Mathematical Methods of Game and Economic Theory by Jean-Pierre Aubin (English)

Mathematical Methods of Game and Economic Theory by Jean-Pierre Aubin

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Format Paperback

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Description This text begins with optimization theory and convex analysis, followed by topics in game theory and mathematical economics, and concluding with an introduction to nonlinear analysis and control theory. 1982 edition.

Publisher Description

Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis.This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.

Author Biography

Aubin, University of Paris-Dauphine, France.

Details ISBN 048646265X ISBN-13 9780486462653 Title Mathematical Methods of Game and Economic Theory Author Jean-Pierre Aubin Format Paperback Year 2008 Pages 656 Publisher Dover Publications Inc. GE_Item_ID:12671231; About Us

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