ArticleFrontiers in robotics and AI2018
No Strategy Can Win in the Repeated Prisoner's Dilemma: Linking Game Theory and Computer Simulations.
Article in Frontiers in robotics and AI, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Article
- Evolution of noisy learning in games.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Payoff equivalence and complete strategy spaces of direct reciprocity.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Evolving general cooperation with a Bayesian theory of mind.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Picking strategies in games of cooperation.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Article
- Conditional cooperation with longer memory.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Emotions and courtship help bonded pairs cooperate, but emotional agents are vulnerable to deceit.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- A geometric process of evolutionary game dynamics.Journal of the Royal Society, Interface · 2023Article
- The effect of environmental information on evolution of cooperation in stochastic games.Nature communications · 2023Article
- 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
- Inferring strategies from observations in long iterated Prisoner's dilemma experiments.Scientific reports · 2022Article
- Cooperation in alternating interactions with memory constraints.Nature communications · 2022Article
- A unified framework of direct and indirect reciprocity.Nature human behaviour · 2021Article
- The evolution of indirect reciprocity under action and assessment generosity.Scientific reports · 2021Article
- Social dilemmas among unequals.Nature · 2019Article
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2 authors.
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Abstract
Computer simulations are regularly used for studying the evolution of strategies in repeated games. These simulations rarely pay attention to game theoretical results that can illuminate the data analysis or the questions being asked. Results from evolutionary game theory imply that for every Nash equilibrium, there are sequences of mutants that would destabilize them. If strategies are not limited to a finite set, populations move between a variety of Nash equilibria with different levels of cooperation. This instability is inescapable, regardless of how strategies are represented. We present algorithms that show that simulations do agree with the theory. This implies that cognition itself may only have limited impact on the cycling dynamics. We argue that the role of mutations or exploration is more important in determining levels of cooperation.
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