Universality of Nash equilibria
成果类型：
Article
署名作者：
Datta, RS
署名单位：
University of California System; University of California Berkeley
刊物名称：
MATHEMATICS OF OPERATIONS RESEARCH
ISSN/ISSBN：
0364-765X
DOI：
10.1287/moor.28.3.424.16397
发表日期：
2003
页码：
424-432
关键词：
摘要：
Every real algebraic variety is isomorphic to the set. of totally mixed Nash equilibria of some three-person game, and also to the set of totally mixed Nash equilibria of an N-person game in which each player has two pure strategies. From the Nash-Tognoli Theorem it follows that every compact differentiable manifold can be encoded as the set of totally mixed Nash equilibria of some game. Moreover, there exist isolated Nash equilibria of arbitrary topological degree.