Dutta's minimal covering set and Shapley's saddles
成果类型：
Article
署名作者：
Duggan, J; LeBreton, M
署名单位：
Aix-Marseille Universite; Institut Universitaire de France
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1996.0085
发表日期：
1996
页码：
257-265
关键词：
摘要：
We prove the existence and uniqueness of the weak saddle, a solution due to Shapley, for a class of zero-sum games including tournament games, as defined by Laffond, Laslier, and Le Breton. We then show that the minimal covering set of a tournament, proposed by Dutta, coincides with the weak saddle of the corresponding tournament game. This provides a positive foundation for the minimal covering set and yields, as corollaries, Dutta's existence and uniqueness theorems for the minimal covering set. Journal of Economic Literature Classification Numbers: C70, C72. (C) 1996 Academic Press, Inc.