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Equilibria analysis in social dilemma games with Skinnerian agents

Author

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  • Ugo Merlone

    ()

  • Daren Sandbank
  • Ferenc Szidarovszky

    ()

Abstract

Different disciplines have analyzed binary choices to model collective behavior in human systems. Several situations in which social dilemma arise can be modeled as N-person prisoner’s dilemma games including homeland security, public goods, international political economy among others. The purpose of this study is to develop an analytical solution to the N-person prisoner’s dilemma game when boundedly rational agents interact in a population. Previous studies in the literature consider the case in which cooperators and defectors have the same learning factors. We obtain an analytical equation to find equilibria in the N-person prisoner’s dilemma game in the general case when agents have different learning factors. We also introduce a more realistic approach where probability values are bounded between zero and one and therefore eliminates the possibility of infeasible probability values. Since no analytic solution can be derived in this case, agent based simulation is used to analyze the asymptotic behavior of the resulted dynamical system. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Ugo Merlone & Daren Sandbank & Ferenc Szidarovszky, 2013. "Equilibria analysis in social dilemma games with Skinnerian agents," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 12(2), pages 219-233, November.
    • Handle: RePEc:spr:minsoc:v:12:y:2013:i:2:p:219-233
    DOI: 10.1007/s11299-013-0116-6
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    References listed on IDEAS

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    1. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
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    5. Gardini, Laura & Merlone, Ugo & Tramontana, Fabio, 2011. "Inertia in binary choices: Continuity breaking and big-bang bifurcation points," Journal of Economic Behavior & Organization, Elsevier, vol. 80(1), pages 153-167.
    6. Dal Forno, Arianna & Merlone, Ugo, 2013. "Border-collision bifurcations in a model of Braess paradox," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 87(C), pages 1-18.
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    Cited by:

    1. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2014. "Spatial interactions in agent-based modeling," Papers 1405.0733, arXiv.org.
    2. repec:wsi:igtrxx:v:14:y:2012:i:03:n:s0219198912500156 is not listed on IDEAS

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