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Optimization in Economic Theory

Optimization in Economic Theory Author Avinash K. Dixit
ISBN-10 0198772106
Release 1990
Pages 188
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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.



Optimization in Economic Theory

Optimization in Economic Theory Author Avinash K. Dixit
ISBN-10 0198772114
Release 1990
Pages 188
Download Link Click Here

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 by the author, the second edition of this popular student text will be a valuable resource for upper level undergraduate and graduate students.



Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory Author Michael D. Intriligator
ISBN-10 9780898715118
Release 2002-01-01
Pages 508
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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

Optimal Control Theory and Static Optimization in Economics Author Daniel Léonard
ISBN-10 0521337461
Release 1992-01-31
Pages 353
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Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This book is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigor. Economic intuition is emphasized, examples and problem sets covering a wide range of applications in economics are provided, theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with the simple formulations and progressing to advanced topics. Optimal control theory is introduced directly, without recourse to the calculus of variations, and the connection with the latter and with dynamic programming is explained in a separate chapter. Also, the book draws the parallel between optimal control theory and static optimization. No previous knowledge of differential equations is required.



Optimization in Economics and Finance

Optimization in Economics and Finance Author Bruce D. Craven
ISBN-10 9780387242804
Release 2006-03-30
Pages 161
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Some recent developments in the mathematics of optimization, including the concepts of invexity and quasimax, have not yet been applied to models of economic growth, and to finance and investment. Their applications to these areas are shown in this book.



Dynamic Optimization Second Edition

Dynamic Optimization  Second Edition Author Morton I. Kamien
ISBN-10 9780486310282
Release 2013-04-17
Pages 400
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Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.



Elements of Dynamic Optimization

Elements of Dynamic Optimization Author Alpha C. Chiang
ISBN-10 9781478608349
Release 1999-12-22
Pages 327
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In this text, Dr. Chiang introduces students to the most important methods of dynamic optimization used in economics. The classical calculus of variations, optimal control theory, and dynamic programming in its discrete form are explained in the usual Chiang fashion, with patience and thoroughness. The economic examples, selected from both classical and recent literature, serve not only to illustrate applications of the mathematical methods, but also to provide a useful glimpse of the development of thinking in several areas of economics.



A First Course in Optimization Theory

A First Course in Optimization Theory Author Rangarajan K. Sundaram
ISBN-10 9780521497190
Release 1996-06-13
Pages 357
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Divided into three separate parts, this book introduces students to optimization theory and its use in economics and allied disciplines. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.



Mathematical Optimization and Economic Analysis

Mathematical Optimization and Economic Analysis Author Mikulás Luptácik
ISBN-10 9780387895529
Release 2009-10-03
Pages 294
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"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.



Finite Dimensional Convexity and Optimization

Finite Dimensional Convexity and Optimization Author Monique Florenzano
ISBN-10 9783642565229
Release 2012-12-06
Pages 154
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This book discusses convex analysis, the basic underlying structure of argumentation in economic theory. Convex analysis is also common to the optimization of problems encountered in many applications. The text is aimed at senior undergraduate students, graduate students, and specialists of mathematical programming who are undertaking research into applied mathematics and economics. The text consists of a systematic development in eight chapters, and contains exercises. The book is appropriate as a class text or for self-study.



Mathematical Economics

Mathematical Economics Author Akira Takayama
ISBN-10 0521314984
Release 1985-08-30
Pages 737
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This book provides a systematic exposition of mathematical economics, presenting and surveying existing theories and showing ways in which they can be extended. One of its strongest features is that it emphasises the unifying structure of economic theory in such a way as to provide the reader with the technical tools and methodological approaches necessary for undertaking original research. The author offers explanations and discussion at an accessible and intuitive level providing illustrative examples. He begins the work at an elementary level and progessively takes the reader to the frontier of current research. This second edition brings the reader fully up to date with recent research in the field.



Mathematical Methods and Models for Economists

Mathematical Methods and Models for Economists Author Angel de la Fuente
ISBN-10 0521585295
Release 2000-01-28
Pages 835
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A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.



