Mathematical Optimization And Economic Analysis

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Author: Mikulás Luptácik
Publisher: Springer Science & Business Media
ISBN: 0387895523
Size: 31.25 MB
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Mathematical Optimization And Economic Analysis by Mikulás Luptácik


Original Title: Mathematical Optimization And Economic Analysis

"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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Author: Avinash K. Dixit
Publisher: Oxford University Press on Demand
ISBN: 9780198772101
Size: 27.29 MB
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Optimization In Economic Theory by Avinash K. Dixit


Original Title: Optimization In Economic Theory

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.

Optimisation In Economic Analysis

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Author: Gordon Mills
Publisher: Routledge
ISBN: 1317833635
Size: 34.16 MB
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Optimisation In Economic Analysis by Gordon Mills


Original Title: Optimisation In Economic Analysis

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.

Dynamic Optimization And Mathematical Economics

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Author: Pan-Tai Liu
Publisher: Springer Science & Business Media
ISBN: 1468435728
Size: 69.17 MB
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Dynamic Optimization And Mathematical Economics by Pan-Tai Liu


Original Title: Dynamic Optimization And Mathematical Economics

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.

Mathematics For Stability And Optimization Of Economic Systems

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Author: Yasuo Murata
Publisher: Academic Press
ISBN: 1483271293
Size: 28.54 MB
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Mathematics For Stability And Optimization Of Economic Systems by Yasuo Murata


Original Title: Mathematics For Stability And Optimization Of Economic Systems

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 Methods Of Game And Economic Theory

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Author: Jean-Pierre Aubin
Publisher: Courier Corporation
ISBN: 048646265X
Size: 25.42 MB
Format: PDF
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Mathematical Methods Of Game And Economic Theory by Jean-Pierre Aubin


Original Title: Mathematical Methods Of Game And Economic Theory

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.

Approximation Optimization And Mathematical Economics

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Author: Marc Lassonde
Publisher: Springer Science & Business Media
ISBN: 3642575927
Size: 75.28 MB
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Approximation Optimization And Mathematical Economics by Marc Lassonde


Original Title: Approximation Optimization And Mathematical Economics

The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.

Mathematical And Economic Theory Of Road Pricing

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Author: Hai Yang
Publisher: Elsevier
ISBN: 0080444873
Size: 36.41 MB
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Mathematical And Economic Theory Of Road Pricing by Hai Yang


Original Title: Mathematical And Economic Theory Of Road Pricing

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.

Mathematics For Economics

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Author: Michael Hoy
Publisher: MIT Press
ISBN: 9780262582018
Size: 40.32 MB
Format: PDF
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Mathematics For Economics by Michael Hoy


Original Title: Mathematics For Economics

This text offers a presentation of the mathematics required to tackle problems in economic analysis. After a review of the fundamentals of sets, numbers, and functions, it covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics.

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