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Opportunistic migration in spatial evolutionary games.

Pierre Buesser1, Marco Tomassini, Alberto Antonioni

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Summary
This summary is machine-generated.

Cooperation can evolve in spatial evolutionary games with migration, especially in Stag Hunt games. However, the Prisoner's Dilemma requires specific conditions, like random imitation, for cooperation to emerge and persist.

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Area of Science:

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

Background:

  • Spatial evolutionary games explore cooperation dynamics in structured populations.
  • Agent interactions and movement strategies influence emergent cooperative behaviors.

Purpose of the Study:

  • To investigate the evolution and stability of cooperation in spatial evolutionary games with local interactions and migration.
  • To determine the impact of different strategy update rules (imitation of the best vs. Fermi protocol) and game parameters (migration radius, interaction radius) on cooperation.

Main Methods:

  • Simulations of evolutionary games on a spatial diluted grid.
  • Implementation of the 'imitation of the best' and Fermi strategy update rules.
  • Varying migration distances and game interaction radii.

Main Results:

  • Cooperation evolves and is stable in the Prisoner's Dilemma for small interaction radii and certain migration distances using 'imitation of the best'.
  • Stag Hunt games become fully cooperative under these conditions.
  • Cooperation fails to evolve in Prisoner's Dilemma with the Fermi protocol and high selection intensity, but emerges with random imitation.
  • Few trials are needed for cooperation to evolve, indicating low searching costs.

Conclusions:

  • Spatial structure and migration can facilitate cooperation, but the specific game and update rule are critical.
  • Opportunistic migration and imitation-based learning are key drivers for cooperation in certain scenarios.
  • Randomness in strategy updates can promote widespread cooperation across various game types and spatial configurations.