Variational Methods In Economics


Variational Methods In Economics
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Variational Methods In Economics


Variational Methods In Economics
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Author : G. Hadley
language : en
Publisher: Elsevier
Release Date : 2014-07-22

Variational Methods In Economics written by G. Hadley and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Business & Economics categories.


Advanced Textbooks in Economics, Volume 1: Variational Methods in Economics focuses on the application of variational methods in economics, including autonomous system, dynamic programming, and phase spaces and diagrams. The manuscript first elaborates on growth models in economics and calculus of variations. Discussions focus on connection with dynamic programming, variable end points-free boundaries, transversality at infinity, sensitivity analysis-end point changes, Weierstrass and Legendre necessary conditions, and phase diagrams and phase spaces. The text then ponders on the constraints of classical theory, including unbounded intervals of integration, free boundary conditions, comparison functions, normality, and the problem of Bolza. The publication explains two-sector models of optimal economic growth, optimal control theory, and connections with the classical theory. Topics include capital good immobile between industries, constrained state variables, linear control problems, conversion of a control problem into a problem of Lagrange, and the conversion of a nonautonomous system into an autonomous system. The book is a valuable source of information for economists and researchers interested in the variational methods in economics.



Variational Methods In Economics


Variational Methods In Economics
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Author : George Hadley
language : en
Publisher:
Release Date : 1971

Variational Methods In Economics written by George Hadley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Calculus of variations categories.




Variational Methods In Economics


Variational Methods In Economics
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Author : G. Hadley
language : en
Publisher:
Release Date : 1971

Variational Methods In Economics written by G. Hadley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.




Network Economics


Network Economics
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Author : Anna Nagurney
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Network Economics written by Anna Nagurney 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 2013-03-09 with Business & Economics categories.


Since the publication of the first edition of Network Economics: A Variational Inequality Approach in 1993, there have been many ad vances in both methodological developments, as well as, applications in this field. These have occurred in an environment of an increasingly networked global economy, in which the importance of transportation networks and communication networks is now well-recognized, with net works such as knowledge networks, environmental networks, and finan cial networks receiving growing attention. This edition adds recent research progress in new and evolving ar eas of network economics through common and unifying principles. In addition, it includes dynamic models of traffic, of spatially separated markets, of oligopolistic markets, and of financial markets. In order to expand the range and reach of this material, we have also included a series of problems in an appendix for self-study purposes and for use in the classroom. We note that computational economics has been at the forefront in stimulating the development of mathematical methodologies for the analysis and solution of complex, large-scale problems. The past fifteen years, in particular, have witnessed a dramatic growth of interest in this area. Supported by the increasing availability of data and by advances in computer architectures, the scale and dimensions of problems that can now be handled are unveiling new horizons in both theoretical modeling and policy analysis.



Combined Relaxation Methods For Variational Inequalities


Combined Relaxation Methods For Variational Inequalities
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Author : Igor Konnov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Combined Relaxation Methods For Variational Inequalities written by Igor Konnov 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 2012-12-06 with Business & Economics categories.


Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.



Variational Analysis And Generalized Differentiation I


Variational Analysis And Generalized Differentiation I
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-08

Variational Analysis And Generalized Differentiation I written by Boris S. Mordukhovich 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 2006-08-08 with Mathematics categories.


Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.



Variational Analysis And Generalized Differentiation Ii


Variational Analysis And Generalized Differentiation Ii
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer
Release Date : 2009-09-02

Variational Analysis And Generalized Differentiation Ii written by Boris S. Mordukhovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.


Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.



Techniques Of Variational Analysis


Techniques Of Variational Analysis
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Author : Jonathan Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-18

Techniques Of Variational Analysis written by Jonathan Borwein 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 2006-06-18 with Mathematics categories.


Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis Provides a good introduction to the topic



Variational Analysis And Generalized Differentiation I


Variational Analysis And Generalized Differentiation I
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer
Release Date : 2012-10-28

Variational Analysis And Generalized Differentiation I written by Boris S. Mordukhovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-28 with Mathematics categories.


Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.



Variational Methods For Engineers With Matlab


Variational Methods For Engineers With Matlab
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Author : Eduardo Souza de Cursi
language : en
Publisher: John Wiley & Sons
Release Date : 2015-10-02

Variational Methods For Engineers With Matlab written by Eduardo Souza de Cursi 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 2015-10-02 with Mathematics categories.


This book is issued from a 30 years’ experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are presented. MATLAB programs illustrate the implementation and make the book suitable as a textbook and for self-study. The evolution of knowledge, of the engineering studies and of the society in general has led to a change of focus from students and researchers. New generations of students and researchers do not have the same relations to mathematics as the previous ones. In the particular case of variational methods, the presentations used in the past are not adapted to the previous knowledge, the language and the centers of interest of the new generations. Since these methods remain a core knowledge – thus essential - in many fields (Physics, Engineering, Applied Mathematics, Economics, Image analysis ...), a new presentation is necessary in order to address variational methods to the actual context.