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On Derivation and Evolutionary Classification of Social Dilemma Games

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  • Tadeusz Płatkowski

    (University of Warsaw)

Abstract

We propose an axiomatic derivation and a classification of multiperson social dilemma games. For the two-person symmetric games, the axiomatization leads to three types of the social dilemmas only: the Prisoner’s Dilemma (PD) game, the Chicken (Snowdrift) game and the Stag Hunt game. The popular multiperson games, such as for example the N-person PD, the Public Goods, the Tragedy of the Commons, the Volunteer’s Dilemma and the Assurance game, are included in the proposed frame. For general social dilemma games with arbitrary payoffs, their simple classification is proposed, based on the number of stable equilibria of the corresponding replicator dynamics.

Suggested Citation

  • Tadeusz Płatkowski, 2017. "On Derivation and Evolutionary Classification of Social Dilemma Games," Dynamic Games and Applications, Springer, vol. 7(1), pages 67-75, March.
    • Handle: RePEc:spr:dyngam:v:7:y:2017:i:1:d:10.1007_s13235-015-0174-y
    DOI: 10.1007/s13235-015-0174-y
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    References listed on IDEAS

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    1. Ugo Merlone & Daren R. Sandbank & Ferenc Szidarovszky, 2012. "Systematic Approach Ton-Person Social Dilemma Games: Classification And Analysis," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 14(03), pages 1-25.
    2. Wit, Arjaan P. & Wilke, Henk A. M., 1992. "The effect of social categorization on cooperation in three types of social dilemmas," Journal of Economic Psychology, Elsevier, vol. 13(1), pages 135-151, March.
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