ArticleScientific reports2019
Computation and Simulation of Evolutionary Game Dynamics in Finite Populations.
Article in Scientific reports, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed.
- The effect of the fitness gradient on fixation probability.Nature communications · 2026Article
- Evolution favours positively biased reasoning in sequential interactions with high future gains.Journal of the Royal Society, Interface · 2025Article
- Picking strategies in games of cooperation.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Committing to the wrong artificial delegate in a collective-risk dilemma is better than directly committing mistakes.Scientific reports · 2024Article
- Evolution of a theory of mind.iScience · 2024Article
- Article
- Self-loops in evolutionary graph theory: Friends or foes?PLoS computational biology · 2023Article
- Spectral dynamics of guided edge removals and identifying transient amplifiers for death-Birth updating.Journal of mathematical biology · 2023Article
- Grouping promotes both partnership and rivalry with long memory in direct reciprocity.PLoS computational biology · 2023Article
- Mutation enhances cooperation in direct reciprocity.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- An evolutionary game study of cockroach control strategies in residential households.Scientific reports · 2023Article
- EGTtools: Evolutionary game dynamics in Python.iScience · 2023Article
- Categorizing update mechanisms for graph-structured metapopulations.Journal of the Royal Society, Interface · 2023Article
- A game-based approach for designing a collaborative evolution mechanism for unmanned swarms on community networks.Scientific reports · 2022Article
- Evolution of direct reciprocity in group-structured populations.Scientific reports · 2022Article
- Suppressors of fixation can increase average fitness beyond amplifiers of selection.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Evaluating the structure-coefficient theorem of evolutionary game theory.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Martingales and the fixation time of evolutionary graphs with arbitrary dimensionality.Royal Society open science · 2022Article
- Spectral analysis of transient amplifiers for death-birth updating constructed from regular graphs.Journal of mathematical biology · 2021Article
- Stable leaders pave the way for cooperation under time-dependent exploration rates.Royal Society open science · 2021Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The study of evolutionary dynamics increasingly relies on computational methods, as more and more cases outside the range of analytical tractability are explored. The computational methods for simulation and numerical approximation of the relevant quantities are diverging without being compared for accuracy and performance. We thoroughly investigate these algorithms in order to propose a reliable standard. For expositional clarity we focus on symmetric 2 × 2 games leading to one-dimensional processes, noting that extensions can be straightforward and lessons will often carry over to more complex cases. We provide time-complexity analysis and systematically compare three families of methods to compute fixation probabilities, fixation times and long-term stationary distributions for the popular Moran process. We provide efficient implementations that substantially improve wall times over naive or immediate implementations. Implications are also discussed for the Wright-Fisher process, as well as structured populations and multiple types.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.