Convex Structures And Economic Theory
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Convex Structures And Economic Theory
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Author : Hukukane Nikaido
language : en
Publisher: Elsevier
Release Date : 2016-06-03
Convex Structures And Economic Theory written by Hukukane Nikaido and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter. This volume includes examples of problems pertaining to interesting static and dynamic phenomena in linear and nonlinear economic systems, as well as models initiated by Leontief, von Neumann, and Walras. The topics covered are the mathematical theorems on convexity, simple multisector linear systems, balanced growth in nonlinear systems, and efficient allocation and growth. The working of Walrasian competitive economies, special features of competitive economies, and Jacobian matrix and global univalence are also covered. This publication is suitable for advanced students of mathematical economics and related fields, but is also beneficial for anyone who wishes to become familiar with the basic ideas, methods, and results in the mathematical treatment in economic theory through a detailed exposition of a number of typical representative problems.
Convex Structures And Economic Theory
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Author :
language : en
Publisher:
Release Date : 1997
Convex Structures And Economic Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Mathematics In Science And Engineering
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Author : H.. Nikado
language : en
Publisher:
Release Date : 1968
Mathematics In Science And Engineering written by H.. Nikado and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Finite Dimensional Convexity And Optimization
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Author : Monique Florenzano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finite Dimensional Convexity And Optimization written by Monique Florenzano 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 Mathematics categories.
This book discusses convex analysis, the basic underlying structure of argumentation in economic theory. Convex analysis is also common to the optimization of problems encountered in many applications. The text is aimed at senior undergraduate students, graduate students, and specialists of mathematical programming who are undertaking research into applied mathematics and economics. The text consists of a systematic development in eight chapters, and contains exercises. The book is appropriate as a class text or for self-study.
Theory Of Convex Structures
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Author : M.L.J. van de Vel
language : en
Publisher: Elsevier
Release Date : 1993-08-02
Theory Of Convex Structures written by M.L.J. van de Vel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-02 with Mathematics categories.
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is not restricted to the context of vector spaces. Classical concepts of order-convex sets (Birkhoff) and of geodesically convex sets (Menger) are directly inspired by intuition; they go back to the first half of this century. An axiomatic approach started to develop in the early Fifties. The author became attracted to it in the mid-Seventies, resulting in the present volume, in which graphs appear side-by-side with Banach spaces, classical geometry with matroids, and ordered sets with metric spaces. A wide variety of results has been included (ranging for instance from the area of partition calculus to that of continuous selection). The tools involved are borrowed from areas ranging from discrete mathematics to infinite-dimensional topology. Although addressed primarily to the researcher, parts of this monograph can be used as a basis for a well-balanced, one-semester graduate course.
Convex Analysis And Mathematical Economics
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Author : Jacobus Kriens
language : en
Publisher:
Release Date : 1979-05-01
Convex Analysis And Mathematical Economics written by Jacobus Kriens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-05-01 with categories.
Convex Analysis And Mathematical Economics
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Author : J. Kriens
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Convex Analysis And Mathematical Economics written by J. Kriens 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.
On February 20, 1978, the Department of Econometrics of the University of Tilburg organized a symposium on Convex Analysis and Mathematical th Economics to commemorate the 50 anniversary of the University. The general theme of the anniversary celebration was "innovation" and since an important part of the departments' theoretical work is con centrated on mathematical economics, the above mentioned theme was chosen. The scientific part of the Symposium consisted of four lectures, three of them are included in an adapted form in this volume, the fourth lec ture was a mathematical one with the title "On the development of the application of convexity". The three papers included concern recent developments in the relations between convex analysis and mathematical economics. Dr. P.H.M. Ruys and Dr. H.N. Weddepohl (University of Tilburg) study in their paper "Economic theory and duality", the relations between optimality and equilibrium concepts in economic theory and various duality concepts in convex analysis. The models are introduced with an individual facing a decision in an optimization problem. Next, an n person decision problem is analyzed, and the following concepts are defined: optimum, relative optimum, Nash-equilibrium, and Pareto-optimum.
Handbook Of Generalized Convexity And Generalized Monotonicity
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Author : Nicolas Hadjisavvas
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-16
Handbook Of Generalized Convexity And Generalized Monotonicity written by Nicolas Hadjisavvas 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 2006-01-16 with Mathematics categories.
Studies in generalized convexity and generalized monotonicity have significantly increased during the last two decades. Researchers with very diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are attracted to this fast growing field of study. Such enormous research activity is partially due to the discovery of a rich, elegant and deep theory which provides a basis for interesting existing and potential applications in different disciplines. The handbook offers an advanced and broad overview of the current state of the field. It contains fourteen chapters written by the leading experts on the respective subject; eight on generalized convexity and the remaining six on generalized monotonicity.
General Equilibrium Models Of Monetary Economies
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Author : Ross M. Starr
language : en
Publisher: Academic Press
Release Date : 2014-05-10
General Equilibrium Models Of Monetary Economies written by Ross M. Starr and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Business & Economics categories.
General Equilibrium Models of Monetary Economies: Studies in the Static Foundations of Monetary Theory is a collection of essays that addresses the integration of the theory of money and the theory of value by using a mathematical general equilibrium theory. The papers discuss monetary theory, microeconomic theory, bilateral trade, transactions costs, intertemporal allocation, and the value of money. The Arrow-Debreu model of Walrasian general equilibrium theory provides a framework to represent money as a device for facilitating trade among economic agents without the use of money as a medium of exchange and as a store of value. The essays analyze the rationale for using a medium of exchange, for using a store of value, and for holding of idle balances in equilibrium. The essays show that by explicit modeling of the structure and difficulties of trade, a powerful class of models which deny money and finance a role in the economy, has by itself shown to have provided the foundation for the structures of trade. The collection will prove helpful for economists, statistician, mathematicians, students or professors of economics and business.
Theory Of Cost And Production Functions
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Author : Ronald William Shephard
language : en
Publisher: Princeton University Press
Release Date : 2016-04-19
Theory Of Cost And Production Functions written by Ronald William Shephard 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 2016-04-19 with Business & Economics categories.
A sequel to his frequently cited Cost and Production Functions (1953), this book offers a unified, comprehensive treatment of these functions which underlie the economic theory of production. The approach is axiomatic for a definition of technology, by mappings of input vectors into subsets of output vectors that represent the unconstrained technical possibilities of production. To provide a completely general means of characterizing a technology, an alternative to the production function, called the Distance Function, is introduced. The duality between cost function and production function is developed by introducing a cost correspondence, showing that these two functions are given in terms of each other by dual minimum problems. The special class of production structures called Homothetic is given more general definition and extended to technologies with multiple outputs. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.