Large Poisson games
成果类型：
Article
署名作者：
Myerson, RB
署名单位：
Northwestern University
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1998.2453
发表日期：
2000
页码：
7-45
关键词：
摘要：
Existence of equilibria is proven for Poisson games with compact type sets and finite action sets. Then three theorems are introduced for characterizing limits of probabilities in Poisson games when the expected number of players becomes large. The magnitude theorem characterizes the rate at which probabilities of events go to zero. Thr offset theorem characterizes the ratios of probabilities of events that differ by a finite additive translation. The hyperplane theorem estimates probabilities of hyperplane events. These theorems are applied to derive formulas for pivot probabilities in binary elections, and to analyze a voting game that was studied by Ledyard. Journal of Economic Literature Classification Numbers: C63, C70. (C) 2000 Academic Press.