On the Existence of Pure Strategy Nash Equilibria in Large Games

Guilherme Carmona

Game Theory and Information from University Library of Munich, Germany

Abstract: We consider an asymptotic version of Mas-Colell's theorem on the existence of pure strategy Nash equilibria in large games. Our result states that, if players' payoff functions are selected from an equicontinuous family, then all sufficiently large games have an epsilon - pure, epsilon - equilibrium for all epsilon greater than 0. We also show that our result is equivalent to Mas-Colell's existence theorem, implying that it can properly be considered as its asymptotic version.

Keywords: Nash Equilibrium; Asymptotic Results; Pure Strategies; Approximate equilibria; Equicontinuity; Purification (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2004-12-21
New Economics Papers: this item is included in nep-gth
Note: Type of Document - pdf; pages: 24. none
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0412/0412008.pdf (application/pdf)

Related works:
Working Paper: On the existence of pure strategy nash equilibria in large games (2006)
Working Paper: On the existence of pure strategy nash equilibria in large games (2004)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0412008

Access Statistics for this paper

More papers in Game Theory and Information from University Library of Munich, Germany
Bibliographic data for series maintained by EconWPA ( this e-mail address is bad, please contact ).