| Fixed Point Theorems with Applications to Economics and Game Theory Revised Edition Contributor(s): Border, Kim C. (Author), Kim C., Border (Author) |
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ISBN: 0521388082 ISBN-13: 9780521388085 Publisher: Cambridge University Press OUR PRICE: $64.59 Product Type: Paperback - Other Formats Published: July 1989 Annotation: One of the problems in economics to which economists have devoted a considerable amount of attention 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. Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. In addition, the author presents new proofs of old results in order to further clarify the results. He also proposes new results, notably in the last chapter, that refer to the core of a game without transitivity. This book will be useful as a text or reference work for mathematical economists and graduate and advanced undergraduate students. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Game Theory - Business & Economics | Economic History |
| Dewey: 515.7 |
| Physical Information: 0.34" H x 5.98" W x 8.86" (0.48 lbs) 140 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible. The fundamental mathematical tools used to address this concern are fixed point theorems: 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 co-operative and noncooperative games. Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. The author presents topical proofs of old results in order to further clarify the results. He also proposes fresh results, notably in the last chapter, that refer to the core of a game without transitivity. This book will be useful as a text or reference work for mathematical economists and graduate and advanced undergraduate students. |