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Fixed point theorems with a...
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
Monografía
monografia Rebiun24926257 https://catalogo.rebiun.org/rebiun/record/Rebiun24926257 m|||||o||d|||||||| cr|||||||||||| 090916s1985||||enk o ||1 0|eng|d 9780511625756 ebook) 9780521265645 hardback) 9780521388085 paperback) CBUC 991010752273006709 IEF 88607 UkCbUP eng rda UkCbUP 515.7/248 19 Border, Kim C. author Fixed point theorems with applications to economics and game theory Kim C. Border Fixed Point Theorems with Applications to Economics & Game Theory Cambridge Cambridge University Press 1985 Cambridge Cambridge Cambridge University Press 1 online resource (viii, 129 pages) digital, PDF file(s) 1 online resource (viii, 129 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier EBA Cambridge University Press Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Fixed point theory Economics, Mathematical Game theory Print version 9780521265645