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Mathematical Optimization and Economic Theory

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Release : 2002-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 113/5 ( reviews)

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Book Synopsis Mathematical Optimization and Economic Theory by : Michael D. Intriligator

Download or read book Mathematical Optimization and Economic Theory written by Michael D. Intriligator. This book was released on 2002-01-01. 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.

Mathematical Optimization and Economic Analysis

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Release : 2009-10-03
Genre : Mathematics
Kind : eBook
Book Rating : 523/5 ( reviews)

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Book Synopsis Mathematical Optimization and Economic Analysis by : Mikulás Luptácik

Download or read book Mathematical Optimization and Economic Analysis written by Mikulás Luptácik. This book was released on 2009-10-03. 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.

Optimization in Economic Theory

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Release : 1990
Genre : Economics, Mathematical
Kind : eBook
Book Rating : 101/5 ( reviews)

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Book Synopsis Optimization in Economic Theory by : Avinash K. Dixit

Download or read book Optimization in Economic Theory written by Avinash K. Dixit. This book was released on 1990. 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.

Mathematical Analysis and Optimization for Economists

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Release : 2021-09-30
Genre : Mathematics
Kind : eBook
Book Rating : 841/5 ( reviews)

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Book Synopsis Mathematical Analysis and Optimization for Economists by : Michael J. Panik

Download or read book Mathematical Analysis and Optimization for Economists written by Michael J. Panik. This book was released on 2021-09-30. 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.

Mathematical Methods of Game and Economic Theory

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Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 65X/5 ( reviews)

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

Download or read book Mathematical Methods of Game and Economic Theory written by Jean-Pierre Aubin. This book was released on 2007-01-01. 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.

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