Optimisation And Stability Theory For Economic Analysis
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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.
Optimisation And Stability Theory For Economic Analysis
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Author : Brian Beavis
language : en
Publisher: Cambridge University Press
Release Date : 1990-02-22
Optimisation 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 1990-02-22 with Business & Economics categories.
This text presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability, both of which are central to economic analysis. Through extensive use of economic examples, the authors provide the economist with a feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. Although the text deals with fairly advanced material, the mathematical prerequisites are minimized 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.
Economic Geography And Public Policy
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Author : Richard Baldwin
language : en
Publisher: Princeton University Press
Release Date : 2011-10-16
Economic Geography And Public Policy written by Richard Baldwin and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-16 with Business & Economics categories.
Research on the spatial aspects of economic activity has flourished over the past decade due to the emergence of new theory, new data, and an intense interest on the part of policymakers, especially in Europe but increasingly in North America and elsewhere as well. However, these efforts--collectively known as the "new economic geography"--have devoted little attention to the policy implications of the new theory. Economic Geography and Public Policy fills the gap by illustrating many new policy insights economic geography models can offer to the realm of theoretical policy analysis. Focusing primarily on trade policy, tax policy, and regional policy, Richard Baldwin and coauthors show how these models can be used to make sense of real-world situations. The book not only provides much fresh analysis but also synthesizes insights from the existing literature. The authors begin by presenting and analyzing the widest range of new economic geography models to date. From there they proceed to examine previously unaddressed welfare and policy issues including, in separate sections, trade policy (unilateral, reciprocal, and preferential), tax policy (agglomeration with taxes and public goods, tax competition and agglomeration), and regional policy (infrastructure policies and the political economy of regional subsidies). A well-organized, engaging narrative that progresses smoothly from fundamentals to more complex material, Economic Geography and Public Policy is essential reading for graduate students, researchers, and policymakers seeking new approaches to spatial policy issues.
Public Transport Optimization
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Author : Konstantinos Gkiotsalitis
language : en
Publisher: Springer Nature
Release Date : 2023-01-20
Public Transport Optimization written by Konstantinos Gkiotsalitis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-20 with Business & Economics categories.
This textbook provides a comprehensive step-by-step guide for new public transport modelers. It includes an introduction to mathematical modeling, continuous and discrete optimization, numerical optimization, computational complexity analysis, metaheuristics, and multi-objective optimization. These tools help engineers and modelers to use better existing public transport models and also develop new models that can address future challenges. By reading this book, the reader will gain the ability to translate a future problem description into a mathematical model and solve it using an appropriate solution method. The textbook provides the knowledge needed to develop highly accurate mathematical models that can serve as decision support tools at the strategic, tactical, and operational planning levels of public transport services. Its detailed description of exact optimization methods, metaheuristics, bi-level, and multi-objective optimization approaches together with the detailed description of implementing these approaches in classic public transport problems with the use of open source tools is unique and will be highly useful to students and transport professionals.
Basic Mathematical Programming Theory
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Author : Giorgio Giorgi
language : en
Publisher: Springer Nature
Release Date : 2023-07-18
Basic Mathematical Programming Theory written by Giorgio Giorgi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with Business & Economics categories.
The subject of (static) optimization, also called mathematical programming, is one of the most important and widespread branches of modern mathematics, serving as a cornerstone of such scientific subjects as economic analysis, operations research, management sciences, engineering, chemistry, physics, statistics, computer science, biology, and social sciences. This book presents a unified, progressive treatment of the basic mathematical tools of mathematical programming theory. The authors expose said tools, along with results concerning the most common mathematical programming problems formulated in a finite-dimensional setting, forming the basis for further study of the basic questions on the various algorithmic methods and the most important particular applications of mathematical programming problems. This book assumes no previous experience in optimization theory, and the treatment of the various topics is largely self-contained. Prerequisites are the basic tools of differential calculus for functions of several variables, the basic notions of topology and of linear algebra, and the basic mathematical notions and theoretical background used in analyzing optimization problems. The book is aimed at both undergraduate and postgraduate students interested in mathematical programming problems but also those professionals who use optimization methods and wish to learn the more theoretical aspects of these questions.
Mathematical Methods And Models For Economists
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Author : Angel de la Fuente
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-28
Mathematical Methods And Models For Economists written by Angel de la Fuente 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 2000-01-28 with Business & Economics categories.
This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.
Optimization
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Author : H. Ronald Miller
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-29
Optimization written by H. Ronald Miller and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.
