ArticleJournal of mathematical biology2016
Structure coefficients and strategy selection in multiplayer games.
Article in Journal of mathematical biology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Evolution of noisy learning in games.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Public goods games on any population structure.Science advances · 2026Article
- Frequency-dependent returns in nonlinear public goods games.Journal of the Royal Society, Interface · 2024Article
- Evolutionary dynamics of any multiplayer game on regular graphs.Nature communications · 2024Article
- Fixation probabilities in evolutionary dynamics under weak selection.Journal of mathematical biology · 2021Article
- Learning enables adaptation in cooperation for multi-player stochastic games.Journal of the Royal Society, Interface · 2020Article
- Fixation properties of multiple cooperator configurations on regular graphs.Theory in biosciences = Theorie in den Biowissenschaften · 2019Article
- Evolutionary multiplayer games on graphs with edge diversity.PLoS computational biology · 2019Article
- A mathematical formalism for natural selection with arbitrary spatial and genetic structure.Journal of mathematical biology · 2019Article
- The Red Queen and King in finite populations.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Impact of migration on the multi-strategy selection in finite group-structured populations.Scientific reports · 2016Article
- Evolutionary Games of Multiplayer Cooperation on Graphs.PLoS computational biology · 2016Article
- Ordering structured populations in multiplayer cooperation games.Journal of the Royal Society, Interface · 2016Article
- Structural symmetry in evolutionary games.Journal of the Royal Society, Interface · 2015Article
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Authors and funding
2 authors.
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Abstract
Evolutionary processes based on two-player games such as the Prisoner's Dilemma or Snowdrift Game are abundant in evolutionary game theory. These processes, including those based on games with more than two strategies, have been studied extensively under the assumption that selection is weak. However, games involving more than two players have not received the same level of attention. To address this issue, and to relate two-player games to multiplayer games, we introduce a notion of reducibility for multiplayer games that captures what it means to break down a multiplayer game into a sequence of interactions with fewer players. We discuss the role of reducibility in structured populations, and we give examples of games that are irreducible in any population structure. Since the known conditions for strategy selection, otherwise known as [Formula: see text]-rules, have been established only for two-player games with multiple strategies and for multiplayer games with two strategies, we extend these rules to multiplayer games with many strategies to account for irreducible games that cannot be reduced to those simpler types of games. In particular, we show that the number of structure coefficients required for a symmetric game with [Formula: see text]-player interactions and [Formula: see text] strategies grows in [Formula: see text] like [Formula: see text]. Our results also cover a type of ecologically asymmetric game based on payoff values that are derived not only from the strategies of the players, but also from their spatial positions within the population.
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