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The prisoner’s dilemma on co-evolving networks under perfect rationality

2005/04/30 by Christoly Biely, Klaus Dragosits, Stefan Thurner · 2 citations
Physics and Astronomy · Social Sciences · #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #Opinion Dynamics and Social Influence #physics.soc-ph

paper · pdf · doi:10.1016/j.physd.2007.02.004

published as Physica D 228 (2007), pp 40-48 · 19 pages, 9 figures

arxiv created 2006/11/13 · openalex publication_date 2007/02/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider the prisoner's dilemma being played repeatedly on a dynamic network, where agents may choose their actions as well as their co-players. This leads to co-evolution of network structure and strategy patterns of the players. Individual decisions are made fully rationally and are based on local information only. They are made such that links to defecting agents are resolved and that cooperating agents build up new links. The exact form of the updating scheme is motivated by profit maximization and not by imitation. If players update their decisions in a synchronized way the system exhibits oscillatory dynamics: Periods of growing cooperation (and total linkage) alternate with periods of increasing defection. The cyclical behavior is reduced and the system stabilizes at significant total cooperation levels when players are less synchronized. In this regime we find emergent network structures resembling 'complex' and hierarchical topology. The exponent of the power-law degree distribution (γ∼8.6) perfectly matches empirical results of human communication networks.

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