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Main Authors: Pal, Saptarshi, Mallela, Abhishek, Hilbe, Christian, Pracher, Lenz, Wei, Chiyu, Fu, Feng, Schnell, Santiago, Nowak, Martin A
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.09849
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author Pal, Saptarshi
Mallela, Abhishek
Hilbe, Christian
Pracher, Lenz
Wei, Chiyu
Fu, Feng
Schnell, Santiago
Nowak, Martin A
author_facet Pal, Saptarshi
Mallela, Abhishek
Hilbe, Christian
Pracher, Lenz
Wei, Chiyu
Fu, Feng
Schnell, Santiago
Nowak, Martin A
contents Large language models (LLMs) are increasingly deployed to support human decision-making. This use of LLMs has concerning implications, especially when their prescriptions affect the welfare of others. To gauge how LLMs make social decisions, we explore whether five leading models produce sensible strategies in the repeated prisoner's dilemma, which is the main metaphor of reciprocal cooperation. First, we measure the propensity of LLMs to cooperate in a neutral setting, without using language reminiscent of how this game is usually presented. We record to what extent LLMs implement Nash equilibria or other well-known strategy classes. Thereafter, we explore how LLMs adapt their strategies to changes in parameter values. We vary the game's continuation probability, the payoff values, and whether the total number of rounds is commonly known. We also study the effect of different framings. In each case, we test whether the adaptations of the LLMs are in line with basic intuition, theoretical predictions of evolutionary game theory, and experimental evidence from human participants. While all LLMs perform well in many of the tasks, none of them exhibit full consistency over all tasks. We also conduct tournaments between the inferred LLM strategies and study direct interaction between LLMs in games over ten rounds with a known or unknown last round. Our experiments shed light on how current LLMs instantiate reciprocal cooperation.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09849
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Strategies of cooperation and defection in five large language models
Pal, Saptarshi
Mallela, Abhishek
Hilbe, Christian
Pracher, Lenz
Wei, Chiyu
Fu, Feng
Schnell, Santiago
Nowak, Martin A
Computers and Society
Large language models (LLMs) are increasingly deployed to support human decision-making. This use of LLMs has concerning implications, especially when their prescriptions affect the welfare of others. To gauge how LLMs make social decisions, we explore whether five leading models produce sensible strategies in the repeated prisoner's dilemma, which is the main metaphor of reciprocal cooperation. First, we measure the propensity of LLMs to cooperate in a neutral setting, without using language reminiscent of how this game is usually presented. We record to what extent LLMs implement Nash equilibria or other well-known strategy classes. Thereafter, we explore how LLMs adapt their strategies to changes in parameter values. We vary the game's continuation probability, the payoff values, and whether the total number of rounds is commonly known. We also study the effect of different framings. In each case, we test whether the adaptations of the LLMs are in line with basic intuition, theoretical predictions of evolutionary game theory, and experimental evidence from human participants. While all LLMs perform well in many of the tasks, none of them exhibit full consistency over all tasks. We also conduct tournaments between the inferred LLM strategies and study direct interaction between LLMs in games over ten rounds with a known or unknown last round. Our experiments shed light on how current LLMs instantiate reciprocal cooperation.
title Strategies of cooperation and defection in five large language models
topic Computers and Society
url https://arxiv.org/abs/2601.09849