ASYMPTOTIC BEHAVIOR OF SOME INTERACTIVE POPULATION FLOW MODELS

成果类型:
Article
署名作者:
Stadje, Wolfgang
署名单位:
University Osnabruck
刊物名称:
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN:
1050-5164
发表日期:
1997
页码:
837-854
关键词:
摘要:
This paper is concerned with Markov chain models for flows of a finite population among a set of groups, where the individuals base their decisions on which group to go next partially on the current frequency distribution (profile). For a certain class of these models, the transition matrix of the profile process is analyzed algebraically, leading to surprisingly simple asymptotic results. Furthermore, in a model with after effects, the absorption probabilities are derived.