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Selection of noise level in strategy adoption for spatial social dilemmas

Attila Szolnoki1, Jeromos Vukov2, and György Szabó1

  • 1Research Institute for Technical Physics and Materials Science, P.O. Box 49, H-1525 Budapest, Hungary
  • 2ATP-Group, CFTC, and Departamento de Física, Universidade de Lisboa, P-1649-003 Lisboa Codex, Portugal

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Phys. Rev. E 80, 056112 – Published 23 November, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.056112

Abstract

We studied spatial Prisoner’s Dilemma and Stag Hunt games where both the strategy distribution and the players’ individual noise level could evolve to reach higher individual payoff. Players are located on the sites of different two-dimensional lattices and gain their payoff from games with their neighbors by choosing unconditional cooperation or defection. The way of strategy adoption can be characterized by a single K (temperaturelike) parameter describing how strongly adoptions depend on the payoff difference. If we start the system from a random strategy distribution with many different player specific K parameters, the simultaneous evolution of strategies and K parameters drives the system to a final stationary state where only one K value remains. In the coexistence phase of cooperator and defector strategies the surviving K parameter is in good agreement with the noise level that ensures the highest cooperation level if uniform K is supposed for all players. In this paper we give a thorough overview about the properties of this evolutionary process.

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Phys. Rev. E 80, 056112– Published 23 November, 2009
  • Received 22 July 2009

© 2009 American Physical Society

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