Attila Szolnoki (Author), Matjaž Perc (Author)

Abstract

Economic experiments reveal that humans value cooperation and fairness. Punishing unfair behavioris therefore common, and according to the theory of strong reciprocity, it is also directly related to rewarding cooperative behavior. However, empirical data fail to confirm that positive and negative reciprocity are correlated. Inspired by this disagreement, we determine whether the combined application of reward and punishment is evolutionarily advantageous. We study a spatial public goods game, where in addition to the three elementary strategies of defection, rewarding, and punishment, a fourth strategy that combines the latter two competes for space. We find rich dynamical behavior that gives rise to intricate phase diagrams where continuous and discontinuous phase transitions occur in succession. Indirect territorial competition, spontaneous emergence of cyclic dominance, as well as divergent fluctuations of oscillations that terminate in an absorbing phase are observed. Yet, despite the high complexity of solutions, the combined strategy can survive only in very narrow and unrealistic parameter regions. Elementary strategies, either in pure or mixed phases, are much more common and likely to prevail. Our results highlight the importance of patterns and structure in human cooperation, which should be considered in future experiments.

Keywords

javne dobrine;kazen;nagrada;evolucijske igre;kolektivni pojav;fazni prehodi;fizika socioloških sistemov;public goods;punishment;reward;evolutionary games;collective phenomena;phase transitions;physics of social systems;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
UDC: 53
COBISS: 20216584 Link will open in a new window
ISSN: 2160-3308
Views: 1180
Downloads: 352
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Other data

Secondary language: Slovenian
Secondary keywords: javne dobrine;kazen;nagrada;evolucijske igre;kolektivni pojav;fazni prehodi;fizika socioloških sistemov;
URN: URN:SI:UM:
Type (COBISS): Article
Pages: str. 041021-1-041021-11
Volume: ǂVol. ǂ3
Issue: ǂiss. ǂ4
Chronology: 2013
DOI: 10.1103/PhysRevX.3.041021
ID: 10851685