Manifolds Of Preferences And Equilibria

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Manifolds Of Preferences And Equilibria

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Author : Graciela Chichilnisky
language : en
Publisher:
Release Date : 1976

Manifolds Of Preferences And Equilibria written by Graciela Chichilnisky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Equilibrium (Economics) categories.

"This work is concerned with the study of local and global properties of spaces of preferences and their applications to general equilibrium, utility and demand analysis. Differential topology and global analysis tools are used to study the mathematical aspects of these problems, adding further results and techniques to an approach introduced in mathematical economics by Gerard Debreu in 1970"--Preface.

Manifolds Of Preferences And Equilibria

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Author : Graciela Chichilnisky
language : en
Publisher:
Release Date : 2009

Manifolds Of Preferences And Equilibria written by Graciela Chichilnisky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.

Manifolds of Preferences and Equilibria.

The Equilibrium Manifold

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Author : Yves Balasko
language : en
Publisher: MIT Press
Release Date : 2009-04-17

The Equilibrium Manifold written by Yves Balasko and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-17 with Business & Economics categories.

A leading scholar in the field presents post-1970s developments in the theory of general equilibrium, unified by the concept of equilibrium manifold. In The Equilibrium Manifold, noted economic scholar and major contributor to the theory of general equilibrium Yves Balasko argues that, contrary to what many textbooks want readers to believe, the study of the general equilibrium model did not end with the existence and welfare theorems of the 1950s. These developments, which characterize the modern phase of the theory of general equilibrium, led to what Balasko calls the postmodern phase, marked by the reintroduction of differentiability assumptions and the application of the methods of differential topology to the study of the equilibrium equation. Balasko's rigorous study demonstrates the central role played by the equilibrium manifold in understanding the properties of the Arrow-Debreu model and its extensions. Balasko argues that the tools of differential topology articulated around the concept of equilibrium manifold offer powerful methods for studying economically important issues, from existence and uniqueness to business cycles and economic fluctuations. After an examination of the theory of general equilibrium's evolution in the hundred years between Walras and Arrow-Debreu, Balasko discusses the properties of the equilibrium manifold and the natural projection. He highlights the important role of the set of no-trade equilibria, the structure of which is applied to the global structure of the equilibrium manifold. He also develops a geometric approach to the study of the equilibrium manifold. Applications include stability issues of adjustment dynamics for out-of-equilibrium prices, the introduction of price-dependent preferences, and aspects of time and uncertainty in extensions of the general equilibrium model that account for various forms of market frictions and imperfections. Special effort has been made at reducing the mathematical technicalities without compromising rigor. The Equilibrium Manifold makes clear the ways in which the postmodern” developments of the Arrow-Debreu model improve our understanding of modern market economies.

Representations Of Preferences Orderings

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Author : Douglas S. Bridges
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Representations Of Preferences Orderings written by Douglas S. Bridges 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.

This monograph is devoted to a rigorous presentation of results about the representation of preference orderings by real-valued order isomorphisms ("utility functions"). The authors have gathered together, from sources scattered throughout a wide range of the literature of mathematics and economics, the most significant theorems and methods in their field. The book will be a valuable resource for theoretical economists, mathematicians, and all interested in partial orders and their representation. It could also be used as the text for an advanced graduate course in mathematical economics.

The Theory Of General Economic Equilibrium

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Author : Andreu Mas-Colell
language : en
Publisher: Cambridge University Press
Release Date : 1985

The Theory Of General Economic Equilibrium written by Andreu Mas-Colell 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 1985 with Business & Economics categories.

This book brings together the author's pioneering work, written over the last twenty years, on the use of differential methods in general equilibrium theory.

Topological Social Choice

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Author : Geoffrey Heal
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topological Social Choice written by Geoffrey Heal 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.

The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 1993, and held in the splendid facilities of Columbia's Casa Italiana. Preliminary versions of several of the papers were presented at that meeting. In July 1994 the Fields Institute of Mathematical Sciences sponsored a workshop on "Geometry, Topology and Markets": additional papers and more refined versions of the original papers were presented there. They were published in their present versions in Social Choice and Wel fare, volume 14, number 2, 1997. The common aim of these workshops and this volume is to crystallize research in an area which has emerged rapidly in the last fifteen years, the area of topological approaches to social choice and the theory of games. The area is attracting increasing interest from social choice theorists, game theorists, mathematical econ omists and mathematicians, yet there is no authoritative collection of papers in the area. Nor is there any surveyor book to give a perspective and act as a guide to the issues in and contributions to this new area. One of the two aims of this volume is in some measure to play this role: the other aim is of course to present interesting and surprising new results.

Topology And Markets

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Author : Graciela Chichilnisky
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Topology And Markets written by Graciela Chichilnisky 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 1998 with Business & Economics categories.

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.

Rationality And Equilibrium

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Author : Charalambos D. Aliprantis
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-20

Rationality And Equilibrium written by Charalambos D. Aliprantis 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 2006-04-20 with Business & Economics categories.

This book contains a collection of original and state-of-the-art contributions in rational choice and general equilibrium theory. Among the topics are preferences, demand, equilibrium, core allocations, and testable restrictions. The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.

Differential Topology And General Equilibrium With Complete And Incomplete Markets

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Author : Antonio Villanacci
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-31

Differential Topology And General Equilibrium With Complete And Incomplete Markets written by Antonio Villanacci 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 2002-08-31 with Business & Economics categories.

Local uniqueness and smooth dependence of the endogenous variables from the exogenous ones are studied using a version of a so-called parametric transversality theorem. In a standard general equilibrium model, all equilibria are efficient, but that is not the case if some imperfection, like incomplete markets, asymmetric information, strategic interaction, is added. Then, for almost all economies, equilibria are inefficient, and an outside institution can Pareto improve upon the market outcome. Those results are proved showing that a well-chosen system of equations has no solutions."

Social Choice And Welfare

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Author : P.K. Pattanaik
language : en
Publisher: Elsevier
Release Date : 2016-04-20

Social Choice And Welfare written by P.K. Pattanaik and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Business & Economics categories.

This volume comprises papers presented at the Symposium on Collective Choice, by leading experts in this field. It presents recent advances in Social Choice Theory and Welfare Economics. The papers are classified in two broad groups: (1) those dealing with the ethical aspects of the theory of social choice and (2) those concerned with the positive aspects. The papers in the first part are concerned with the Arrow-type aggregation problem or aspects of it and with more specific questions relating to optimality, justice and welfare. In part II several papers discuss the problem of strategic misrevelation of preferences by individuals, others discuss simple voting games, social choice-correspondences and electoral competition. The main features are: - Recent advances in social choice theory and welfare economics - New mathematical approaches to social choice theory (differential and algebraic topology) -New aspects of the concepts of justice and optimality in welfare economics and social choice.