Understanding cooperative behavior in structurally disordered populations

Regular Article

Abstract

The effects of an inhomogeneous competing environment on the extent of cooperation are studied within the context of a site-diluted evolutionary snowdrift game on a square lattice, with the occupied sites representing the players, both numerically and analytically. The frequency of cooperation ℱC generally shows a non-monotonic dependence on the fraction of occupied sites ρ, for different values of the payoff parameter r. Slightly diluting a lattice leads to a lower cooperation for small and high values of r. For a range of r, however, dilution leads to an enhanced cooperation. An analytic treatment is developed for ℱCI + ℱCII, with ℱCI emphasizing the importance of the small clusters of players especially for ℱCII from the other players is shown to be inadequate. A local configuration approximation (LCA) that treats the local competing configurations as the variables and amounts to include spatial correlation up to the neighborhood of a player’s neighbors is developed. Results of ℱC (ρ) and the number of different local configurations from LCA are in good agreement with simulation results. A transparent physical picture of the dynamics stemming from LCA is also presented. The theoretical approach provides a framework that can be readily applied to competing agent-based models in structurally ordered and disordered populations.

Keywords

Statistical and Nonlinear Physics 

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.College of Physics, Optoelectronics and Energy, Soochow UniversitySuzhouP.R. China
  2. 2.Department of Electronics and Communication EngineeringSuzhou Institute of Industrial TechnologySuzhouP.R. China
  3. 3.Department of PhysicsThe Chinese University of Hong KongHong Kong SARP.R. China

Personalised recommendations