The Econometrics Of Duality
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The Econometrics Of Duality
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Author : Paul Joseph Driscoll
language : en
Publisher:
Release Date : 1988
The Econometrics Of Duality written by Paul Joseph Driscoll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Duality theory (Mathematics) categories.
Duality And Modern Economics
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Author : Richard Cornes
language : en
Publisher: Cambridge University Press
Release Date : 1992-02-28
Duality And Modern Economics written by Richard Cornes 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 1992-02-28 with Business & Economics categories.
Dual arguments have become a standard tool for analysis of problems involving optimization by consumers and producers. The principal aim of this book is to provide a fairly systematic yet simple exposition of the basic structure of such arguments. The emphasis is not on providing mathematically general proofs; instead, a geometric approach is used to provide, in an informal way, an intuitive understanding of duality theory. This book introduces the most common alternative ways of representing preferences and technologies, such as indirect utility and distance functions, expenditure and cost functions, and profit and revenue functions. and it discusses the assumptions under which alternative formulations contain precisely the same information. Results such as Roy's identity. the Hotelling-Wold identity, and Shephard's lemma are fully explained. as are their roles in facilitating analysis of behaviour.
Duality Separability And Functional Structure
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Author : Charles Blackorby
language : en
Publisher:
Release Date : 1977
Duality Separability And Functional Structure written by Charles Blackorby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Economics categories.
Multi Output Production And Duality Theory And Applications
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Author : Rolf Färe
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Multi Output Production And Duality Theory And Applications written by Rolf Färe 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.
Our original reason for writing this book was the desire to write down in one place a complete summary of the major results in du ality theory pioneered by Ronald W. Shephard in three of his books, Cost and Production Functions (1953), Theory of Cost and Produc tion Functions (1970), and Indirect Production Functions (1974). In this way, newcomers to the field would have easy access to these important ideas. In adg,ition, we report a few new results of our own. In particular, we show the duality relationship between the profit function and the eight equivalent representations of technol ogy that were elucidated by Shephard. However, in planning the book and discussing it with colleagues it became evident that such a book would be more useful if it also provided a number of applications of Shephard's duality theory to economic problems. Thus, we have also attempted to present exam ples of the use of duality theory in areas such as efficiency measure ment, index number theory, shadow pricing, cost-benefit analysis, and econometric estimation. Much of our thinking about duality theory and its uses has been influenced by our present and former collaborators. They include Charles Blackorby, Shawna Grosskopf, Knox Lovell, Robert Russell, and, not surprisingly, Ronald W. Shephard. We have also benefit ted over the years from many discussions with W. Erwin Diewert.
Duality Separability And Functional Structure
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Author : Charles Blackorby
language : en
Publisher: North Holland
Release Date : 1978
Duality Separability And Functional Structure written by Charles Blackorby and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Business & Economics categories.
Dynamic Duality In Resource Economics Theory And Empirical Usefulness
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Author : Lasserre, Pierre
language : en
Publisher: Montréal : Dép. de science économique, Université de Montréal
Release Date : 1988
Dynamic Duality In Resource Economics Theory And Empirical Usefulness written by Lasserre, Pierre and has been published by Montréal : Dép. de science économique, Université de Montréal this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Duality theory (Mathematics) categories.
The Theory Of Duality International Trade
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Author : Pasquale M. Sgro
language : en
Publisher:
Release Date : 1986
The Theory Of Duality International Trade written by Pasquale M. Sgro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Business & Economics categories.
Cones And Duality
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Author : Charalambos D. Aliprantis
language : en
Publisher: American Mathematical Soc.
Release Date : 2007-06-12
Cones And Duality written by Charalambos D. Aliprantis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-12 with Mathematics categories.
Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. Before the 1950s, ordered vector spaces appeared in the literature in a fragmented way. Their systematic study began around the world after 1950 mainly through the efforts of the Russian, Japanese, German, and Dutch schools. Since cones are being employed to solve optimization problems, the theory of ordered vector spaces is an indispensable tool for solving a variety of applied problems appearing in several diverse areas, such as engineering, econometrics, and the social sciences. For this reason this theory plays a prominent role not only in functional analysis but also in a wide range of applications. This is a book about a modern perspective on cones and ordered vector spaces. It includes material that has not been presented earlier in a monograph or a textbook. With many exercises of varying degrees of difficulty, the book is suitable for graduate courses. Most of the new topics currently discussed in the book have their origins in problems from economics and finance. Therefore, the book will be valuable to any researcher and graduate student who works in mathematics, engineering, economics, finance, and any other field that uses optimization techniques.
Axiomatic Choice Models And Duality
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Author : H.N. Weddepohl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Axiomatic Choice Models And Duality written by H.N. Weddepohl 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.
Every day people frequently have to make a choice. For practical and scientific reasons therefore it is interesting to know what choices they make and how they arrive at them. An approach to this question can be made via psychology. However, it is also possible to approach it on a more formal basis. In this book Dr. Wedde pohl describes the logical structure of an individual's rational choice. It is this formal, logical approach to the decision problem that makes the book interesting reading matter for all those who are engaged in the study of individual choice. The introduction apart this study may be divided into two parts. The first part, consisting of chapters II and III, deals with choice theory on a very abstract level. In chapter II some mathematical concepts are presented and in chapter III two related choice models are treated, the first one based on preferences, the second one on choice functions. The second part consists of chapters IV, V and VI and covers consumer choice theory. After the pre sentation of the mathematical tools, two models that are extensions of the models of chapter III are dealt with. In the discussion of consumer choice theory the concept of duality plays an important role and it is found that duality is closely related to the notion of favourability introduced in chap ter II I. Mr. Weddepohl's study forms an introduction to a larger research project to develop the theory of collective choice.
Convexity And Duality In Optimization
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Author : Jacob Ponstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Convexity And Duality In Optimization written by Jacob Ponstein 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.
The analysis and optimization of convex functions have re ceived a great deal of attention during the last two decades. If we had to choose two key-words from these developments, we would retain the concept of ~ubdi66~e~ and the duality theo~y. As it usual in the development of mathematical theories, people had since tried to extend the known defi nitions and properties to new classes of functions, including the convex ones. For what concerns the generalization of the notion of subdifferential, tremendous achievements have been carried out in the past decade and any rna·· thematician who is faced with a nondifferentiable nonconvex function has now a panoply of generalized subdifferentials or derivatives at his disposal. A lot remains to be done in this area, especially concerning vecto~-valued functions ; however we think the golden age for these researches is behind us. Duality theory has also fascinated many mathematicians since the underlying mathematical framework has been laid down in the context of Convex Analysis. The various duality schemes which have emerged in the re cent years, despite of their mathematical elegance, have not always proved as powerful as expected.