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Random diffusion and cooperation in continuous two-dimensional space.

Alberto Antonioni1, Marco Tomassini1, Pierre Buesser1

  • 1Information Systems Department, Faculty of Business and Economics, University of Lausanne, Switzerland.

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|December 10, 2013
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Summary
This summary is machine-generated.

Cooperation can evolve in spatial games with random movement if agents imitate successful neighbors. However, under viscosity effects, stable clusters form but cooperation does not spread effectively.

Keywords:
Evolution of cooperationMobilityRandom diffusionSpatial games

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Area of Science:

  • Evolutionary Game Theory
  • Computational Social Science
  • Agent-Based Modeling

Background:

  • Understanding the evolution of cooperation is a fundamental challenge in social and biological systems.
  • Spatial structure and agent mobility can significantly influence the dynamics of strategic interactions.

Purpose of the Study:

  • To investigate the conditions under which cooperation can emerge and be maintained in spatial population games with mobile agents.
  • To analyze the impact of different mobility and strategy update rules on cooperation dynamics.

Main Methods:

  • Simulations of two-person, one-shot games (Prisoner's Dilemma, Hawk-Dove, Stag Hunt) in 2D Euclidean space.
  • Incorporation of agent random mobility with varying velocity rules (constant and viscosity-dependent).
  • Analysis of strategy update mechanisms, including imitation of successful neighbors and fitness-proportional updates.

Main Results:

  • Cooperation evolves and stabilizes when agents have constant velocity and imitate successful neighbors.
  • Fitness-proportional updates do not enhance cooperation compared to static scenarios.
  • Viscosity effects lead to stable, monomorphic clusters of cooperators or defectors, but hinder cooperation spread.

Conclusions:

  • Agent mobility and local interaction rules are critical for the evolution of cooperation.
  • Imitation dynamics coupled with constant mobility promote cooperation.
  • Viscosity-dependent mobility can lead to segregation but not widespread cooperation.