Continuous approximations of stochastic evolutionary game dynamics

• 成果类型: Article
• 署名作者: Corradi, V; Sarin, R
• 署名单位: University of London; Queen Mary University London; Texas A&M University System; Texas A&M University College Station
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1006/jeth.1999.2596
• 发表日期: 2000
• 页码: 163-191
• 关键词: stochastic dynamics; continuous approximations

摘要

Continuous approximations that are ordinary differential equations (ODEs) or stochastic differential equations (SDEs) are often used to study the properties of discrete stochastic processes. We show that different ways of taking the continuous limit of the same model may result in either an ODE or a SDE and study the manner in which each approximates the discrete model. We compare the asymptotic properties of the continuous equations with those of the discrete dynamics and show that they tend to provide a better approximation when a gi ratel amount of variance of the discrete model is preserved in the continuous limit. Journal of Economic Literature Classification numbers: C6, C7, D8. (C) 2000 Academic Press.