Continuous approximations of stochastic evolutionary game dynamics (Q1841177)
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scientific article; zbMATH DE number 1569407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous approximations of stochastic evolutionary game dynamics |
scientific article; zbMATH DE number 1569407 |
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Continuous approximations of stochastic evolutionary game dynamics (English)
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21 June 2001
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The paper deals with a model of imitation, i.e. a discrete stochastic model which describes the change of the composition of different types in a given population. The change of the composition is caused by the imitation process [ cf. \textit{A.~Banerjee}, Q. J. Econ. 116, No. 1, 189--227 (2001; Zbl 0979.91021)]. The focus of the paper is on the construction of continuous limit for specific discrete imitation model. Under different assumptions, two limits of the same discrete model can be obtained: ordinary differential equations and stochastic differential equation. Asymptotic properties of the continuous and discrete models are compared.
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stochastic evolutionary game dynamics
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continuous approximation
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imitation process
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