THE MAXIMAL GENERIC NUMBER OF PURE NASH EQUILIBRIA

Authors
Citation
A. Mclennan, THE MAXIMAL GENERIC NUMBER OF PURE NASH EQUILIBRIA, Journal of economic theory, 72(2), 1997, pp. 408-410
Citations number
5
Categorie Soggetti
Economics
Journal title
ISSN journal
00220531
Volume
72
Issue
2
Year of publication
1997
Pages
408 - 410
Database
ISI
SICI code
0022-0531(1997)72:2<408:TMGNOP>2.0.ZU;2-1
Abstract
For finite pure strategy sets S-1,...,S-n if E subset of S = S-1 x ... x S-n is the set of pure strategy Nash equilibria for an open set of payoffs vectors, then #E less than or equal to #S/(max(i) #S-i). There is an open set of payoff vectors for which there are #S/(max(i) #S-i) pure Nash equilibria. (C) 1997 Academic Press.