Structural heterogeneity mediates the effect of community structure on cooperation

Authors

  • Fengjie Xie,

    Corresponding author
    1. Department of Information Management, School of Management Engineering, Xi'an University of Posts and Telecommunications, Xi'an 710061, China
    2. Department of Management Science, School of Management, Xi'an Jiaotong University, Xi'an 710049, China
    • School of Management Engineering, Xi'an University of Posts and Telecommunications, Xi'an 710061, China
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  • Wentian Cui,

    1. Department of Management Science, School of Management, Xi'an Jiaotong University, Xi'an 710049, China
    2. The Key Lab of the Ministry of Education for Process Control and Efficiency Engineering, Xi'an 710049, China
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  • Jun Lin

    1. Department of Management Science, School of Management, Xi'an Jiaotong University, Xi'an 710049, China
    2. The Key Lab of the Ministry of Education for Process Control and Efficiency Engineering, Xi'an 710049, China
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Abstract

Emergence of cooperation in evolutionary prisoner's dilemma game strongly depends on the topology of underlying interaction network. We explore this dependence using community networks with different levels of structural heterogeneity, which are generated by a tunable upper-bound on the total number of links that any vertex can have. We study the effect of community structure on cooperation by analyzing a finite population analogue of the evolutionary replicator dynamics. We find that structural heterogeneity mediates the effect of community structure on cooperation. In the community networks with low level of structural heterogeneity, community structure has negative effect on cooperation. However, the positive effect of community structure on cooperation appears and enhances with increasing structural heterogeneity. Our work may be helpful for understanding the complexity of cooperative behaviors in social networks. © 2011 Wiley Periodicals, Inc. Complexity, 2012

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