Understanding cooperative behavior in structurally disordered populations
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AbstractThe 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 F-C generally shows a non-monotonic dependence on the fraction of occupied sites rho, 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 F-C = F-C(I) + F-C(II), with F-C(I) emphasizing the importance of the small clusters of players especially for rho << 1 and being treated exactly. A pair approximation for the contribution F-C(II) 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 F-C(rho) 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.
All Author(s) ListXu C, Zhang W, Du P, Choi CW, Hui PM
Journal nameEuropean Physical Journal B: Condensed Matter and Complex Systems
Volume Number89
Issue Number6
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesPhysics; Physics, Condensed Matter

Last updated on 2021-19-10 at 00:40