A thorough and highly accessible resource for analysts in a broadrange of social sciences. Optimization: Foundations and Applications presents a series ofapproaches to the challenges faced by analysts who must find thebest way to accomplish particular objectives, usually with theadded complication of constraints on the available choices.Award-winning educator Ronald E. Miller provides detailed coverageof both classical, calculus-based approaches and newer,computer-based iterative methods. Dr. Miller lays a solid foundation for both linear and nonlinearmodels and quickly moves on to discuss applications, includingiterative methods for root-finding and for unconstrainedmaximization, approaches to the inequality constrained linearprogramming problem, and the complexities of inequality constrainedmaximization and minimization in nonlinear problems. Otherimportant features include: More than 200 geometric interpretations of algebraic results,emphasizing the intuitive appeal of mathematics Classic results mixed with modern numerical methods to aidusers of computer programs Extensive appendices containing mathematical details importantfor a thorough understanding of the topic With special emphasis on questions most frequently asked by thoseencountering this material for the first time, Optimization:Foundations and Applications is an extremely useful resource forprofessionals in such areas as mathematics, engineering, economicsand business, regional science, geography, sociology, politicalscience, management and decision sciences, public policy analysis,and numerous other social sciences. An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
Microeconomics For The Critical Mind
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Author : Fabio Petri
language : en
Publisher: Springer Nature
Release Date : 2021-05-24
Microeconomics For The Critical Mind written by Fabio Petri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-24 with Business & Economics categories.
This textbook explains comprehensively and in rigorous detail not only mainstream microeconomics, but also why many economists are dissatisfied with major aspects of it, and the alternative that they are exploring in response: the Classical-Keynesian-Kaleckian approach. This advanced yet user-friendly book allows readers to grasp the standard theory of consumers, firms, imperfect competition, general equilibrium, uncertainty, games and asymmetric information. Furthermore, it examines the classical approaches to value and income distribution advocated by Adam Smith, David Ricardo and Karl Marx, as well as Post-Keynesian pricing theory, and the microeconomics of variable capacity utilization. Using simple models, it highlights the analytical roots of the important differences between the marginal/neoclassical approach and the classical-Keynesian, critically examining the plausibility and reciprocal consistency of their assumptions. The book also addresses various microeconomic issues not generally included in advanced microeconomics textbooks, including differential land rent, joint-production long-period pricing, capital theory from Walras to the Cambridge debates, the foundations of aggregate production functions, the microeconomics of labor markets, and the long-period theory of wages. Lastly, it presents a unique re-evaluation of welfare economics. Intended for advanced undergraduate and graduate microeconomics courses, this textbook offers a comprehensive introduction to the various approaches and different schools of thought currently competing in the context of economic theory. It can also be used in courses on value and distribution, heterodox economics, and the history of economic analysis. In the present situation, characterized by scientific uncertainty and the co-existence of competing approaches, it will stimulate students to form their own opinion as to which approach appears more promising from a scientific standpoint.
Artificial Neural Network Based Optimized Design Of Reinforced Concrete Structures
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Author : Won‐Kee Hong
language : en
Publisher: CRC Press
Release Date : 2023-01-11
Artificial Neural Network Based Optimized Design Of Reinforced Concrete Structures written by Won‐Kee Hong and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-11 with Technology & Engineering categories.
Artificial Neural Network-based Optimized Design of Reinforced Concrete Structures introduces AI-based Lagrange optimization techniques that can enable more rational engineering decisions for concrete structures while conforming to codes of practice. It shows how objective functions including cost, CO2 emissions, and structural weight of concrete structures are optimized either separately or simultaneously while satisfying constraining design conditions using an ANN-based Lagrange algorithm. Any design target can be adopted as an objective function. Many optimized design examples are verified by both conventional structural calculations and big datasets. Uniquely applies the new powerful tools of AI to concrete structural design and optimization Multi-objective functions of concrete structures optimized either separately or simultaneously Design requirements imposed by codes are automatically satisfied by constraining conditions Heavily illustrated in color with practical design examples The book suits undergraduate and graduate students who have an understanding of collegelevel calculus and will be especially beneficial to engineers and contractors who seek to optimize concrete structures.
Discrete Time Dynamic Economic Models
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Author : Brian Ferguson
language : en
Publisher: Routledge
Release Date : 2003-07-10
Discrete Time Dynamic Economic Models written by Brian Ferguson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-10 with Business & Economics categories.
Primarily of interest to upper level students carrying out economic modelling, this book bridges a gap between economics and econometric literature by introducing and developing the techniques of discrete time modelling.