Mathematical Economics Of Multi Level Optimisation

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Mathematical Economics of Multi-Level Optimisation

Author : Sardar M.N. Islam
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642499494

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Mathematical Economics of Multi-Level Optimisation by Sardar M.N. Islam Pdf

Since there exists a multi-level policy making system in the market economies, choices of decision makers at different levels should be considered explicitly in the formulation of sectoral plans and policies. To support the hypothesis, a theoretical energy planning approach is developed within the framework of the theory of economic policy planning, policy systems analysis and multi-level programming. The Parametric Programming Search Algorithm has been developed. On the basis of this theoretical model, an Australian Energy Policy System Optimisation Model (AEPSOM) has been developed and is used to formulate an Australian multi-level energy plan.

Mathematical Optimization and Economic Theory

Author : Michael D. Intriligator
Publisher : SIAM
Page : 515 pages
File Size : 43,6 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 9780898715118

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Mathematical Optimization and Economic Theory by Michael D. Intriligator Pdf

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

Approximation, Optimization and Mathematical Economics

Author : Marc Lassonde
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642575921

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Approximation, Optimization and Mathematical Economics by Marc Lassonde Pdf

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.

Multilevel Optimization: Algorithms and Applications

Author : A. Migdalas,Panos M. Pardalos,Peter Värbrand
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 53,9 Mb
Release : 1998
Category : Computers
ISBN : 0792346939

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Multilevel Optimization: Algorithms and Applications by A. Migdalas,Panos M. Pardalos,Peter Värbrand Pdf

Sixteen chapters explore the mathematics of multilevel programming in decision procedures. Hierarchy structures are found in governmental decision making with regard to land-use and economic planning, as well as a number of scientific disciplines, including environmental studies, ecology, biology, mechanics, and classification theory. The majority of the papers were selected form the November, 1995 Bilevel Programming Workshop, and treat such topics as: the relationship between linear optimization over the efficient set and the bilevel linear programming problem; characterizations of globally and locally optimal solutions in parametric convex lexicographic optimization, and a number of other issues. Annotation copyrighted by Book News, Inc., Portland, OR

Mathematical Optimization and Economic Analysis

Author : Mikulás Luptácik
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 55,7 Mb
Release : 2008-11-01
Category : Mathematics
ISBN : 9780387896021

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Mathematical Optimization and Economic Analysis by Mikulás Luptácik Pdf

"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.

Calculus and Techniques of Optimization with Microeconomic Applications

Author : John Hoag
Publisher : World Scientific
Page : 389 pages
File Size : 47,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812774934

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Calculus and Techniques of Optimization with Microeconomic Applications by John Hoag Pdf

This textbook is designed as a guide for students of mathematical economics, with the aim of providing them with a firm foundation for further studies in economics. A substantial portion of the mathematical tools required for the study of microeconomics at the graduate level is covered, in addition to the standard elements of microeconomics and various applications. Theorems and definitions are clearly explained with numerous exercises to complement the text and to help the student better understand and master the principles of mathematical economics.

Dynamic Optimization and Mathematical Economics

Author : Pan-Tai Liu
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 53,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781468435726

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Dynamic Optimization and Mathematical Economics by Pan-Tai Liu Pdf

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.

Optimisation in Economic Analysis

Author : Gordon Mills
Publisher : Routledge
Page : 208 pages
File Size : 45,5 Mb
Release : 2014-04-04
Category : Business & Economics
ISBN : 9781317833635

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Optimisation in Economic Analysis by Gordon Mills Pdf

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.

Optimization in Economics and Finance

Author : Bruce D. Craven,Sardar M. N. Islam
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 50,7 Mb
Release : 2005
Category : Business & Economics
ISBN : 0387242791

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Optimization in Economics and Finance by Bruce D. Craven,Sardar M. N. Islam Pdf

Extends the optimization techniques, in a form that may be adopted for modeling social choice problems. The models in this book provide possible models for a society's social choice for an allocation that maximizes welfare and utilization of resources. A computer program SCOM is presented here for computing social choice models by optimal control.

Optimization in Economic Theory

Author : Avinash K. Dixit
Publisher : Oxford University Press, USA
Page : 204 pages
File Size : 45,8 Mb
Release : 1990
Category : Economics, Mathematical
ISBN : 0198772106

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Optimization in Economic Theory by Avinash K. Dixit Pdf

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.

Mathematics of Multi Objective Optimization

Author : P. Serafini
Publisher : Springer
Page : 437 pages
File Size : 51,8 Mb
Release : 2014-05-04
Category : Mathematics
ISBN : 9783709128220

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Mathematics of Multi Objective Optimization by P. Serafini Pdf

Multi-level Mixed-Integer Optimization

Author : Styliani Avraamidou,Efstratios Pistikopoulos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 139 pages
File Size : 45,9 Mb
Release : 2022-06-06
Category : Technology & Engineering
ISBN : 9783110760385

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Multi-level Mixed-Integer Optimization by Styliani Avraamidou,Efstratios Pistikopoulos Pdf

This book provides the fundamental underlying mathematical theory, numerical algorithms and effi cient computational tools for the solution of multi-level mixedinteger optimization problems. It can enable a vast array of decision makers and engineers (e.g. process engineers, bioengineers, chemical and civil engineers, and economists) to model, formulate and solve hierarchical decision making problems. The book gives detailed insights on multi-level optimization by comprehensive explanations, step-by-step numerical examples and case studies, plots, and diagrams.

Elements of Optimization

Author : Delia Koo
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 52,6 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781461263586

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Elements of Optimization by Delia Koo Pdf

This book attempts to present the concepts which underlie the various optimization procedures which are commonly used. It is written primarily for those scientists such as economists, operations researchers, and en gineers whose main tools of analysis involve optimization techniques and who possess a (not very sharp) knowledge of one or one-and-a-half year's calculus through partial differentiation and Taylor's theorem and some acquaintance with elementary vector and matrix terminology. Such a scientist is frequently confronted with expressions such as Lagrange multi pliers, first-and second-order conditions, linear programming and activity analysis, duality, the Kuhn-Tucker conditions, and, more recently, dy namic programming and optimal control. He or she uses or needs to use these optimization techniques, and would like to feel more comfortable with them through better understanding of their underlying mathematical concepts, but has no immediate use for a formal theorem-proof treatment which quickly abstracts to a general case of n variables and uses a style and terminology that are discouraging to people who are not mathematics majors. The emphasis of this book is on clarity and plausibility. Through examples which are worked out step by step in detail, I hope to illustrate some tools which will be useful to scientists when they apply optimization techniques to their problems. Most of the chapters may be read independently of each other-with the exception of Chapter 6, which depends on Chapter 5. For instance, the reader will find little or no difficulty in reading Chapter 8 without having read the previous chapters.

Mathematics for Stability and Optimization of Economic Systems

Author : Yasuo Murata
Publisher : Academic Press
Page : 439 pages
File Size : 51,5 Mb
Release : 2014-05-10
Category : Business & Economics
ISBN : 9781483271293

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Mathematics for Stability and Optimization of Economic Systems by Yasuo Murata Pdf

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.