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A Procedure to Study Stress-Induced Relapse of Heroin Seeking after Punishment-Imposed Abstinence

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Incomplete reputation information and punishment in indirect reciprocity.

Heejeong Kim¹, Yohsuke Murase^2,3,4

¹Department of Physics, Pukyong National University, Busan, 48513, Korea.

Scientific Reports

|March 10, 2026

Summary

Indirect reciprocity, a cooperation strategy, is sensitive to information gaps. While incomplete observation doesn't hinder cooperation, reputation fading does, but costly punishment can restore cooperation.

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Area of Science:

Evolutionary Game Theory
Social Behavior
Behavioral Economics

Background:

Indirect reciprocity drives cooperation through reputation, but information gaps can disrupt it.
Two key information gaps are incomplete observation and reputation fading.

Purpose of the Study:

To analyze the impact of incomplete observation and reputation fading on indirect reciprocity.
To investigate the role of costly punishment in mitigating information gaps.

Main Methods:

Analytical frameworks for public assessment were used to model cooperation dynamics.
The study compared outcomes under different information scenarios and evaluated the addition of costly punishment.

Main Results:

Incomplete observation did not alter cooperation conditions due to balanced updates and reputational stakes.
Reputation fading significantly hinders cooperation, necessitating higher benefit-to-cost ratios as identification probability decreases.
Incorporating costly punishment into norms sustained cooperation across wider parameters in the reputation fading model without efficiency loss.

Conclusions:

The type of information constraint critically influences the effectiveness of indirect reciprocity.
Costly punishment offers a viable strategy to maintain cooperation under reputation fading, unlike under other information limitations.
Distinguishing between information constraint types is crucial for understanding cooperation dynamics and the efficacy of punishment.