Memoirs of the American Mathematical Society 1998; 140 pp; softcover Volume: 132 ISBN10: 0821807471 ISBN13: 9780821807477 List Price: US$49 Individual Members: US$29.40 Institutional Members: US$39.20 Order Code: MEMO/132/625
 This book provides a unified treatment for the study of the existence of equilibria of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities, which strongly depend on his infinite dimensional version of the classical Knaster, Kuratowski and Mazurkiewicz Lemma (KKM Lemma) in 1961. Studied are applications of general system versions of minimax inequalities and generalized quasivariational inequalities, and random abstract economies and its applications to the system of random quasivariational inequalities are given. Features:  Presents new results and recent development of KKM theory.
 Offers an overview of modern and uptodate treatment of the KKM theory, including related articles covering theory and applications.
 Uses an interdisciplinary approach with specific applications in mathematics and economics.
 Includes a comprehensive bibliography.
Readership Graduate students, research mathematicians, statisticians, operations researchers and economists working in functional analysis. Table of Contents  The KKM principle related to Ky Fan minimax inequalities and fixed point theorems
 Equilibria of abstract economics in Hausdorff topological vector spaces
 Equilibria of abstract economics in locally convex topological vector spaces
 Equilibria in Frechet spaces
 Equilibria in topological spaces and some applications
 Maximal elements and coincidence theorems in product topological spaces
 Random abstract economics and applications
