Tolerant integrated reciprocity sustains cooperation in a noisy environment

Abstract Human cooperation relies on both direct and indirect reciprocity. While these mechanisms are often treated as separate, real-world decision-making frequently involves integrating the two. However, the existing literature has paid limited attention to the contextual factors and mechanisms su...

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Main Authors: Hitoshi Yamamoto, Isamu Okada, Takahisa Suzuki
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-14538-3
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author Hitoshi Yamamoto
Isamu Okada
Takahisa Suzuki
author_facet Hitoshi Yamamoto
Isamu Okada
Takahisa Suzuki
author_sort Hitoshi Yamamoto
collection DOAJ
description Abstract Human cooperation relies on both direct and indirect reciprocity. While these mechanisms are often treated as separate, real-world decision-making frequently involves integrating the two. However, the existing literature has paid limited attention to the contextual factors and mechanisms supporting the coexistence of direct and indirect reciprocity. This study proposes and analyses a model of integrated reciprocity that combines personal experiences with reputational information. Using agent-based simulations, we systematically and comprehensively evaluate social norms and demonstrate that tolerant integrated reciprocity, which incorporates a partner’s past behaviour and reputation, can sustain cooperation more robustly than strategies based solely on direct or indirect reciprocity. In particular, the combination of tolerant integrated reciprocity with the “Standing” norm maintains high cooperation levels even in noisy environments characterised by assessment and implementation errors. These findings suggest that tolerance and using multiple information sources provide an adaptive advantage in sustaining cooperation.
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issn 2045-2322
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spelling doaj-art-dc7d35cbcbd5446898771ecbb9f6eaf22025-08-20T03:42:31ZengNature PortfolioScientific Reports2045-23222025-08-011511810.1038/s41598-025-14538-3Tolerant integrated reciprocity sustains cooperation in a noisy environmentHitoshi Yamamoto0Isamu Okada1Takahisa Suzuki2Department of Business Administration, Rissho UniversityDepartment of Business Administration, Soka UniversityCollege of Policy Studies, Tsuda UniversityAbstract Human cooperation relies on both direct and indirect reciprocity. While these mechanisms are often treated as separate, real-world decision-making frequently involves integrating the two. However, the existing literature has paid limited attention to the contextual factors and mechanisms supporting the coexistence of direct and indirect reciprocity. This study proposes and analyses a model of integrated reciprocity that combines personal experiences with reputational information. Using agent-based simulations, we systematically and comprehensively evaluate social norms and demonstrate that tolerant integrated reciprocity, which incorporates a partner’s past behaviour and reputation, can sustain cooperation more robustly than strategies based solely on direct or indirect reciprocity. In particular, the combination of tolerant integrated reciprocity with the “Standing” norm maintains high cooperation levels even in noisy environments characterised by assessment and implementation errors. These findings suggest that tolerance and using multiple information sources provide an adaptive advantage in sustaining cooperation.https://doi.org/10.1038/s41598-025-14538-3Evolution of cooperationIndirect reciprocityDirect reciprocitySocial normAgent-based simulation
spellingShingle Hitoshi Yamamoto
Isamu Okada
Takahisa Suzuki
Tolerant integrated reciprocity sustains cooperation in a noisy environment
Scientific Reports
Evolution of cooperation
Indirect reciprocity
Direct reciprocity
Social norm
Agent-based simulation
title Tolerant integrated reciprocity sustains cooperation in a noisy environment
title_full Tolerant integrated reciprocity sustains cooperation in a noisy environment
title_fullStr Tolerant integrated reciprocity sustains cooperation in a noisy environment
title_full_unstemmed Tolerant integrated reciprocity sustains cooperation in a noisy environment
title_short Tolerant integrated reciprocity sustains cooperation in a noisy environment
title_sort tolerant integrated reciprocity sustains cooperation in a noisy environment
topic Evolution of cooperation
Indirect reciprocity
Direct reciprocity
Social norm
Agent-based simulation
url https://doi.org/10.1038/s41598-025-14538-3
work_keys_str_mv AT hitoshiyamamoto tolerantintegratedreciprocitysustainscooperationinanoisyenvironment
AT isamuokada tolerantintegratedreciprocitysustainscooperationinanoisyenvironment
AT takahisasuzuki tolerantintegratedreciprocitysustainscooperationinanoisyenvironment