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Effect of assessment error and private information on stern-judging in indirect reciprocity

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  • Uchida, Satoshi
  • Sasaki, Tatsuya

Abstract

Stern-judging is one of the best-known assessment rules in indirect reciprocity. Indirect reciprocity is a fundamental mechanism for the evolution of cooperation. It relies on mutual monitoring and assessments, i.e., individuals judge, following their own assessment rules, whether other individuals are “good” or “bad” according to information on their past behaviors. Among many assessment rules, stern-judging is known to provide stable cooperation in a population, as observed when all members in the population know all about others’ behaviors (public information case) and when the members never commit an assessment error. In this paper, the effect of assessment error and private information on stern-judging is investigated. By analyzing the image matrix, which describes who is good in the eyes of whom in the population, we analytically show that private information and assessment error cause the collapse of stern-judging: all individuals assess other individuals as “good” at random with a probability of 1/2.

Suggested Citation

  • Uchida, Satoshi & Sasaki, Tatsuya, 2013. "Effect of assessment error and private information on stern-judging in indirect reciprocity," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 175-180.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:175-180
    DOI: 10.1016/j.chaos.2013.08.006
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    References listed on IDEAS

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    1. Bolton, Gary E. & Katok, Elena & Ockenfels, Axel, 2005. "Cooperation among strangers with limited information about reputation," Journal of Public Economics, Elsevier, vol. 89(8), pages 1457-1468, August.
    2. Seinen, Ingrid & Schram, Arthur, 2006. "Social status and group norms: Indirect reciprocity in a repeated helping experiment," European Economic Review, Elsevier, vol. 50(3), pages 581-602, April.
    3. Rui Cong & Bin Wu & Yuanying Qiu & Long Wang, 2012. "Evolution of Cooperation Driven by Reputation-Based Migration," PLOS ONE, Public Library of Science, vol. 7(5), pages 1-7, May.
    4. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    5. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    6. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 63-80.
    7. Berger, Ulrich, 2011. "Learning to cooperate via indirect reciprocity," Games and Economic Behavior, Elsevier, vol. 72(1), pages 30-37, May.
    8. Perc, Matjaž & Grigolini, Paolo, 2013. "Collective behavior and evolutionary games – An introduction," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 1-5.
    9. Mitsuhiro Nakamura & Naoki Masuda, 2011. "Indirect Reciprocity under Incomplete Observation," PLOS Computational Biology, Public Library of Science, vol. 7(7), pages 1-10, July.
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    Cited by:

    1. Laura Schmid & Farbod Ekbatani & Christian Hilbe & Krishnendu Chatterjee, 2023. "Quantitative assessment can stabilize indirect reciprocity under imperfect information," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    2. Jason Olejarz & Whan Ghang & Martin A. Nowak, 2015. "Indirect Reciprocity with Optional Interactions and Private Information," Games, MDPI, vol. 6(4), pages 1-20, September.
    3. Isamu Okada & Hitoshi Yamamoto & Satoshi Uchida, 2020. "Hybrid Assessment Scheme Based on the Stern- Judging Rule for Maintaining Cooperation under Indirect Reciprocity," Games, MDPI, vol. 11(1), pages 1-10, February.
    4. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    5. Zheng, Junjun & Ren, Tianyu & Ma, Gang & Dong, Jinhui, 2021. "The emergence and implementation of pool exclusion in spatial public goods game with heterogeneous ability-to-pay," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    6. Jiao, Yuhang & Chen, Tong & Chen, Qiao, 2020. "The impact of expressing willingness to cooperate on cooperation in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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