Hubner, Valentin, Staab, Manuel, Hilbe, Christian, Chatterjee, Krishnendu and Kleshnina, Maria (2024) Efficiency and resilience of cooperation in asymmetric social dilemmas. Proceedings of the National Academy of Sciences of the United States of America, Vol. 121 (N° 10).

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Official URL : http://iast.fr/pub/129024
Identification Number : 10.1073/pnas.2315558121

Abstract

Direct reciprocity is a powerful mechanism for cooperation in social dilemmas. The very logic of reciprocity, however, seems to require that individuals are symmetric, and that everyone has the same means to influence each others’ payoffs. Yet in many applications, individuals are asymmetric. Herein, we study the effect of asymmetry in linear public good games. Individuals may differ in their endowments (their ability to contribute to a public good) and in their productivities (how effective their contributions are). Given the individuals’ productivities, we ask which allocation of endowments is optimal for cooperation. To this end, we consider two notions of optimality. The first notion focuses on the resilience of cooperation. The respective endowment distribution ensures that full cooperation is feasible even under the most adverse conditions. The second notion focuses on efficiency. The corresponding endowment distribution maximises group welfare. Using analytical methods, we fully characterise these two endowment distributions. This analysis reveals that both optimality notions favour some endowment inequality: more productive players ought to get higher endowments. Yet the two notions disagree on how unequal endowments are supposed to be. A focus on resilience results in less inequality. With additional simulations, we show that the optimal endowment allocation needs to account for both the resilience and the efficiency of cooperation.

Item Type: Article
Language: English
Date: 26 February 2024
Refereed: Yes
Place of Publication: Washington, D.C.
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Site: UT1
Date Deposited: 23 Apr 2024 13:09
Last Modified: 23 Apr 2024 13:09
OAI Identifier: oai:tse-fr.eu:129024
URI: https://publications.ut-capitole.fr/id/eprint/48566
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