Fixed Point Theorems with Applications to Economics and Game Theory

by Kim C. Border

Fixed point theorems outline the conditions under which sets of assumptions have a solution and can be used to determine if it is possible for a market to be in equilibrium. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to prove the existence of equilibria for economics and for cooperative and non-cooperative games. Special emphasis is given to economies and games in cases where the preferences of agents may not be transitive.
--back cover

129 pages, Paperback

First published April 1, 1985

Reviews

[Jared Tobin · Rating 3 out of 5]

A pretty and concise little monograph on fixed-point theory. Useful as a reference for famous results like Brouwer, Sperner, and KKM, as well as Walras & Nash equilbria.