Cooperation in changing environments: Irreversibility in the transition to cooperation in complex networks

Carlos Gracia-Lázaro, Luis M. Floría, Jesús Gómez-Gardeñes and Yamir Moreno

Chaos, Solitons & Fractals, 2013, vol. 56, issue C, 188-193

Abstract: In the framework of the evolutionary dynamics of the Prisoner’s Dilemma game on complex networks, we investigate the possibility that the average level of cooperation shows hysteresis under quasi-static variations of a model parameter (the “temptation to defect”). Under the “discrete replicator” strategy updating rule, for both Erdös–Rényi and Barabási–Albert graphs we observe cooperation hysteresis cycles provided one reaches tipping point values of the parameter; otherwise, perfect reversibility is obtained. The selective fixation of cooperation at certain nodes and its organization in cooperator clusters, that are surrounded by fluctuating strategists, allows the rationalization of the “lagging behind” behavior observed.

Date: 2013
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:56:y:2013:i:c:p:188-193

DOI: 10.1016/j.chaos.2013.08.008

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