Cargando…

Local stability of cooperation in a continuous model of indirect reciprocity

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 r...

Descripción completa

Detalles Bibliográficos
Autores principales: Lee, Sanghun, Murase, Yohsuke, Baek, Seung Ki
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8270921/
https://www.ncbi.nlm.nih.gov/pubmed/34244552
http://dx.doi.org/10.1038/s41598-021-93598-7
_version_ 1783720896333086720
author Lee, Sanghun
Murase, Yohsuke
Baek, Seung Ki
author_facet Lee, Sanghun
Murase, Yohsuke
Baek, Seung Ki
author_sort Lee, Sanghun
collection PubMed
description 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.
format Online
Article
Text
id pubmed-8270921
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-82709212021-07-12 Local stability of cooperation in a continuous model of indirect reciprocity Lee, Sanghun Murase, Yohsuke Baek, Seung Ki Sci Rep Article 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. Nature Publishing Group UK 2021-07-09 /pmc/articles/PMC8270921/ /pubmed/34244552 http://dx.doi.org/10.1038/s41598-021-93598-7 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Lee, Sanghun
Murase, Yohsuke
Baek, Seung Ki
Local stability of cooperation in a continuous model of indirect reciprocity
title Local stability of cooperation in a continuous model of indirect reciprocity
title_full Local stability of cooperation in a continuous model of indirect reciprocity
title_fullStr Local stability of cooperation in a continuous model of indirect reciprocity
title_full_unstemmed Local stability of cooperation in a continuous model of indirect reciprocity
title_short Local stability of cooperation in a continuous model of indirect reciprocity
title_sort local stability of cooperation in a continuous model of indirect reciprocity
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8270921/
https://www.ncbi.nlm.nih.gov/pubmed/34244552
http://dx.doi.org/10.1038/s41598-021-93598-7
work_keys_str_mv AT leesanghun localstabilityofcooperationinacontinuousmodelofindirectreciprocity
AT muraseyohsuke localstabilityofcooperationinacontinuousmodelofindirectreciprocity
AT baekseungki localstabilityofcooperationinacontinuousmodelofindirectreciprocity