Topological Methods in Walrasian Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642658008
Total Pages : 137 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Topological Methods in Walrasian Economics by : E. Dierker

Download or read book Topological Methods in Walrasian Economics written by E. Dierker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: In winter 71/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo mics at the university of Bonn , w.Germany1~ The economists , how ever , had a mathematical background well above the average • Most of the material treated in that seminar is described in these notes. The connection between smooth preferences and smooth demand func tions [ see Debreu (1972) ] and regular economies based on agents with smooth preferences are not presented here • Some pedagogical difficulties arose from the fact that elementary knowledge of algebraic topology is not assumed although it is helpful and indeed necessary to make some arguments precise • It is only a minor restriction , at present , that functional ana lysis is not used • But with the development of the theory more economic questions will be considered in their natural infinite dimensional setting • Economic knowledge is not required , but especially a reader without economic background will gain much by reading Debreu's classic "Theory of Value" (1959) • Although the formulation of our economic problem uses a map between Euclidean spaces only , we shall also consider ma- folds • Manifolds appear in our situation because inverse images under differentiable mappings between Euclidean spaces are very often differentiable manifolds • ( Under differentiability assump tions , for instance , the graph of the equilibrium set correspon

Topological Methods in Walrasian Economics

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Publisher : Berlin ; New York : Springer-Verlag
ISBN 13 : 9780387066226
Total Pages : 0 pages
Book Rating : 4.0/5 (662 download)

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Book Synopsis Topological Methods in Walrasian Economics by : Egbert Dierker

Download or read book Topological Methods in Walrasian Economics written by Egbert Dierker and published by Berlin ; New York : Springer-Verlag. This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Methods in Walrasian Economics [By] E. Dierker

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Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Topological Methods in Walrasian Economics [By] E. Dierker by : Egbert Dierker

Download or read book Topological Methods in Walrasian Economics [By] E. Dierker written by Egbert Dierker and published by . This book was released on 1974 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Economics and Social Choice

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Publisher : Springer Science & Business Media
ISBN 13 : 3642398189
Total Pages : 269 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Mathematical Methods in Economics and Social Choice by : Norman Schofield

Download or read book Mathematical Methods in Economics and Social Choice written by Norman Schofield and published by Springer Science & Business Media. This book was released on 2013-10-11 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

Mathematical Methods in Economics and Social Choice

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Publisher : Studies in Economic Theory
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematical Methods in Economics and Social Choice by : Norman Schofield

Download or read book Mathematical Methods in Economics and Social Choice written by Norman Schofield and published by Studies in Economic Theory. This book was released on 2003-02-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

Mathematical Methods in Economics

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Publisher : Routledge
ISBN 13 : 1351140426
Total Pages : 239 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Mathematical Methods in Economics by : Norman Schofield

Download or read book Mathematical Methods in Economics written by Norman Schofield and published by Routledge. This book was released on 2018-03-05 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1984. Since the logic underlying economic theory can only be grasped fully by a thorough understanding of the mathematics, this book will be invaluable to economists wishing to understand vast areas of important research. It provides a basic introduction to the fundamental mathematical ideas of topology and calculus, and uses these to present modern singularity theory and recent results on the generic existence of isolated price equilibria in exchange economies.

Topological Methods for Set-valued Nonlinear Analysis

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Publisher : World Scientific
ISBN 13 : 9812791469
Total Pages : 627 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Topological Methods for Set-valued Nonlinear Analysis by : Enayet Ullah Tarafdar

Download or read book Topological Methods for Set-valued Nonlinear Analysis written by Enayet Ullah Tarafdar and published by World Scientific. This book was released on 2008 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the authors'' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems. Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings. Sample Chapter(s). Chapter 1: Introduction (162 KB). Contents: Contraction Mappings; Some Fixed Point Theorems in Partial Ordered Sets; Topological Fixed Point Theorems; Variational and Quasivariational Inequalities in Topological Vector Spaces and Generalized Games; Best Approximation and Fixed Point Theorems for Set-Valued Mappings in Topological Vector Spaces; Degree Theory for Set-Valued Mappings; Nonexpansive Types of Mappings and Fixed Point Theorems in Locally Convex Topological Vector Spaces. Readership: Graduate students and researchers in mathematics, economics, finance and engineering.

Topology and Markets

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Publisher : American Mathematical Soc.
ISBN 13 : 0821810715
Total Pages : 124 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology and Markets by : Graciela Chichilnisky

Download or read book Topology and Markets written by Graciela Chichilnisky and published by American Mathematical Soc.. This book was released on 1998 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of a workshop on geometry, topology, and markets held at The Fields Institute. The workshop was attended by eminent mathematicians and financial and economic theorists. Using a topological approach, the volume discusses new mathematics and its applications to social sciences and financial markets. Topics addressed at the workshop included new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and co-operative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial markets.

Topological Methods in Cardinal Utility Theory

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Topological Methods in Cardinal Utility Theory by : Gerard Debreu

Download or read book Topological Methods in Cardinal Utility Theory written by Gerard Debreu and published by . This book was released on 1959 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Information Structures in Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642464475
Total Pages : 246 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Information Structures in Economics by : M. Nermuth

Download or read book Information Structures in Economics written by M. Nermuth and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a contribution to the theory of markets with imperfect information. The subject being nearly limitless, only certain selected topics are discussed. These are outlined in the Introduction (Ch. 0). The remainder of the book is divided into three parts. All results of economic significance are contained in Parts II & III. Part I introduces the main tools for the analysis, in particular the concept of an information structure. Although most of the material presented in Part I is not original, it is hoped that the detailed and self-contained exposition will help the reader to understand not only the following pages, but also the existing technical and variegated literature on markets with imperfect information. The mathematical prerequisites needed, but not explained in the text rarely go beyond elementary calculus and probability theory. Whenever more advanced concepts are used, I have made an effort to give an intuitive explanation as well, so that the argument can also be followed on a non-technical level (cf. e.g. the treatment of the "generic" viewpoint in Ch. 9). In the same spirit, discussion of mathematical assumptions is limited to those which have economic sig- ficance, whereas purely "technical" assumptions (like differentiability or integrability of certain functions) are usually made without comment whenever convenient. The logical interdependence of chapters is as follows: Ch. 3 . Ch. 1 /~I--=---- Ch. 4 Ch. 2 Ch. 8 ~I -=--- /"'-.... Ch.

