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Cooperation in an Adaptive Network

Author

Listed:
  • M. G. Zimmermann

    (Instituto Mediterráneo de Estudios Avanzados IMEDEA(CSIC-UIB), E07071 Palma de Mallorca, Spain)

  • V. M. Eguíluz

    (Instituto Mediterráneo de Estudios Avanzados IMEDEA(CSIC-UIB), E07071 Palma de Mallorca, Spain)

  • M. San Miguel

    (Instituto Mediterráneo de Estudios Avanzados IMEDEA(CSIC-UIB), E07071 Palma de Mallorca, Spain)

  • A. Spadaro

    (Department of Economics and Business, Universitat de les Illes Balears, E07071 Palma de Mallorca, Spain)

Abstract

We study the dynamics of a set of agents distributed in the nodes of an adaptive network. Each agent plays with all its neighbors a weak prisoner's dilemma collecting a total payoff. We study the case where the network adapts locally depending on the total payoff of the agents. In the parameter regime considered, a steady state is always reached (strategies and network configuration remain stationary), where co-operation is highly enhanced. However, when the adaptability of the network and the incentive for defection are high enough, we show that a slight perturbation of the steady state induces large oscillations (with cascades) in behavior between the nearly all-defectors state and the all-cooperators outcome.

Suggested Citation

  • M. G. Zimmermann & V. M. Eguíluz & M. San Miguel & A. Spadaro, 2000. "Cooperation in an Adaptive Network," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 3(01n04), pages 283-297.
    • Handle: RePEc:wsi:acsxxx:v:03:y:2000:i:01n04:n:s0219525900000212
    DOI: 10.1142/S0219525900000212
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    Citations

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    Cited by:

    1. Li, Shulan & Hong, Lijun & Geng, Yini & Shen, Chen, 2020. "Popularity-driven fitness calculation promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Anne-Ly Do & Lars Rudolf & Thilo Gross, 2012. "Coordination, Differentiation and Fairness in a Population of Cooperating Agents," Games, MDPI, vol. 3(1), pages 1-11, March.

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