Evolution of Cooperation on Spatial Network with Limited Resource.

Yang Wang,Binghong Wang,Zhi-Xi Wu

doi:10.1371/journal.pone.0136295

Abstract

Considering the external resource offered by environment is limited, here, we will explore the cooperation on spatial networks with limited resource. The individual distributes the limited resource according to the payoffs acquired in games, and one with resource amounts is lower than critical survival resource level will be replaced by the offspring of its neighbors. We find that, for larger temptation to defect, the number of the dead decreases with the resource amount. However the cooperation behavior is interesting, the lower total resource and intermediate temptation to defect can greatly promote the cooperation on square lattice. Our result reveals that the limited resource contributes most to the cooperation.

Highlights

IntroductionThe social dilemma games have been widely investigated [1,2,3]. The most typical model is the prisoner’s dilemma game(PDG) [4,5,6,7,8,9]
In the past decades, the social dilemma games have been widely investigated [1,2,3]
Cooperation can spread in the structured population by forming the clusters to resist the invasion of defection

Summary

Introduction

The social dilemma games have been widely investigated [1,2,3]. The most typical model is the prisoner’s dilemma game(PDG) [4,5,6,7,8,9]. Various mechanisms and factors which can affect the cooperation on networks have been investigated, including inhomogeneous activity [16, 17], kin selection [10, 18], migration [19,20,21], social diversity [22,23,24], reputation [25], memory [26], payoff sharing [27], punishment [28,29,30,31] and reward [32, 33] Another evolution model is Moran process on networks [34, 35], it contains two updating rules: Birth-Death Update and Death-Birth Update, respectively. The complete cooperator and defector are rare, and more realistic fact is the strategy of the individual is continuous Base on these considerations, we introduce a limited resource Death-Birth Update model into spatial games.

Results

Discussion