ArticleScientific reports2022
Reputation structure in indirect reciprocity under noisy and private assessment.
Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- How large language models judge and influence human cooperation.PNAS nexus · 2026Article
- Exact conditions for evolutionary stability in indirect reciprocity under noise.PLoS computational biology · 2025Article
- Indirect reciprocity under opinion synchronization.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Computational evolution of social norms in well-mixed and group-structured populations.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Norms prioritizing positive assessments are likely to maintain cooperation in private indirect reciprocity.Scientific reports · 2024Article
- Indirect reciprocity with stochastic and dual reputation updates.PLoS computational biology · 2023Article
- Evolutionary stability of cooperation in indirect reciprocity under noisy and private assessment.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
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2 authors.
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Abstract
Evaluation relationships are pivotal for maintaining a cooperative society. A formation of the evaluation relationships has been discussed in terms of indirect reciprocity, by modeling dynamics of good or bad reputations among individuals. Recently, a situation that individuals independently evaluate others with errors (i.e., noisy and private reputation) is considered, where the reputation structure (from what proportion of individuals in the population each receives good reputations, defined as goodness here) becomes complex, and thus has been studied mainly with numerical simulations. The present study gives a theoretical analysis of such complex reputation structure. We formulate the time change of goodness of individuals caused by updates of reputations among individuals. By considering a large population, we derive dynamics of the frequency distribution of goodnesses. An equilibrium state of the dynamics is approximated by a summation of Gaussian functions. We demonstrate that the theoretical solution well fits the numerical calculation. From the theoretical solution, we obtain a new interpretation of the complex reputation structure. This study provides a novel mathematical basis for cutting-edge studies on indirect reciprocity.
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