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Conditional dissociation as a punishment mechanism in the evolution of cooperation

Xinglong Qu, Changli Zhou, Zhigang Cao and Xiaoguang Yang

Physica A: Statistical Mechanics and its Applications, 2016, vol. 449, issue C, 215-223

Abstract: Recent studies show that conditional dissociation, a.k.a. post-interaction partner-refusal, can promote the emergence and stability of cooperation. However, in most of these studies, players’ strategies are restricted to pure ones, which is obviously inconsistent with many biological and economic situations. Another concern with line of these studies is that conditional dissociation is often combined with other mechanisms. These mechanisms may favor cooperation per se, leaving it unclear whether conditional dissociation is indeed a key factor. In this paper, we study a clean model, pruning all the factors other than conditional dissociation that may favor cooperation. We find that conditional dissociation, which could be viewed as a variant of peer punishment, does promote cooperation, no matter whether mixed strategies are allowed or not. This confirms the previous findings in the literature. In addition, compared with the pure strategy scenario, cooperators are less competitive when mixed strategies are allowed. Our main finding is supported by both the numerical simulations and the theoretical analysis of Neutrally Stable Strategy. We also find that cooperative behavior is favored when waiting time and/or the population’s lifespan are longer.

Keywords: Prisoner’s dilemma; Conditional dissociation; Neutral stable strategy; Mixed strategies (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:449:y:2016:i:c:p:215-223

DOI: 10.1016/j.physa.2015.12.128

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