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Similarity-based cooperation and spatial segregation.

Arne Traulsen1, Jens Christian Claussen

  • 1Institut für Theoretische Physik und Astrophysik, Christian-Albrechts Universität, Olshausenstrasse 40, 24098 Kiel, Germany. traulsen@theo-physik.uni-kiel.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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This study explores spatial cooperative games based on player similarity, revealing strong segregation. Introducing tolerance mechanisms leads to spiral waves and complex behaviors, with potential stabilization of cooperation.

Area of Science:

  • Game Theory
  • Statistical Physics
  • Computational Social Science

Background:

  • Cooperative games typically model behavior based on past interactions.
  • Previous work analyzed this similarity-based game using a mean-field approach.
  • This study extends the analysis to a spatial, two-dimensional lattice model.

Purpose of the Study:

  • To investigate the spatial dynamics of a cooperative game driven by player similarity.
  • To explore the effects of introducing local conversion mechanisms and asymmetric cooperation costs.
  • To analyze the stability of cooperative states in a segregated system.

Main Methods:

  • Spatial simulation on a two-dimensional lattice with Moore neighborhood interactions.
  • Analysis of system behavior under varying parameters, including cooperation costs.

Related Experiment Videos

  • Investigation of a local conversion mechanism promoting tolerance.
  • Study of a forecast rule and linear feedback for stabilizing cooperative fixed points.

    • Main Results:

    • The system exhibits strong, parameter-independent segregation.
    • A tolerance mechanism induces four-state cycles and spiral wave patterns.
    • Asymmetric cooperation costs lead to diverse complex behaviors.
    • A cooperative fixed point is stabilized by feedback, especially across segregation borders.

    Conclusions:

    • Spatial structure significantly influences similarity-based cooperative games, leading to segregation.
    • Tolerance mechanisms can introduce dynamic patterns and complex emergent behaviors.
    • Cooperation can be stabilized in segregated environments through specific mechanisms.