Convex Structures And Economic Theory PDF Download
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| Author | : Hukukane Nikaido |
| Publisher | : Elsevier |
| Total Pages | : 422 |
| Release | : 2016-06-03 |
| Genre | : Mathematics |
| ISBN | : 1483266680 |
Download Convex Structures and Economic Theory Book in PDF, ePub and Kindle
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.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 1997 |
| Genre | : |
| ISBN | : |
Download Convex Structures and Economic Theory Book in PDF, ePub and Kindle
| Author | : H.. Nikado |
| Publisher | : |
| Total Pages | : 408 |
| Release | : 1968 |
| Genre | : |
| ISBN | : |
Download Mathematics in Science and Engineering Book in PDF, ePub and Kindle
| Author | : M.L.J. van de Vel |
| Publisher | : Elsevier |
| Total Pages | : 556 |
| Release | : 1993-08-02 |
| Genre | : Mathematics |
| ISBN | : 0080933106 |
Download Theory of Convex Structures Book in PDF, ePub and Kindle
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.
| Author | : Monique Florenzano |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 161 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642565220 |
Download Finite Dimensional Convexity and Optimization Book in PDF, ePub and Kindle
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.
| Author | : J. Kriens |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 146 |
| Release | : 2012-12-06 |
| Genre | : Business & Economics |
| ISBN | : 3642953425 |
Download Convex Analysis and Mathematical Economics Book in PDF, ePub and Kindle
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.
| Author | : Jacobus Kriens |
| Publisher | : |
| Total Pages | : 148 |
| Release | : 1979-05-01 |
| Genre | : |
| ISBN | : 9783642953439 |
Download Convex Analysis and Mathematical Economics Book in PDF, ePub and Kindle
| Author | : Nicolas Hadjisavvas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 684 |
| Release | : 2006-01-16 |
| Genre | : Mathematics |
| ISBN | : 0387233938 |
Download Handbook of Generalized Convexity and Generalized Monotonicity Book in PDF, ePub and Kindle
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.
| Author | : Ross M. Starr |
| Publisher | : Academic Press |
| Total Pages | : 364 |
| Release | : 2014-05-10 |
| Genre | : Business & Economics |
| ISBN | : 1483273512 |
Download General Equilibrium Models of Monetary Economies Book in PDF, ePub and Kindle
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.
| Author | : Ken Urai |
| Publisher | : World Scientific |
| Total Pages | : 311 |
| Release | : 2010-05-13 |
| Genre | : Mathematics |
| ISBN | : 9814469181 |
Download Fixed Points And Economic Equilibria Book in PDF, ePub and Kindle
This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.
