Optimization In Economic Theory Pdf

The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both.

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Optimization: Theory, Algorithms, Applications MSRI - Berkeley SAC, Nov/06 Henry Wolkowicz Department of Combinatorics & Optimization University of Waterloo.
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Optimization In Economic Theory

Author :Avinash K. Dixit
ISBN :0198772106
Genre :Business & Economics
File Size : 75.18 MB
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This is the new edition of a popular student textbook. The author has made revisions and additions to enhance the book's usefulness without destroying its distinctive character as a lucid, thorough, and readable text. It gives a broad treatment of optimization methods, building on simple economic theory and elementary linear algebra and calculus, and reinforcing each new mathematical idea by relating it to its economics application.

Mathematical Optimization And Economic Theory

Author :Michael D. Intriligator
ISBN :9780898715118

Genre :Mathematics
File Size : 64.6 MB
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A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.

Optimisation In Economic Analysis

Author :Gordon Mills
ISBN :0415313163
Genre :Business & Economics
File Size : 43.18 MB
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Optimization In Economic Theory Pdf Online

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One of the fundamental economic problems is one of making the best use of limited resources. As a result, mathematical optimisation methods play a crucial role in economic theory. Covering the use of such methods in applied and policy contexts, this book deals not only with the main techniques (linear programming, nonlinear optimisation and dynamic programming), but also emphasizes the art of model-building and discusses fields such as optimisation over time.

Optimal Control Theory And Static Optimization In Economics

Author :Daniel Léonard
ISBN :0521337461
Genre :Business & Economics
File Size : 46.85 MB
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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.

Dynamic Optimization And Mathematical Economics

Author :Pan-Tai Liu
ISBN :9781468435726
Genre :Juvenile Nonfiction
File Size : 59.34 MB
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As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

A First Course In Optimization Theory

Author :Rangarajan K. Sundaram
ISBN :9780521497190
Genre :Business & Economics
File Size : 58.71 MB
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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 Methods Of Game And Economic Theory

Author :J.-P. Aubin
ISBN :9780080875286
Genre :Mathematics
File Size : 51.41 MB
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This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.

Optimization And Chaos

Author :Mukul Majumdar
ISBN :3540670300
Genre :Business & Economics
File Size : 42.27 MB
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This collection of essays brings together some articles on dynamic optimization models that exhibit chaotic behavior. Chapters 3, 4, 5, 6, 7, and 9 appeared in a Symposium on Chaotic Dynamical Systems in Economic Theory (Volume 4, Number 5, 1994). Also, Chapters 10,11, and 12 appeared in the Journal of Economic The ory. We would like to thank the authors, and Academic Press for permission to reprint. We are grateful to Professor C.D. Aliprantis for suggesting the idea of a book structured around the Economic Theory Symposium, and without the support and patience of Dr. Mueller this project could not have been completed. We would like to thank Ms. Amy Gowan who cheerfully per formed the arduous task of typing the manuscript. Thanks are also due to Xiao Qing Yu, Tridip Ray and Malabika Majumdar for their help at various stages in the preparation of the manuscript. For a course on dynamic optimization addressed to students with a good background in economic theory and real analysis, one can assign Chapter 2 as a partial introduction to the basic tech niques. Chapters 3 and 4 can be assigned to provide examples of simple optmization models generating complicated behavior.

Linear Programming And Economic Analysis

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Optimization In Economic Theory Pdf Example

Robert Dorfman
ISBN :0486654915
Genre :Mathematics

Optimization In Economic Theory Dixit Pdf Download

File Size : 20.64 MB
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Designed primarily for economists and those interested in management economics who are not necessarily accomplished mathematicians, this text offers a clear, concise exposition of the relationship of linear programming to standard economic analysis. The research and writing were supported by The RAND Corporation in the late 1950s. Linear programming has been one of the most important postwar developments in economic theory, but until publication of the present volume, no text offered a comprehensive treatment of the many facets of the relationship of linear programming to traditional economic theory. This book was the first to provide a wide-ranging survey of such important aspects of the topic as the interrelations between the celebrated von Neumann theory of games and linear programming, and the relationship between game theory and the traditional economic theories of duopoly and bilateral monopoly. Modern economists will especially appreciate the treatment of the connection between linear programming and modern welfare economics and the insights that linear programming gives into the determinateness of Walrasian equilibrium. The book also offers an excellent introduction to the important Leontief theory of input-output as well as extensive treatment of the problems of dynamic linear programming. Successfully used for three decades in graduate economics courses, this book stresses practical problems and specifies important concrete applications.

Collected Papers Gesammelte Abhandlungen