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Agents with Heterogeneous Strategies Interacting in a Spatial IPD

In: Nonlinear Dynamics and Heterogeneous Interacting Agents

Author

Listed:
  • Frank Schweitzer

    (Schloss Birlinghoven
    Humboldt University Berlin)

  • Robert Mach

    (Schloss Birlinghoven
    Cologne University)

  • Heinz Mühlenbein

    (Schloss Birlinghoven)

Abstract

Summary We use a spatial iterated Prisoner's Dilemma game (IPD) to investigate the spatial-temporal evolution of heterogeneity in agents' strategies. In our model, N agents are spatially distributed on a lattice and each agent is assumed to interact with her 4 local neighbors a number of n g times during each generation. If the agent has a one-step memory for the last action of each individual neighbor, this results in a total of eight different strategies for the game. After each generation, the agent will be replaced by an offspring that adopts the strategy of her most successful neighbor. The agents are heterogeneous in that they play different strategies dependent on (i) their past experience, (ii) their local neighborhood. The spatial-temporal distribution of these strategies is investigated by means of computer simulations on a cellular automaton. In particular, we study the incluence of n g on the dynamics of the global frequencies of the different strategies and the conditions for a stationary (frozen) or non-stationary (dynamic) coexistence of particular strategies on a spatial scale.

Suggested Citation

  • Frank Schweitzer & Robert Mach & Heinz Mühlenbein, 2005. "Agents with Heterogeneous Strategies Interacting in a Spatial IPD," Lecture Notes in Economics and Mathematical Systems, in: Thomas Lux & Eleni Samanidou & Stefan Reitz (ed.), Nonlinear Dynamics and Heterogeneous Interacting Agents, pages 87-102, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-27296-0_7
    DOI: 10.1007/3-540-27296-8_7
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    Citations

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    Cited by:

    1. Frank Schweitzer & Luca Verginer & Giacomo Vaccario, 2020. "Should The Government Reward Cooperation? Insights From An Agent-Based Model Of Wealth Redistribution," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 23(07), pages 1-19, November.
    2. Gulyás, László, 2007. "Cooperation in networked populations of selfish adaptive agents: Sensitivity to network structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(1), pages 110-117.

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