ON THE REPLICATOR DYNAMICS BEHAVIOR UNDER STRATONOVICH TYPE RANDOM PERTURBATIONS

DOI10.1142/S0219493706001712zbMath1100.60030OpenAlexW1979557623MaRDI QIDQ5483391

N. Potsepun, Rafail Z. Khasminskii

Publication date: 14 August 2006

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493706001712

zbMATH Keywords

stochastic differential equationLyapunov functionreplicator dynamicsNash equilibriumasymptotic stochastic stability

Mathematics Subject Classification ID

Problems related to evolution (92D15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) 2-person games (91A05) Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Evolutionary games (91A22)

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Cites Work

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• Stochastic evolutionary game dynamics
• Domination or equilibrium
• Evolutionary dynamics with aggregate shocks
• Evolutionarily stable strategies and game dynamics
• The long-run behavior of the stochastic replicator dynamics
• Evolutionary Games and Population Dynamics
• A New Representation for Stochastic Integrals and Equations

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