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Evolution of reciprocity with limited payoff memory

2023/11/04 by Nikoleta E. Glynatsi, Glynatsi, Nikoleta E., Alex McAvoy +3
Biochemistry, Genetics and Molecular Biology · Psychology · Social Sciences · #Computer Science and Game Theory (cs.GT) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Evolutionary Psychology and Human Behavior #FOS: Computer and information sciences #FOS: Physical sciences #Physics and Society (physics.soc-ph)

paper · pdf · doi:10.48550/arxiv.2311.02365

openalex publication_date 2023/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Direct reciprocity is a mechanism for the evolution of cooperation in repeated social interactions. According to this literature, individuals naturally learn to adopt conditionally cooperative strategies if they have multiple encounters with their partner. Corresponding models have greatly facilitated our understanding of cooperation, yet they often make strong assumptions on how individuals remember and process payoff information. For example, when strategies are updated through social learning, it is commonly assumed that individuals compare their average payoffs. This would require them to compute (or remember) their payoffs against everyone else in the population. To understand how more realistic constraints influence direct reciprocity, we consider the evolution of conditional behaviors when individuals learn based on more recent experiences. Even in the most extreme case that they only take into account their very last interaction, we find that cooperation can still evolve. However, such individuals adopt less generous strategies, and they tend to cooperate less often than in the classical setup with average payoffs. Interestingly, once individuals remember the payoffs of two or three recent interactions, cooperation rates quickly approach the classical limit. These findings contribute to a literature that explores which kind of cognitive capabilities are required for reciprocal cooperation. While our results suggest that some rudimentary form of payoff memory is necessary, it already suffices to remember a few interactions.

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