LAWS OF LARGE NUMBERS FOR DYNAMIC-SYSTEMS WITH RANDOMLY MATCHED INDIVIDUALS

被引:51
作者
BOYLAN, RT
机构
[1] Washington University, Olin School of Business, St. Louis
关键词
D O I
10.1016/0022-0531(92)90046-K
中图分类号
F [经济];
学科分类号
02 ;
摘要
Biologists and economists have analyzed populations where each individual interacts with randomly selected individuals. The random matching generates a very complicated stochastic system. Consequently biologists and economists have approximated such a system with a deterministic system. The justification for such an approximation is that the population is assumed to be very large and thus some law of large numbers must hold. This paper gives a characterization of random matching schemes for countably infinite populations. In particular this paper shows that there exists a random matching scheme such that the stochastic system and the deterministic system are the same. © 1992.
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页码:473 / 504
页数:32
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