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Related Experiment Videos

Coevolutionary games on networks.

Holger Ebel1, Stefan Bornholdt

  • 1Institut für Theoretische Physik, Universität Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany. ebel@theo-physik.uni-kiel.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
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Agents playing the iterated Prisoner's dilemma on a network reach stable Nash equilibria. Perturbations trigger scale-free mutation avalanches, transitioning dynamics from subcritical to critical states due to changes in cooperation.

Area of Science:

  • Complex systems
  • Game theory
  • Network science

Background:

  • The iterated Prisoner's dilemma is a fundamental model for studying cooperation and defection.
  • Understanding emergent behaviors in spatially extended evolutionary games is crucial.

Purpose of the Study:

  • To investigate the dynamics of agents playing the iterated Prisoner's dilemma on a network.
  • To analyze the nature of stationary states and the behavior of mutations after perturbations.

Main Methods:

  • Simulating a spatially extended coevolutionary game.
  • Identifying Nash equilibria as stationary states.
  • Analyzing avalanche distributions following perturbations.

Main Results:

Related Experiment Videos

  • Stationary states correspond to Nash equilibria.
  • Avalanches of mutations were observed to reestablish stationary states.
  • Scale-free avalanche distributions were found, consistent with theoretical models.
  • A transition from subcritical to critical avalanche dynamics was identified.

    • Conclusions:

    • The coevolutionary game exhibits predictable dynamics and scale-free behavior.
    • Avalanche dynamics are linked to the degeneracy of the cooperative macrostate.
    • Findings provide insights into evolutionary stability and emergent phenomena in complex systems.