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Naïve imitation and partial cooperation in a local public goods model

Author

Listed:
  • Herings, P. Jean-Jacques

    (RS: GSBE Theme Data-Driven Decision-Making, RS: GSBE Theme Conflict & Cooperation, Microeconomics & Public Economics)

  • Peeters, Ronald
  • Tenev, Anastas

    (RS: GSBE Theme Conflict & Cooperation, Microeconomics & Public Economics)

  • Thuijsman, Frank

    (DKE Scientific staff, RS: FSE DKE NSO)

Abstract

In a local interaction model agents situated on a circle play bilateral prisoners’ dilemmas with their immediate neighbors and have three possible strategies: cooperate in all interactions (altruistic), defect in all interactions (egoistic), or cooperate with one immediate neighbor with probability 1=2 (partial cooperation). After each period the agents adopt the strategy with the highest average payoff in their observed local neighborhood (naïve imitation). The absorbing states of the process are outlined and analysed. There does not exist an absorbing state in which the partially cooperative strategy coexists with any of the other strategies. The partially cooperative strategy limits the diffusion of altruistic behavior in the population. Even though clustering of altruists is generally beneficial for sustaining altruism, relatively big groups of altruists at the onset actually enable the spread of the partially cooperative strategy.

Suggested Citation

  • Herings, P. Jean-Jacques & Peeters, Ronald & Tenev, Anastas & Thuijsman, Frank, 2019. "Naïve imitation and partial cooperation in a local public goods model," Research Memorandum 013, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2019013
    DOI: 10.26481/umagsb.2019013
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    References listed on IDEAS

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    Cited by:

    1. Herings, P.J.J. & Peeters, Ronald & Tenev, Anastas P., 2023. "Directed Reciprocity Subverts Altruism in Highly Adaptive Populations," Other publications TiSEM c547bbf9-1e82-44ce-94aa-f, Tilburg University, School of Economics and Management.

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    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • 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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