ArticleScientific reports2022
Social norms in indirect reciprocity with ternary reputations.
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 9 papers.
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Who cites it
9 citing papers in PubMed.
- Incomplete reputation information and punishment in indirect reciprocity.Scientific reports · 2026Article
- Exact conditions for evolutionary stability in indirect reciprocity under noise.PLoS computational biology · 2025Article
- Ecology and the evolution of cooperation by partner choice and reciprocity.Scientific reports · 2025Article
- Article
- 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
- Co-evolution of conditional cooperation and social norm.Scientific reports · 2023Article
- Indirect reciprocity with stochastic and dual reputation updates.PLoS computational biology · 2023Article
- Reputation structure in indirect reciprocity under noisy and private assessment.Scientific reports · 2022Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
Indirect reciprocity is a key mechanism that promotes cooperation in social dilemmas by means of reputation. Although it has been a common practice to represent reputations by binary values, either 'good' or 'bad', such a dichotomy is a crude approximation considering the complexity of reality. In this work, we studied norms with three different reputations, i.e., 'good', 'neutral', and 'bad'. Through massive supercomputing for handling more than thirty billion possibilities, we fully identified which norms achieve cooperation and possess evolutionary stability against behavioural mutants. By systematically categorizing all these norms according to their behaviours, we found similarities and dissimilarities to their binary-reputation counterpart, the leading eight. We obtained four rules that should be satisfied by the successful norms, and the behaviour of the leading eight can be understood as a special case of these rules. A couple of norms that show counter-intuitive behaviours are also presented. We believe the findings are also useful for designing successful norms with more general reputation systems.
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Registered trials
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