and volatility outbursts in stock markets," BERG Working Paper Series 128, Bamberg University, Bamberg Economic Research Group.
    8. Lamantia, F. & Negriu, A. & Tuinstra, J., 2016. "Evolutionary Cournot competition with endogenous technology choice: (in)stability and optimal policy," CeNDEF Working Papers 16-08, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

    More about this item

    Keywords

    Participation games; Heterogeneous behavioral rules; Revision protocol; Replicator dynamics; Logit dynamics; Nonlinear dynamics; C72; C73;

    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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