Routledge Library Editions: Monetary Economics

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Publisher : Routledge
ISBN 13 : 1351674579
Total Pages : 2032 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Routledge Library Editions: Monetary Economics by : Various

Download or read book Routledge Library Editions: Monetary Economics written by Various and published by Routledge. This book was released on 2021-06-23 with total page 2032 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volumes in this set, originally published between 1934 and 1994, draw together research by leading academics in the area of monetary economics and provides a rigorous examination of related key issues. The volumes examine monetary management and policy, equilibrium theory and credit rationing, as well as the general principles and practices of monetary economics. This set will be of particular interest to students of economics and finance.

Economic Dynamics and General Equilibrium

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Publisher : Springer Science & Business Media
ISBN 13 : 3662051974
Total Pages : 407 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Economic Dynamics and General Equilibrium by : Anders Borglin

Download or read book Economic Dynamics and General Equilibrium written by Anders Borglin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The developments of economic theory in the 1950s served to pinpoint important underlying assumptions in the study of market institutions. The conflict between observed institutions and the benchmark interpretation became apparent. This led to the introduction of new equilibrium concepts. The emphasis was on the possibilities to transfer purchasing power over time using spot markets involving assets or money. This advanced textbook focuses on the developments in the theory of incomplete markets and overlapping generations economies where income transfers over time are restricted either by available assets or by the unfeasibility of contracts with unborn generations. It bridges the gap between standard textbooks on microeconomics and more advanced expositions. Contains diagrams, examples and exercises.

Cost and Production Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 3642515789
Total Pages : 116 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Cost and Production Functions by : R.W. Shephard

Download or read book Cost and Production Functions written by R.W. Shephard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study is the result of an interest in the economic theory of production intermittently pursued during the past three years. Over this period I have received substantial support from the Office of Naval Research, first from a personal service consulting contract directly with the Mathematics Division of the Office of Naval Research and secondly from Project N6 onr-27009 at Princeton Univer sity under the direction of Professor Oskar Morgenstern. Grateful acknowledgement is made to the ·Office of Naval Research for this support and to Professor Morgenstern, in particular, for his interest in the puolication of this research. The responsibility for errors and omissions, how ever, rests entirely upon the author. Professor G. C. Evans has given in terms of a simple total cost function, depending solely upon output rate, a treatment of certain aspects of the economic theory of production which has inherent generality and convenience of formulation. The classical approach of expressing the technology of production by means of a production function is potentially less restrictive than the use of a simple total cost function, but it has not been applied in a more general form other than to derive the familiar conditions between marginal productivities of the factors of produc tion and their market prices.

Nonlinear Programming Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642464246
Total Pages : 253 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Nonlinear Programming Codes by : Klaus Schittkowski

Download or read book Nonlinear Programming Codes written by Klaus Schittkowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Barriers to Entry

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Publisher : Springer Science & Business Media
ISBN 13 : 3642464262
Total Pages : 227 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Barriers to Entry by : C.C.v. Weizsäcker

Download or read book Barriers to Entry written by C.C.v. Weizsäcker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: I was originally induced to think about barriers to entry by some re search done for Charles River Associates, Inc., Boston, on behalf of their client IBM Corporation, Armonk, N.Y. After the end of this re search project I continued to work on entry barriers and related is sues of market structure. The results of this effort are reported here. What I present is not a book in the traditional sense of the word. Due to other research and administrative obligations I could not, without substantial delay, present a more finished product. The rapid progress in the field of industrial organisation theory made me fear that my results could become obsolete if I further waited with their publica tion. I hope that the early presentation of a progress report rather than a much later publication of a finished product is not only in my interest but also in the interest of economics.

Stochastic Dynamic Properties of Linear Econometric Models

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Publisher : Springer Science & Business Media
ISBN 13 : 3642953794
Total Pages : 163 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Stochastic Dynamic Properties of Linear Econometric Models by : J. Wolters

Download or read book Stochastic Dynamic Properties of Linear Econometric Models written by J. Wolters and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Test Examples for Nonlinear Programming Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 3642483208
Total Pages : 188 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Test Examples for Nonlinear Programming Codes by : W. Hock

Download or read book Test Examples for Nonlinear Programming Codes written by W. Hock and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: ................................................................. The performance of a nonlinear programming algorithm can only be ascertained by numerical experiments requiring the collection and implementation of test examples in dependence upon the desired performance criterium. This book should be considered as an assis tance for a test designer since it presents an extensive collec tion of nonlinear programming problems which have been used in the past to test or compare optimization programs. He will be in formed about the optimal solution, about the structure of the problem in the neighbourhood of the solution, and, in addition, about the usage of the corresp,onding FORTRAN subroutines if he is interested in obtaining them -ofi a magnetic tape. Chapter I shows how the test examples are documented. In par ticular, the evaluation of computable information about the solu tion of a problem is outlined. It is explained how the optimal solution, the optimal Lagrange-multipliers, and the condition number of the projected Hessian of the Lagrangian are obtained. Furthermore, a classification number is defined allowing a formal description of a test problem, and the documentation scheme is described which is used in Chapter IV to present the problems.