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Self-organization of punishment in structured populations

2012/03/31 by Matjaž Perc, Attila Szolnoki · 8 citations
Medicine · Psychology · Social Sciences · #Evolutionary Game Theory and Cooperation #Evolutionary Psychology and Human Behavior #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.1088/1367-2630/14/4/043013

openalex publication_date 2012/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

Cooperation is crucial for the remarkable evolutionary success of the human species. Not surprisingly, some individuals are willing to bear additional costs in order to punish defectors. Current models assume that, once set, the fine and cost of punishment do not change over time. Here we show that relaxing this assumption by allowing players to adapt their sanctioning efforts in dependence on the success of cooperation can explain both the spontaneous emergence of punishment and its ability to deter defectors and those unwilling to punish them with globally negligible investments. By means of phase diagrams and the analysis of emerging spatial patterns, we demonstrate that adaptive punishment promotes public cooperation through the invigoration of spatial reciprocity, the prevention of the emergence of cyclic dominance, or the provision of competitive advantages to those that sanction antisocial behavior. The results presented indicate that the process of self-organization significantly elevates the effectiveness of punishment, and they reveal new mechanisms by means of which this fascinating and widespread social behavior could have evolved.

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