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Fixed points and economic equilibria /

Urai, Ken, (1962-)

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Fixed points and economic equilibria /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fixed points and economic equilibria // Ken Urai.
作者:	Urai, Ken,
出版者:	Singapore ;World Scientific, : c2010.,
面頁冊數:	xvii, 292 p. :ill. ;24 cm.
內容註:	1. Introduction -- Fixed-point theorems -- Nash equilibrium and abstract economy -- Gale-Nikaido-Debreu's theorem -- General economic equilibrium -- The Cech-type homology theory and fixed points -- Convex structure and fixed-point index -- Applications to related topics -- Mathematics and social sciences.
標題:	Equilibrium (Economics) - Mathematical models. -
ISBN:	9789812837189 (hbk.) :

Fixed points and economic equilibria /
Urai, Ken,1962-

Fixed points and economic equilibria /Ken Urai. - Singapore ;World Scientific,c2010. - xvii, 292 p. :ill. ;24 cm. - Series on mathematical economics and game theory ;v. 5. - Series on mathematical economics and game theory ;v. 5..

Includes bibliographical references (p. 277-284) and index.

1. Introduction -- Fixed-point theorems -- Nash equilibrium and abstract economy -- Gale-Nikaido-Debreu's theorem -- General economic equilibrium -- The Cech-type homology theory and fixed points -- Convex structure and fixed-point index -- Applications to related topics -- Mathematics and social sciences.

"This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-cooperative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences." --P. [4] of cover.

ISBN: 9789812837189 (hbk.) :US107.00

LCCN: 2010282663Subjects--Topical Terms:

542989
Equilibrium (Economics)
--Mathematical models.

LC Class. No.: HB145 / .U73 2010

Dewey Class. No.: 339.5

Fixed points and economic equilibria /
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245 1 0 $a Fixed points and economic equilibria / $c Ken Urai.
260 # $a Singapore ; $a Hackensack, NJ : $b World Scientific, $c c2010.
300 $a xvii, 292 p. : $b ill. ; $c 24 cm.
490 1 $a Series on mathematical economics and game theory ; $v v. 5
504 $a Includes bibliographical references (p. 277-284) and index.
505 0 # $a 1. Introduction -- Fixed-point theorems -- Nash equilibrium and abstract economy -- Gale-Nikaido-Debreu's theorem -- General economic equilibrium -- The Cech-type homology theory and fixed points -- Convex structure and fixed-point index -- Applications to related topics -- Mathematics and social sciences.
520 # $a "This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-cooperative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences." --P. [4] of cover.
650 # 0 $a Equilibrium (Economics) $x Mathematical models. $3 542989
650 # 0 $a Fixed point theory. $3 546826
830 0 $a Series on mathematical economics and game theory ; $v v. 5. $3 1307472