Existence And Optimality Of Competitive Equilibria

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Existence And Optimality Of Competitive Equilibria
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Author : Charalambos D. Aliprantis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Existence And Optimality Of Competitive Equilibria 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 2013-06-29 with Business & Economics categories.
This monograph is a systematic exposition of the authors' research on general equi librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have pro vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exis tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers fa miliar with the Walrasian general equilibrium model as exposited in (13], [23] or [52] may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Competitive Equilibrium
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Author : Bryan Ellickson
language : en
Publisher: Cambridge University Press
Release Date : 1993
Competitive Equilibrium written by Bryan Ellickson 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 1993 with Business & Economics categories.
The development of general equilibrium theory represents one of the greatest advances in economic analysis in the latter half of the twentieth century. This book, intended for advanced undergraduates and graduate students, provides a broad introduction to competitive equilibrium analysis with an emphasis on concrete applications. The first three chapters are introductory in nature, paving the way for the more advanced second half of the book. Relative to the competition, it is much more 'user friendly' while offering exceptionally broad coverage of topics. Well-designed and interesting applications help to make potentially abstract material more accessible. The book includes 92 illustrations and nearly 200 exercises.
Theory Of Incomplete Markets
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Author : Michael Magill
language : en
Publisher: MIT Press
Release Date : 2002
Theory Of Incomplete Markets written by Michael Magill and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Business & Economics categories.
Theory of incompl. markets/M. Magill, M. Quinzii. - V.1.
On The Existence Of Optimal Competitive Equilibria In The Overlapping Generations Model
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Author : Teodoro Millan
language : en
Publisher:
Release Date : 1981
On The Existence Of Optimal Competitive Equilibria In The Overlapping Generations Model written by Teodoro Millan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Equilibrium Theory In Infinite Dimensional Spaces
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Author : M. Ali Khan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Equilibrium Theory In Infinite Dimensional Spaces written by M. Ali Khan 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.
Apart from the underlying theme that all the contributions to this volume pertain to models set in an infinite dimensional space, they differ on many counts. Some were written in the early seventies while others are reports of ongoing research done especially with this volume in mind. Some are surveys of material that can, at least at this point in time, be deemed to have attained a satisfactory solution of the problem, while oth ers represent initial forays into an original and novel formulation. Some furnish alternative proofs of known, and by now, classical results, while others can be seen as groping towards and exploring formulations that have not yet reached a definitive form. The subject matter also has a wide leeway, ranging from solution concepts for economies to those for games and also including representation of preferences and discussion of purely mathematical problems, all within the rubric of choice variables belonging to an infinite dimensional space, interpreted as a commodity space or as a strategy space. Thus, this is a collective enterprise in a fairly wide sense of the term and one with the diversity of which we have interfered as little as possible. Our motivation for bringing all of this work under one set of covers was severalfold.
General Equilibrium
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Author : W. D. A. Bryant
language : en
Publisher: World Scientific
Release Date : 2010
General Equilibrium written by W. D. A. Bryant and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Business & Economics categories.
General Equilibrium Theory studies the properties and operation of free market economies. The field is a response to a series of questions originally outlined by Leon Walras about the operation of markets and posed by Frank Hahn in the following way: OCyDoes the pursuit of private interest, through a system of interconnected deregulated markets, lead not to chaos but to coherence OCo and if so, how is that achieved?OCO This is always an apt question, but particularly so given the OCyGlobal Financial CrisisOCO that emerged from the operation of market economies in the Americas and Europe in mid to late 2008. The answer that General Equilibrium Theory provides to the Walras-Hahn question is that, under certain conditions coherence is possible, while under certain other conditions chaos, in various forms, is likely to prevail. The conditionality of either outcome is not always well understood OCo neither by proponents of, or antagonists to, the OCyfree market positionOCO. Consequently, this book attempts to show something of what General Equilibrium Theory has to say about the wisdom or otherwise of always relying on OCymarket forcesOCO to manage complex socio-economic systems. Sample Chapter(s). Chapter 1: General Equilibrium Theory: An Overview (138 KB). Contents: General Equilibrium Theory: An Overview; Existence of Equilibrium: Sufficient Conditions; Existence of Equilibrium: Necessary Conditions; Equilibrium and Irreducibility: Some Empirical Evidence; Existence of Equilibrium Under Alternative Income Conditions; Existence of Walrasian Equilibrium in Some NonOCoArrow-Debreu Environments; Uniqueness of Equilibrium; Stability of Equilibrium; Optimality of Equilibrium; Comparative Statics of Equilibrium States; Empirical Evidence on General Equilibrium; General Equilibrium Theory in Retrospect. Readership: Advanced undergraduates and graduate students in economics; economists interested in economic theory."
