Fixed Point Theorems with Applications to Economics and Game Theory

One of the problems economists have devoted a considerable amount of attention to in recent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it must be asked under what circumstances such an equilibrium is possible. The fundamental mathematical tools used to address this concern are fixed point theorems. These outline the conditions under which sets of assumptions have a solution. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for cooperative and non-cooperative games.Kim C. Border is the author of 'Fixed Point Theorems with Applications to Economics and Game Theory', published 1985 under ISBN 9780521265645 and ISBN 0521265649.