Social comparison shapes the evolution of cooperation in structured populations

Human cooperation unfolds in social environments where individuals influence each other through payoff-based learning and social comparison, the tendency to evaluate fitness relative to others. However, it is still unclear how social comparison and population structure jointly shape cooperation. Here, we incorporate social comparison theory into evolutionary dynamics on structured populations, letting fitness depend on individual and neighbour payoffs weighted by a comparison parameter. Under weak selection, we derive conditions favoring cooperation and find that the proposed comparison nonlinearly reshapes the critical benefit-to-cost ratio. Even one individual applying this protocol can affect the population, especially in heterogeneous networks. When comparison tendencies vary, the full distribution, not just the mean, determines evolutionary outcomes. Using a swarm-intelligence-based framework across typical and empirical networks, we identify cooperation-maximizing patterns: optimal states exhibit heterogeneous comparison tendencies, yet collectively align toward assimilative development. These results provide a basis for designing social incentives that harness comparison to promote collective cooperation in human groups.

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Publication Details

Journal
Communications Physics
Published
2026-10-08
DOI
https://doi.org/10.1038/s42005-026-02899-8
Primary Topic
Evolutionary Game Theory and Cooperation
Type
article
Field-Weighted Citation Impact
0.00

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article

Social comparison shapes the evolution of cooperation in structured populations

Attila Szolnoki, Minyu Feng, Xiaojin Xiong, Qin Li et al.
Communications Physics
Evolutionary Game Theory and Cooperation
article

Social comparison shapes the evolution of cooperation in structured populations

Attila Szolnoki, Minyu Feng, Xiaojin Xiong, Qin Li, Jurgen Kurths
article en

Abstract

Human cooperation unfolds in social environments where individuals influence each other through payoff-based learning and social comparison, the tendency to evaluate fitness relative to others. However, it is still unclear how social comparison and population structure jointly shape cooperation. Here, we incorporate social comparison theory into evolutionary dynamics on structured populations, letting fitness depend on individual and neighbour payoffs weighted by a comparison parameter. Under weak selection, we derive conditions favoring cooperation and find that the proposed comparison nonlinearly reshapes the critical benefit-to-cost ratio. Even one individual applying this protocol can affect the population, especially in heterogeneous networks. When comparison tendencies vary, the full distribution, not just the mean, determines evolutionary outcomes. Using a swarm-intelligence-based framework across typical and empirical networks, we identify cooperation-maximizing patterns: optimal states exhibit heterogeneous comparison tendencies, yet collectively align toward assimilative development. These results provide a basis for designing social incentives that harness comparison to promote collective cooperation in human groups.

Communications Physics
Natural Science Foundation of Chongqing, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Fundamental Research Funds for the Central Universities, National Research, Development and Innovation Office
Openalex Percentile: Top 16%
Evolutionary Game Theory and Cooperation
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Social comparison shapes the evolution of cooperation in structured populations — Attila Szolnoki, Minyu Feng, et al. · Communications Physics (2026) | TGRS Research Map | TGRS