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Fixed Point Theorems with Applications to Economics and Game Theory (Paperback)
  • Fixed Point Theorems with Applications to Economics and Game Theory (Paperback)
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Fixed Point Theorems with Applications to Economics and Game Theory (Paperback)

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£36.99
Paperback 140 Pages / Published: 28/07/1989
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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.

Publisher: Cambridge University Press
ISBN: 9780521388085
Number of pages: 140
Weight: 220 g
Dimensions: 225 x 152 x 9 mm


MEDIA REVIEWS
'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
"The book cleanly separates the mathematical theory from the economic applications. Mathematicians, as well as economists, will value this book as a basic, helpful handbook on finite-dimensional fixed-point theorems." Joel Franklin, SIAM Review
"Perhaps the book's greatest strength is that the level of mathematical sophistication it requires is uniform throughout." Timothy J. Kehoe, Journal of Economic Literature
"The organization of the material is novel and interesting and should make the book a useful reference work and perhaps a textbook for a rigorous class on static equilibrium theory of finite competitive economics." Erwin Klein, Mathematical Reviews

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