Mathematical Analysis And Optimization For Economists
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Mathematical Analysis And Optimization For Economists
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Author : Michael J. Panik
language : en
Publisher: CRC Press
Release Date : 2021-09-30
Mathematical Analysis And Optimization For Economists written by Michael J. Panik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Mathematics categories.
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 Optimization And Economic Analysis
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Author : Mikulás Luptácik
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Mathematical Optimization And Economic Analysis written by Mikulás Luptácik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-03 with Mathematics categories.
"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.
Real Analysis With Economic Applications
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Author : Efe A. Ok
language : en
Publisher: Princeton University Press
Release Date : 2011-09-05
Real Analysis With Economic Applications written by Efe A. Ok and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-05 with Business & Economics categories.
There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis tailored specifically to the concerns of such students. The emphasis throughout is on topics directly relevant to economic theory. In addition to addressing the usual topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. Efe Ok complements the mathematical development with applications that provide concise introductions to various topics from economic theory, including individual decision theory and games, welfare economics, information theory, general equilibrium and finance, and intertemporal economics. Moreover, apart from direct applications to economic theory, his book includes numerous fixed point theorems and applications to functional equations and optimization theory. The book is rigorous, but accessible to those who are relatively new to the ways of real analysis. The formal exposition is accompanied by discussions that describe the basic ideas in relatively heuristic terms, and by more than 1,000 exercises of varying difficulty. This book will be an indispensable resource in courses on mathematics for economists and as a reference for graduate students working on economic theory.
Mathematical Optimization And Economic Theory
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Author : Michael D. Intriligator
language : en
Publisher: SIAM
Release Date : 2002-01-01
Mathematical Optimization And Economic Theory written by Michael D. Intriligator and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Optimal Control Theory And Static Optimization In Economics
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Author : Daniel Léonard
language : en
Publisher: Cambridge University Press
Release Date : 1992-01-31
Optimal Control Theory And Static Optimization In Economics written by Daniel Léonard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-31 with Business & Economics categories.
Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.
Mathematical Methods And Models For Economists
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Author : Angel de la Fuente
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28
Mathematical Methods And Models For Economists written by Angel de la Fuente and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-28 with Business & Economics categories.
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
Optimization And Stability Theory For Economic Analysis
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Author : Brian Beavis
language : en
Publisher: Cambridge University Press
Release Date : 1990
Optimization And Stability Theory For Economic Analysis written by Brian Beavis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Economics, Mathematical categories.
This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found). This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.
Functional Analysis Optimization And Mathematical Economics
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Author : Leonid Vitalʹevich Kantorovich
language : en
Publisher: Oxford University Press on Demand
Release Date : 1990
Functional Analysis Optimization And Mathematical Economics written by Leonid Vitalʹevich Kantorovich and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Religion categories.
This is a collection of papers on the work of Leonid Kantorovich, a Russian mathematician and economist, and a leading contributor to the fields of optimization and mathematical economics. Kantorovich invented linear programming then applied this theory to optimal macroeconomic planning in a socialist economy, for which he received the Nobel Prize. The book is dedicated to the memory of Kantorovich, who died in 1986. It contains original contributions from several researchers in the USSR never before available in the U.S. It is organized in a logical sequence, from mathematics to the applications of the theories to concrete problems. The work is fully illustrated.
Optimization In Economic Theory
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Author : Avinash K. Dixit
language : en
Publisher: OUP UK
Release Date : 1990
Optimization In Economic Theory written by Avinash K. Dixit and has been published by OUP UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Business & Economics categories.
A new edition of a student text which provides a broad study of optimization methods. It builds on the base of simple economic theory, elementary linear algebra and calculus, and reinforces each new mathematical idea by relating it to its economic application.
Foundations Of Mathematical Economics
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Author : Michael Carter
language : en
Publisher: MIT Press
Release Date : 2001-10-26
Foundations Of Mathematical Economics written by Michael Carter and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-26 with Business & Economics categories.
This book provides a comprehensive introduction to the mathematical foundations of economics, from basic set theory to fixed point theorems and constrained optimization. Rather than simply offer a collection of problem-solving techniques, the book emphasizes the unifying mathematical principles that underlie economics. Features include an extended presentation of separation theorems and their applications, an account of constraint qualification in constrained optimization, and an introduction to monotone comparative statics. These topics are developed by way of more than 800 exercises. The book is designed to be used as a graduate text, a resource for self-study, and a reference for the professional economist.