Title: A proof of the existence of φ-stable sets in N-player games via Glicksberg's fixed point theorem
Authors: Shravan Luckraz
Addresses: School of Economics, Faculty of Social Sciences, The University of Nottingham, Ningbo, China
Abstract: It is shown that if we represent the widely studied class of finite games with mixed extensions by some general abstract system, then the existence of a non-empty phi-stable set follows from Glicksberg's fixed point theorem.
Keywords: Glicksberg; fixed point theorem; phi-stable sets; finite games; mixed extensions.
Asian Journal of Management Science and Applications, 2016 Vol.2 No.4, pp.356 - 364
Received: 25 Sep 2015
Accepted: 01 Feb 2016
Published online: 13 Mar 2017 *