General Equilibrium Theory
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Author : Ross M. Starr
language : en
Publisher: Cambridge University Press
Release Date : 1997-07-13
General Equilibrium Theory written by Ross M. Starr 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 1997-07-13 with Business & Economics categories.
General Equilibrium Theory: An Introduction treats the classic Arrow-Debreu general equilibrium model in a form accessible to graduate students and advanced undergraduates in economics and mathematics. Topics covered include mathematical preliminaries, households and firms, existence of general equilibrium, Pareto efficiency of general equilibrium, the First and Second Fundamental Theorems of Welfare Economics, the core and core convergences, future markets over time and contingent commodity markets under uncertainty. Demand, supply, and excess demand appear first as (point-valued) functions, then optionally as (set-valued) correspondences. The mathematics presented (with elementary proofs of the theorems) includes a real analysis, the Brouwer fixed point theorem, and separating and supporting hyperplane theorems. Optional chapters introduce the existence of equilibrium with set-valued supply and demand, the mathematics of upper and lower hemicontinuous correspondences, and the Kakutani fixed point theorem. The treatment emphasizes clarity and accessibility to the student through use of examples and intuition.
Fundamentals Of General Equilibrium Analysis
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Author : Takashi Suzuki
language : en
Publisher: World Scientific
Release Date : 2020-09-03
Fundamentals Of General Equilibrium Analysis written by Takashi Suzuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-03 with Business & Economics categories.
The aim of this book is to incorporate Marshallian ideas such as external increasing returns and monopolistic competitions into the general equilibrium framework of Walrasian tradition. New chapters and sections have been added to this revised and expanded edition of General Equilibrium Analysis of Production and Increasing Returns (World Scientific, 2009).The new material includes a presentation of equilibrium existence and core equivalence theorems for an infinite horizon economy with a measure space of consumers. These results are currently the focus of extensive studies by mathematical theorists, and are obtained by an application of an advanced mathematical concept called saturated (super-atomless) measure space.The second major change is the inclusion of a simple toy model of a liberal society which implements the difference principle proposed by J Rawls as a principle of distributive justice. This new section opens up a possibility to connect theoretical economics and political philosophy.Thirdly, the author presents the marginal cost pricing equilibrium and discusses welfare properties of the external increasing returns, which also belong to Marshall/ Pigou tradition of the Cambridge school.Finally, a new mathematical appendix treats basics of singular homology theory. Although the fixed point theorem is originally a theorem of algebraic topology, most economic students know its proof only in the context of the differentiable manifold theory presented by J Milnor. Considering the significance of the fixed point theorem and its playing a key role in general equilibrium theory, the purpose of this new appendix is to provide readers with the idea of a proof of Brower's fixed point theorem from the 'right place'.This volume will be helpful for graduate students and researchers of mathematical economics, game theory, and microeconomics.
The Corporate Economy
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Author : Robin Marris
language : en
Publisher: Springer
Release Date : 1971-06-18
The Corporate Economy written by Robin Marris and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-06-18 with Political Science categories.
General Equilibrium
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Author : Frank Hahn
language : en
Publisher: Routledge
Release Date : 2003-09-02
General Equilibrium written by Frank Hahn and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-02 with Business & Economics categories.
In recent years certain leading figures in the world of economics have called the usefulness of general equilibrium theory into question. This superb new book brings together leading economic theorists with important contributions to the ongoing debate. General equilibrium theorists including Michio Morishima, Michael Magill and Martine Quinzii debate strengths, weaknesses and possible futures with leading thinkers such as Herb Gintis, Pierangelo Garegnani and Duncan Foley, who seek to explain the rejection of general equilibrium. Uniquely, none of the contributors portray general equilibrium theory as the perfect guide to market economies actual behaviour, but rather illustrate that there is insufficient acquaintance with existing alternatives and that general equilibrium theory is often used as an ideal 'benchmark'.