ArticleScientific reports2020
Using a theory of mind to find best responses to memory-one strategies.
Article in Scientific reports, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Conditional cooperation with longer memory.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Properties of winning Iterated Prisoner's Dilemma strategies.PLoS computational biology · 2024Article
- Evolution of reciprocity with limited payoff memory.Proceedings. Biological sciences · 2024Article
- Adaptive dynamics of memory-one strategies in the repeated donation game.PLoS computational biology · 2023Article
- Mutation enhances cooperation in direct reciprocity.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Direct reciprocity between individuals that use different strategy spaces.PLoS computational biology · 2022Article
- Misperception influence on zero-determinant strategies in iterated Prisoner's Dilemma.Scientific reports · 2022Article
- Human players manage to extort more than the mutual cooperation payoff in repeated social dilemmas.Scientific reports · 2021Article
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Abstract
Memory-one strategies are a set of Iterated Prisoner's Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This manuscript investigates best response memory-one strategies with a theory of mind for their opponents. The results add to the literature that has shown that extortionate play is not always optimal by showing that optimal play is often not extortionate. They also provide evidence that memory-one strategies suffer from their limited memory in multi agent interactions and can be out performed by optimised strategies with longer memory. We have developed a theory that has allowed to explore the entire space of memory-one strategies. The framework presented is suitable to study memory-one strategies in the Prisoner's Dilemma, but also in evolutionary processes such as the Moran process. Furthermore, results on the stability of defection in populations of memory-one strategies are also obtained.
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