Local stability of cooperation in a continuous model of indirect reciprocity
Autor: | Yohsuke Murase, Seung Ki Baek, Sanghun Lee |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
0301 basic medicine
media_common.quotation_subject Science Stability (learning theory) Article Microeconomics Continuous variable 03 medical and health sciences 0302 clinical medicine Complete information Economics Humans Computer Simulation Sensitivity (control systems) Cooperative Behavior Quantitative Biology - Populations and Evolution media_common Social evolution Multidisciplinary Continuous modelling Populations and Evolution (q-bio.PE) Applied mathematics Noise 030104 developmental biology FOS: Biological sciences Donation Medicine 030217 neurology & neurosurgery Reputation |
Zdroj: | Scientific Reports, Vol 11, Iss 1, Pp 1-13 (2021) Scientific Reports |
ISSN: | 2045-2322 |
Popis: | Reputation is a powerful mechanism to enforce cooperation among unrelated individuals through indirect reciprocity, but it suffers from disagreement originating from private assessment, noise, and incomplete information. In this work, we investigate stability of cooperation in the donation game by regarding each player's reputation and behaviour as continuous variables. Through perturbative calculation, we derive a condition that a social norm should satisfy to give penalties to its close variants, provided that everyone initially cooperates with a good reputation, and this result is supported by numerical simulation. A crucial factor of the condition is whether a well-reputed player's donation to an ill-reputed co-player is appreciated by other members of the society, and the condition can be reduced to a threshold for the benefit-cost ratio of cooperation which depends on the reputational sensitivity to a donor's behaviour as well as on the behavioural sensitivity to a recipient's reputation. Our continuum formulation suggests how indirect reciprocity can work beyond the dichotomy between good and bad even in the presence of inhomogeneity, noise, and incomplete information. 13 pages, 3 figures |
Databáze: | OpenAIRE |
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