The long-run behavior of the stochastic replicator dynamics
نویسندگان
چکیده
منابع مشابه
Long-Run Analysis of the Stochastic Replicator Dynamics in the Presence of Random Jumps
Abstract A further generalization of the stochastic replicator dynamic derived by Fudenberg and Harris [12] is considered. In particular, a Poissonian integral is introduced to the fitness to simulate the affects of anomalous events. For the two strategy population, an estimation of the long run behavior of the dynamic is derived. For the population with many strategies, conditions for stabilit...
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Fudenberg and Harris’ stochastic version of the classical replicator dynamics is considered. The behavior of this diffusion process in the presence of an evolutionarily stable strategy is investigated. Moreover, extinction of dominated strategies and stochastic stability of strict Nash equilibria are studied. The general results are illustrated in connection with a discrete war of attrition. A ...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2005
ISSN: 1050-5164
DOI: 10.1214/105051604000000837