Fixed Point Theorems With Applications to Economics and Game Theory

Border, Kim C.

ISBN 10: 0521265649 / ISBN 13: 9780521265645

Editore: West Nyack, New York, U.S.A.: Cambridge Univ Pr, 1985

Riguardo questo articolo

**INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice articolo ABE-8054275534

Dati bibliografici

Titolo: Fixed Point Theorems With Applications to ...

Casa editrice: West Nyack, New York, U.S.A.: Cambridge Univ Pr

Data di pubblicazione: 1985

Legatura: Soft cover

Condizione: New

Condizione sovraccoperta: New

Edizione: 1st Edition

Descrizione articolo

Riassunto:

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.

Recensione:

'This book provides a clear exposition of the most important results and techniques of fixed point theory with applications to many areas of current interest in analysis ... It is a well written book ... the material is completed by well collected exercises at the end of every chapter. We have to emphasize also, the accuracy of applications to differential mathematicians interested in functional analysis, operator theory, differential equations and also to students for the first view on the fixed point theory.' Acta Scientiarum Mathematicarum