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Fixed Point Theorems with Applications to Economics and Game Theory by Kim C. Border 1985
Publisher: Cambridge University Press, Cambridge
Publication Date: 1985
Binding: Hard cover (blue cloth Binding
Dust Jacket Condition: Dust Jacket Included
Edition: First edition
Description:A fine, unmarked copy in a near fine dust jacket (a ribbon of sunning to spine edge). viii pp. and 129 pp. including index. Mathematical techniques involved in employing fixed point theorems in economics and with both cooperative and non-cooperative games. Crisp and clean, without inscriptions or bumping to corners, gilt remains bright. Dust jacket is not price-clipped and is without tears. Scarce in hard cover, frequently found in soft cover reprint. Bookseller Inventory # 503458
Editorial Reviews:Synopsis: 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
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