Mathematical Optimization And Economic Analysis
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Mathematical Optimization And Economic Analysis
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Author : Mikulás Luptácik
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Mathematical Optimization And Economic Analysis written by Mikulás Luptácik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-03 with Mathematics categories.
"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.
Mathematical Optimization And Economic Analysis
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Author : Mikuláš Luptáčik
language : en
Publisher: Springer
Release Date : 2025-12-21
Mathematical Optimization And Economic Analysis written by Mikuláš Luptáčik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-12-21 with Mathematics categories.
This book offers a comprehensive exploration of mathematical optimization and its critical role in economic analysis. As the scarcity of resources, environmental degradation, and the effects of industrial robots and artificial intelligence (AI) become ever-pressing issues, this second edition expands on the foundational theories of static optimization to include dynamic optimization and new applications in areas such as automation and sustainability. The authors examine key concepts such as the optimal allocation of resources, the interplay between economic growth and environmental impacts, and the integration of automation in production systems. As renowned experts in the field, the authors provide a robust framework for understanding single and multi-objective optimization models as well as dynamic optimization in continuous and discrete time, emphasizing their use in qualitative analysis. This second edition offers deep insights into investment strategies and resource management over time, making it an indispensable resource for those seeking to navigate the complexities of modern economic landscapes. Ideal for graduate students, university educators, and researchers in economics, business, and operations research, this book bridges the gap between theoretical rigor and practical application. It is also a valuable resource for practitioners and students of applied mathematics interested in economic applications.
Optimisation In Economic Analysis
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Author : Gordon Mills
language : en
Publisher: Routledge
Release Date : 2014-04-04
Optimisation In Economic Analysis written by Gordon Mills and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-04 with Business & Economics categories.
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.
Mathematical Analysis And Optimization For Economists
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Author : Michael J. Panik
language : en
Publisher: CRC Press
Release Date : 2021-09-30
Mathematical Analysis And Optimization For Economists written by Michael J. Panik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Mathematics categories.
In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.
Linear Programming And Economic Analysis
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Author : Robert Dorfman
language : en
Publisher: Courier Corporation
Release Date : 1987-01-01
Linear Programming And Economic Analysis written by Robert Dorfman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.
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.
Optimization And Stability Theory For Economic Analysis
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Author : Brian Beavis
language : en
Publisher: Cambridge University Press
Release Date : 1990
Optimization And Stability Theory For Economic Analysis written by Brian Beavis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Economics, Mathematical categories.
This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found). This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.
Mathematical Optimization And Economic Theory
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Author : Michael D. Intriligator
language : en
Publisher: SIAM
Release Date : 2002-01-01
Mathematical Optimization And Economic Theory written by Michael D. Intriligator and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
Generalized Convexity And Fractional Programming With Economic Applications
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Author : Alberto Cambini
language : en
Publisher: Springer
Release Date : 1990-07-10
Generalized Convexity And Fractional Programming With Economic Applications written by Alberto Cambini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-10 with Mathematics categories.
Generalizations of convex functions have been used in a variety of fields such as economics. business administration. engineering. statistics and applied sciences.· In 1949 de Finetti introduced one of the fundamental of generalized convex functions characterized by convex level sets which are now known as quasiconvex functions. Since then numerous types of generalized convex functions have been defined in accordance with the need of particular applications.· In each case such functions preserve soine of the valuable properties of a convex function. In addition to generalized convex functions this volume deals with fractional programs. These are constrained optimization problems which in the objective function involve one or several ratios. Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field. an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. 1988. Following conferences on similar topics in Vancouver. Canada in 1980 and in Canton. USA in 1986. it was the first such conference organized in Europe. It brought together 70 scientists from 11 countries. Organizers were Professor A. Cambini. University of Pisa. Professor E. Castagnoli. Bocconi University. Milano. Professor L. Martein. University of Pisa. Professor P. Mazzoleni. University of Verona and Professor S. Schaible. University of California. Riverside.
Mathematical Programming And Economic Analysis Of The Firm
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Author : Ching-wên Kʻuang
language : en
Publisher:
Release Date : 1971
Mathematical Programming And Economic Analysis Of The Firm written by Ching-wên Kʻuang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Business & Economics categories.
Economic Analysis And Operations Research
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Author : Jatikumar Sengupta
language : en
Publisher:
Release Date : 1969
Economic Analysis And Operations Research written by Jatikumar Sengupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Business & Economics categories.
Economic policy and operations research; Methods of linear programming: extension and applications; Nonlinear and dynamic programming; Sensitivity analysis in programming; Probabilistic programming methods; Models of firm behavior and other applications; Models of resource allocation and planning in educational institutions and systems; Models of decomposition or decentralization in firm behavior and economic policy; Operations research and complex social systems.