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Collective phenomena in spatially extended evolutionary games

A V Herz1

  • 1Physics of Computation Laboratory, California Institute of Technology, Pasadena 91125.

Journal of Theoretical Biology
|July 7, 1994
PubMed
Summary

Simple evolutionary games exhibit complex spatio-temporal dynamics. Local rules lead to emergent behaviors, with fitness landscapes causing phenomena like trapping and long relaxation times in these spatial games.

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Area of Science:

  • Complex Systems Science
  • Evolutionary Game Theory
  • Computational Social Science

Background:

  • Evolutionary games model strategy evolution.
  • Spatially extended games explore local interactions.
  • Understanding emergent phenomena is key.

Purpose of the Study:

  • Introduce a class of spatially extended evolutionary games.
  • Analyze emergent properties using local and global methods.
  • Characterize complex spatio-temporal behaviors.

Main Methods:

  • Heuristic local analysis to classify game behaviors.
  • Exact global techniques for fitness landscape analysis.
  • Numerical simulations to observe emergent phenomena.

Main Results:

  • Local analysis identifies distinct game behavior classes.
  • Complex spatio-temporal phenomena emerge from simple rules.
  • Fitness landscapes exhibit ruggedness, leading to trapping and long relaxation times.

Conclusions:

  • Simple spatial evolutionary games can generate complex dynamics.
  • Emergent properties resemble natural evolutionary processes.
  • Findings suggest broader applicability in more complex models.

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