Mathematical Methods of Game and Economic Theory: Revised Edition (Dover Books on Mathematics)

Aubin, Jean-Pierre

ISBN 10: 048646265X / ISBN 13: 9780486462653

Published by Dover Publications, 2007

About this Item

This is a pre-loved book that shows moderate signs of wear from previous reading. You may notice creases, edge wear, or a cracked spine, but it remains in solid, readable condition.Please note:-May include library or rental stickers, stamps, or markings.-Supplemental materials e.g., CDs, access codes, inserts are not guaranteed.-Box sets may not come with the original outer box. If it does, the box will not be in perfect condition. -Sourced from donation centers; authenticity not verified with publisher. Your satisfaction is our top priority! If you have any questions or concerns about your order, please donā t hesitate to reach out. Thank you for shopping with us and supporting small businessā happy reading!

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Bibliographic Details

• Title: Mathematical Methods of Game and Economic Theory: Revised Edition (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2007
• Language: English
• ISBN 10: 048646265X
• ISBN 13: 9780486462653
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.