Common priors and separation of convex sets
成果类型：
Article
署名作者：
Samet, D
署名单位：
Tel Aviv University
刊物名称：
GAMES AND ECONOMIC BEHAVIOR
ISSN/ISSBN：
0899-8256
DOI：
10.1006/game.1997.0615
发表日期：
1998
页码：
172-174
关键词：
摘要：
We observe that the set of all priors of an agent is the convex hull of his types. A prior common to all agents exists if the sets of the agents' priors have a point in common, We give a necessary and sufficient condition for the nonemptiness of the intersection of several closed convex subsets of the simplex, which is an extension of the separation theorem. A necessary and sufficient condition for the existence of common prior is a special case of this. (C) 1998 Academic Press.