Generalized urn models of evolutionary processes.

DOI10.1214/105051604000000422zbMath1051.60072arXivmath/0407129OpenAlexW3102974863WikidataQ117218588 ScholiaQ117218588MaRDI QIDQ1879916

Sebastian J. Schreiber, Pierre Tarrès, Michel Benaïm

Publication date: 15 September 2004

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407129

zbMATH Keywords

population geneticsMarkov chainpopulation dynamicsreplicator equationurn model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Limit theorems in probability theory (60F99)

Related Items (11)

Time averages, recurrence and transience in the stochastic replicator dynamics ⋮ Frequency-dependent strategy selection in a hunting game with a finite population ⋮ Analysis of the smoothly amnesia-reinforced multidimensional elephant random walk ⋮ Immigrated urn models-theoretical properties and applications ⋮ Evolutionary dynamics of finite populations in games with polymorphic fitness equilibria ⋮ Nonparametric covariate-adjusted response-adaptive design based on a functional urn model ⋮ Asymptotic theorems of sequential estimation-adjusted urn models ⋮ Strong Convergence for URN Models with Reducible Replacement Policy ⋮ Multiple-trial conflicts and stochastic evolutionary game dynamics ⋮ Interim analysis of clinical trials based on urn models ⋮ Convergence of generalized urn models to non-equilibrium attractors

Cites Work

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• Nonconvergence to unstable points in urn models and stochastic approximations
• A strong law for some generalized urn processes
• Vertex-reinforced random walks and a conjecture of Pemantle
• Asymptotic pseudotrajectories and chain recurrent flows, with applications
• Urn Models, Replicator Processes, and Random Genetic Drift
• A generalized URN problem and its applications
• Evolutionary Games and Population Dynamics
• Dynamics of Morse-Smale urn processes
• A Dynamical System Approach to Stochastic Approximations
• Pièges répulsifs
• Probability

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