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Approximation, Optimization and Mathematical Economics

Approximation, Optimization and Mathematical Economics
Author: Marc Lassonde
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642575927

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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.


Approximation, Optimization and Mathematical Economics

Approximation, Optimization and Mathematical Economics
Author: Marc Lassonde
Publisher: Physica
Total Pages: 393
Release: 2001-01-26
Genre: Mathematics
ISBN: 9783790813630

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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.


Optimization in Economics and Finance

Optimization in Economics and Finance
Author: Bruce D. Craven
Publisher: Springer Science & Business Media
Total Pages: 174
Release: 2005-10-24
Genre: Business & Economics
ISBN: 0387242805

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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 and Mathematical Economics

Dynamic Optimization and Mathematical Economics
Author: Pan-Tai Liu
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2013-03-09
Genre: Science
ISBN: 1468435728

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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.


Mathematical Optimization and Economic Theory

Mathematical Optimization and Economic Theory
Author: Michael D. Intriligator
Publisher: SIAM
Total Pages: 515
Release: 2002-01-01
Genre: Mathematics
ISBN: 0898715113

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A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.


Optimization and Approximation

Optimization and Approximation
Author: Pablo Pedregal
Publisher: Springer
Total Pages: 254
Release: 2017-09-07
Genre: Mathematics
ISBN: 3319648438

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This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.


Mathematical Analysis, Approximation Theory and Their Applications

Mathematical Analysis, Approximation Theory and Their Applications
Author: Themistocles M. Rassias
Publisher: Springer
Total Pages: 741
Release: 2016-06-03
Genre: Mathematics
ISBN: 3319312812

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Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.


Mathematical Optimization Theory and Operations Research

Mathematical Optimization Theory and Operations Research
Author: Michael Khachay
Publisher: Springer
Total Pages: 716
Release: 2019-06-12
Genre: Computers
ISBN: 3030226298

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This book constitutes the proceedings of the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 48 full papers presented in this volume were carefully reviewed and selected from 170 submissions. MOTOR 2019 is a successor of the well-known International and All-Russian conference series, which were organized in Ural, Siberia, and the Far East for a long time. The selected papers are organized in the following topical sections: mathematical programming; bi-level optimization; integer programming; combinatorial optimization; optimal control and approximation; data mining and computational geometry; games and mathematical economics.


Mathematical Optimization Theory and Operations Research

Mathematical Optimization Theory and Operations Research
Author: Yury Kochetov
Publisher: Springer Nature
Total Pages: 445
Release: 2020-09-13
Genre: Computers
ISBN: 303058657X

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This book constitutes refereed proceedings of the 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020, held in Novosibirsk, Russia, in July 2020. Due to the COVID-19 pandemic the conference was held online. The 25 full papers and 8 short papers presented in this volume were carefully reviewed and selected from a total of 102 submissions. The papers in the volume are organised according to the following topical headings: ​combinatorial optimization; mathematical programming; global optimization; game theory and mathematical economics; heuristics and metaheuristics; machine learning and data analysis.


Elements of Numerical Mathematical Economics with Excel

Elements of Numerical Mathematical Economics with Excel
Author: Giovanni Romeo
Publisher: Academic Press
Total Pages: 816
Release: 2019-11-28
Genre: Business & Economics
ISBN: 0128176490

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Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization shows readers how to apply static and dynamic optimization theory in an easy and practical manner, without requiring the mastery of specific programming languages that are often difficult and expensive to learn. Featuring user-friendly numerical discrete calculations developed within the Excel worksheets, the book includes key examples and economic applications solved step-by-step and then replicated in Excel. After introducing the fundamental tools of mathematical economics, the book explores the classical static optimization theory of linear and nonlinear programming, applying the core concepts of microeconomics and some portfolio theory. This provides a background for the more challenging worksheet applications of the dynamic optimization theory. The book also covers special complementary topics such as inventory modelling, data analysis for business and economics, and the essential elements of Monte Carlo analysis. Practical and accessible, Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization increases the computing power of economists worldwide. This book is accompanied by a companion website that includes Excel examples presented in the book, exercises, and other supplementary materials that will further assist in understanding this useful framework. Explains how Excel provides a practical numerical approach to optimization theory and analytics Increases access to the economic applications of this universally-available, relatively simple software program Encourages readers to go to the core of theoretical continuous calculations and learn more about optimization processes