Evolution of cooperation under N-person snowdrift games

JOURNAL OF THEORETICAL BIOLOGY

卷:260

Article

Souza, Max O.³  Pacheco, Jorge M.^4,5,6  Santos, Francisco C.^1,2,6 

[1] Univ Libre Bruxelles, MLG, Brussels, Belgium

[2] Univ Libre Bruxelles, IRIDIA CoDE, Brussels, Belgium

[3] Univ Fed Fluminense, Dept Matemat Aplicada, BR-24020140 Niteroi, RJ, Brazil

[4] ATP Grp CFTC, P-1649003 Lisbon, Portugal

[5] Fac Ciencias Lisboa, Dept Fis, P-1649003 Lisbon, Portugal

[6] GADGET, P-1009001 Lisbon, Portugal

关键词: Evolutionary dynamic;    Evolutionary game theory;    Cooperation;    Public goods;    Coexistence;   

DOI  :  10.1016/j.jtbi.2009.07.010

来源: Elsevier

【 摘 要 】

In the animal world, performing a given task which is beneficial to an entire group requires the cooperation of several individuals of that group who often share the workload required to perform the task. The mathematical frame work to study the dynamics of collective action is game theory. Here we study the evolutionary dynamics of cooperators and defectors in a population in which groups of individuals engage in N-person, non-excludable public goods games. We explore an N-person generalization of the well-known two-person snowdrift game. We discuss both the case of infinite and finite populations, taking explicitly into consideration the possible existence of a threshold above which collective action is materialized. Whereas in infinite populations, an N-person snowdrift game (NSG) leads to a stable coexistence between cooperators and defectors, the introduction of a threshold leads to the appearance of a new interior fixed point associated with a coordination threshold. The fingerprints of the stable and unstable interior fixed points still affect the evolutionary dynamics infinite populations, despite evolution leading the population inexorably to a monomorphic end-state. However, when the group size and population size become comparable, we find that spite sets in, rendering cooperation unfeasible. (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

Free