Mathematical Optimization And Economic Theory

Author : Michael D. Intriligator
Publisher : SIAM
ISBN 13 : 0898715113
Total Pages : 515 pages
Book Rating : 4.18/5 ( download)

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Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Author : Avinash K. Dixit
Publisher : Oxford University Press, USA
ISBN 13 : 9780198772101
Total Pages : 204 pages
Book Rating : 4.06/5 ( download)

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Download or read book Optimization in Economic Theory written by Avinash K. Dixit and published by Oxford University Press, USA. This book was released on 1990 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on a base of simple economic theory and elementary linear algebra and calculus, this broad treatment of static and dynamic optimization methods discusses the importance of shadow prices, and reviews functions defined by solutions of optimization problems. Recently revised and expanded, the second edition will be a valuable resource for upper level undergraduate and graduate students.

Author : Mikulás Luptácik
Publisher : Springer Science & Business Media
ISBN 13 : 0387895523
Total Pages : 299 pages
Book Rating : 4.29/5 ( download)

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Download or read book Mathematical Optimization and Economic Analysis written by Mikulás Luptácik and published by Springer Science & Business Media. This book was released on 2009-10-03 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical Optimization and Economic Analysis" is a self-contained introduction to various optimization techniques used in economic modeling and analysis such as geometric, linear, and convex programming and data envelopment analysis. Through a systematic approach, this book demonstrates the usefulness of these mathematical tools in quantitative and qualitative economic analysis. The book presents specific examples to demonstrate each technique’s advantages and applicability as well as numerous applications of these techniques to industrial economics, regulatory economics, trade policy, economic sustainability, production planning, and environmental policy. Key Features include: - A detailed presentation of both single-objective and multiobjective optimization; - An in-depth exposition of various applied optimization problems; - Implementation of optimization tools to improve the accuracy of various economic models; - Extensive resources suggested for further reading. This book is intended for graduate and postgraduate students studying quantitative economics, as well as economics researchers and applied mathematicians. Requirements include a basic knowledge of calculus and linear algebra, and a familiarity with economic modeling.

Author : M. D. Interligator
Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.34/5 ( download)

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Download or read book Mathematical Optimization and Economic Theory written by M. D. Interligator and published by . This book was released on 1991 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michael J. Panik
Publisher : CRC Press
ISBN 13 : 1000408841
Total Pages : 343 pages
Book Rating : 4.43/5 ( download)

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Download or read book Mathematical Analysis and Optimization for Economists written by Michael J. Panik and published by CRC Press. This book was released on 2021-09-30 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.

Author : Jean-Pierre Aubin
Publisher : Courier Corporation
ISBN 13 : 048646265X
Total Pages : 658 pages
Book Rating : 4.53/5 ( download)

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Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin and published by Courier Corporation. This book was released on 2007-01-01 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yasuo Murata
Publisher : Academic Press
ISBN 13 : 1483271293
Total Pages : 439 pages
Book Rating : 4.93/5 ( download)

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Download or read book Mathematics for Stability and Optimization of Economic Systems written by Yasuo Murata and published by Academic Press. This book was released on 2014-05-10 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory and Mathematical Economics: Mathematics for Stability and Optimization of Economic Systems provides information pertinent to the stability aspects and optimization methods relevant to various economic systems. This book presents relevant mathematical theorems sufficient to develop important economic systems, including Leontief input–output systems, Keynesian dynamic models, the Ramsey optimal accumulation systems, and von Neumann expanding economic systems. Organized into two parts encompassing nine chapters, this book begins with an overview of useful theorems on matrices, eigenvalue problems, and matrices with dominant diagonals and P-matrices. This text then explores the linear transformations on vector spaces. Other chapters consider the Hawkins–Simon theorem concerning non-negative linear systems. This book discusses as well the dual linear relations and optimization methods applicable to inequality economic systems. The final chapter deals with powerful optimal control method for dynamical systems. This book is a valuable resource for mathematicians, economists, research workers, and graduate students.

Author : Dean Corbae
Publisher : Princeton University Press
ISBN 13 : 1400833086
Total Pages : 696 pages
Book Rating : 4.85/5 ( download)

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Download or read book An Introduction to Mathematical Analysis for Economic Theory and Econometrics written by Dean Corbae and published by Princeton University Press. This book was released on 2009-02-17 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded in economics research today. Dean Corbae, Maxwell B. Stinchcombe, and Juraj Zeman equip students with the knowledge of real and functional analysis and measure theory they need to read and do research in economic and econometric theory. Unlike other mathematics textbooks for economics, An Introduction to Mathematical Analysis for Economic Theory and Econometrics takes a unified approach to understanding basic and advanced spaces through the application of the Metric Completion Theorem. This is the concept by which, for example, the real numbers complete the rational numbers and measure spaces complete fields of measurable sets. Another of the book's unique features is its concentration on the mathematical foundations of econometrics. To illustrate difficult concepts, the authors use simple examples drawn from economic theory and econometrics. Accessible and rigorous, the book is self-contained, providing proofs of theorems and assuming only an undergraduate background in calculus and linear algebra. Begins with mathematical analysis and economic examples accessible to advanced undergraduates in order to build intuition for more complex analysis used by graduate students and researchers Takes a unified approach to understanding basic and advanced spaces of numbers through application of the Metric Completion Theorem Focuses on examples from econometrics to explain topics in measure theory

Author : Ding-Zhu Du
Publisher : Springer Science & Business Media
ISBN 13 : 1475757956
Total Pages : 277 pages
Book Rating : 4.58/5 ( download)

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Download or read book Mathematical Theory of Optimization written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematical theory of optimization. It emphasizes the convergence theory of nonlinear optimization algorithms and applications of nonlinear optimization to combinatorial optimization. Mathematical Theory of Optimization includes recent developments in global convergence, the Powell conjecture, semidefinite programming, and relaxation techniques for designs of approximation solutions of combinatorial optimization problems.

Author : Hailiang Yang
Publisher : Elsevier Science Limited
ISBN 13 : 9780080444871
Total Pages : 488 pages
Book Rating : 4.73/5 ( download)

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Download or read book Mathematical and Economic Theory of Road Pricing written by Hailiang Yang and published by Elsevier Science Limited. This book was released on 2005-01-01 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the methodological advances in applying advanced modeling techniques to road pricing. This book discusses topics such as: fundamentals of traffic equilibrium problems; principle of marginal-cost road pricing; models and algorithms for the general second-best road pricing problems; social and spatial equities; Pareto pricing; and more.