Mathematics for Stability and Optimization of Economic Systems

Mathematics for Stability and Optimization of Economic Systems Author Yasuo Murata
ISBN-10 9781483271293
Release 2014-05-10
Pages 438
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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.



Mathematical Modeling in Economics Ecology and the Environment

Mathematical Modeling in Economics  Ecology and the Environment Author Natali Hritonenko
ISBN-10 9781461493112
Release 2014-01-08
Pages 296
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Updated to textbook form by popular demand, this second edition discusses diverse mathematical models used in economics, ecology, and the environmental sciences with emphasis on control and optimization. It is intended for graduate and upper-undergraduate course use, however, applied mathematicians, industry practitioners, and a vast number of interdisciplinary academics will find the presentation highly useful. Core topics of this text are: · Economic growth and technological development · Population dynamics and human impact on the environment · Resource extraction and scarcity · Air and water contamination · Rational management of the economy and environment · Climate change and global dynamics The step-by-step approach taken is problem-based and easy to follow. The authors aptly demonstrate that the same models may be used to describe different economic and environmental processes and that similar investigation techniques are applicable to analyze various models. Instructors will appreciate the substantial flexibility that this text allows while designing their own syllabus. Chapters are essentially self-contained and may be covered in full, in part, and in any order. Appropriate one- and two-semester courses include, but are not limited to, Applied Mathematical Modeling, Mathematical Methods in Economics and Environment, Models of Biological Systems, Applied Optimization Models, and Environmental Models. Prerequisites for the courses are Calculus and, preferably, Differential Equations.



Dynamic Economics

Dynamic Economics Author Gregory C. Chow
ISBN-10 9780195101928
Release 1997
Pages 234
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This work presents the optimization framework for dynamic economics and treats a number of topics in economics, including growth, macroeconomics, microeconomics, finance and dynamic games. The book also teaches by examples, using concepts to solve simple problems, moving on to general propositions.



Stochastic Optimization in Continuous Time

Stochastic Optimization in Continuous Time Author Fwu-Ranq Chang
ISBN-10 1139452223
Release 2004-04-26
Pages
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First published in 2004, this is a rigorous but user-friendly book on the application of stochastic control theory to economics. A distinctive feature of the book is that mathematical concepts are introduced in a language and terminology familiar to graduate students of economics. The standard topics of many mathematics, economics and finance books are illustrated with real examples documented in the economic literature. Moreover, the book emphasises the dos and don'ts of stochastic calculus, cautioning the reader that certain results and intuitions cherished by many economists do not extend to stochastic models. A special chapter (Chapter 5) is devoted to exploring various methods of finding a closed-form representation of the value function of a stochastic control problem, which is essential for ascertaining the optimal policy functions. The book also includes many practice exercises for the reader. Notes and suggested readings are provided at the end of each chapter for more references and possible extensions.



Energy Optimization in Process Systems and Fuel Cells

Energy Optimization in Process Systems and Fuel Cells Author Stanislaw Sieniutycz
ISBN-10 9780080982274
Release 2013-02-14
Pages 818
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Energy Optimization in Process Systems and Fuel Cells, Second Edition covers the optimization and integration of energy systems, with a particular focus on fuel cell technology. With rising energy prices, imminent energy shortages, and increasing environmental impacts of energy production, energy optimization and systems integration is critically important. The book applies thermodynamics, kinetics and economics to study the effect of equipment size, environmental parameters, and economic factors on optimal power production and heat integration. Author Stanislaw Sieniutycz, highly recognized for his expertise and teaching, shows how costs can be substantially reduced, particularly in utilities common in the chemical industry. This second edition contains substantial revisions, with particular focus on the rapid progress in the field of fuel cells, related energy theory, and recent advances in the optimization and control of fuel cell systems. New information on fuel cell theory, combined with the theory of flow energy systems, broadens the scope and usefulness of the book Discusses engineering applications including power generation, resource upgrading, radiation conversion, and chemical transformation in static and dynamic systems Contains practical applications of optimization methods that help solve the problems of power maximization and optimal use of energy and resources in chemical, mechanical, and environmental engineering