ArticleJournal of the Royal Society, Interface2023
A geometric process of evolutionary game dynamics.
Article in Journal of the Royal Society, Interface, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Evolutionary dynamics of trust in hierarchical populations with varying investment strategies.Journal of the Royal Society, Interface · 2025Article
- Evolution of trust in theJournal of the Royal Society, Interface · 2025Article
- A geometric process of evolutionary game dynamics.Journal of the Royal Society, Interface · 2023Article
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2 authors.
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Abstract
Many evolutionary processes occur in phenotype spaces which are continuous. It is therefore of interest to explore how selection operates in continuous spaces. One approach is adaptive dynamics, which assumes that mutants are local. Here we study a different process which also allows non-local mutants. We assume that a resident population is challenged by an invader who uses a strategy chosen from a random distribution on the space of all strategies. We study the repeated donation game of direct reciprocity. We consider reactive strategies given by two probabilities, denoting respectively the probability to cooperate after the co-player has cooperated or defected. The strategy space is the unit square. We derive analytic formulae for the stationary distribution of evolutionary dynamics and for the average cooperation rate as function of the cost-to-benefit ratio. For positive reactive strategies, we prove that cooperation is more abundant than defection if the area of the cooperative region is greater than 1/2 which is equivalent to benefit,
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