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Cooperation through Imitation and Exclusion in Networks

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  • Mengel, Friederike
  • Fosco, Constanza

Abstract

We develop a simple model to study the coevolution of interaction structures and action choices in prisoners' dilemma games. Agents are boundedly rational and choose both actions and interaction partners via payoff-biased imitation. The dynamics of imitation and exclusion yields polymorphic outcomes under a wide range of parameters. Whenever agents hold some information beyond their interaction neighbors defectors and cooperators always coexist in disconnected components. Otherwise polymorphic networks can emerge with a center of cooperators and a periphery of defectors. Any stochastically stable state has at most two disconnected components. Simulations confirm our analytical results and show that the share of cooperators increases with the speed at which the network evolves, increases with the radius of interaction and decreases with the radius of information.

Suggested Citation

  • Mengel, Friederike & Fosco, Constanza, 2007. "Cooperation through Imitation and Exclusion in Networks," MPRA Paper 5258, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:5258
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    More about this item

    Keywords

    Game Theory; Cooperation; Imitation Learning; Network Formation;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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