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Dover Books on Mathematics Ser.: Mathematical Methods of Game and Economic Theory by Jean-Pierre Aubin (2007, Perfect)
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-10048646265X
ISBN-139780486462653
eBay Product ID (ePID)8038265737
Product Key Features
Number of Pages656 Pages
LanguageEnglish
Publication NameMathematical Methods of Game and Economic Theory
SubjectGame Theory, Functional Analysis, Economics / General, Optimization
Publication Year2007
FeaturesRevised
TypeTextbook
AuthorJean-Pierre Aubin
Subject AreaMathematics, Business & Economics
SeriesDover Books on Mathematics Ser.
FormatPerfect
Dimensions
Item Height1.2 in
Item Weight28.6 Oz
Item Length9.2 in
Item Width6.3 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2007-017075
Dewey Edition22
IllustratedYes
Dewey Decimal519.3
Table Of ContentPreface to the Dover EditionPreface (1982)Summary of ResultsContents of Other Possible CoursesNotationsI. Optimization and convex analysis1. Minimization problems and convexity2. Existence, uniqueness and stability of optimal solutions3. Compactness and continuity properties4. Differentiability and subdifferentiability: characterization of optimal solutions5. Introduction to duality theoryII. Game theory and the Walras model of allocation of resources6. Two-person games: an introduction7. Two-person zero-sum games: existence theorems8. The fundamental economic model: Walras equilibria9. Non-cooperative n-person games10. Main solution concepts of cooperative games11. Games with side-payments12. Games without side-paymentsIII. Non-linear analysis and optimal control theory13. Minimax type inequalities, monotone correspondences and gamma-convex functions14. Introduction to calculus of variations and optimal control15. Fixed point theorems, quasi-variational inequalities and correspondencesAppendix A. Summary of linear functional analysisAppendix B. The Knaster-Kuratowski-Mazurkiewicz lemmaAppendix C. Lyapunov's theorem on the range of a vector valued measureCommentsReferencesSubject index
Edition DescriptionRevised edition
SynopsisMathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Its 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. 1982 edition., 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., 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.
LC Classification NumberQA269.A87 2007
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