Existence And Optimality Of Competitive Equilibria

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Existence and Optimality of Competitive Equilibria

Author : Charalambos D. Aliprantis
Publisher : Springer Science & Business Media
ISBN 13 : 3662218933
Total Pages : 294 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Existence and Optimality of Competitive Equilibria by : Charalambos D. Aliprantis

Download or read book Existence and Optimality of Competitive Equilibria written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

General Equilibrium Analysis

Author : Monique Florenzano
Publisher : Springer Science & Business Media
ISBN 13 : 1475753152
Total Pages : 187 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis General Equilibrium Analysis by : Monique Florenzano

Download or read book General Equilibrium Analysis written by Monique Florenzano and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: General Equilibrium Analysis is a systematic exposition of the Walrasian model of economic equilibrium with a finite number of agents, as formalized by Arrow, Debreu and McKenzie at the beginning of the fifties and since then extensively used, worked and studied. Existence and optimality of general equilibrium are developed repeatedly under different sets of hypothesis which define some general settings and delineate different approaches to the general equilibrium existence problem. The final chapter is devoted to the extension of the general equilibrium model to economies defined on an infinite dimensional commodity space. The objective of General Equilibrium Analysis is to give to each problem in each framework the most general solution, at least for the present state of art. The intended readers are graduate students, specialists and researchers in economics, especially in mathematical economics. The book is appropriate as a class text, or for self-study.

Competitive Equilibrium

Author : Bryan Ellickson
Publisher : Cambridge University Press
ISBN 13 : 9780521319881
Total Pages : 424 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Competitive Equilibrium by : Bryan Ellickson

Download or read book Competitive Equilibrium written by Bryan Ellickson and published by Cambridge University Press. This book was released on 1993 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Game-Theoretic Methods in General Equilibrium Analysis

Author : J.F. Mertens
Publisher : Springer Science & Business Media
ISBN 13 : 9401716560
Total Pages : 260 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Game-Theoretic Methods in General Equilibrium Analysis by : J.F. Mertens

Download or read book Game-Theoretic Methods in General Equilibrium Analysis written by J.F. Mertens and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: JEAN-FRANQOIS MERTENS This book presents a systematic exposition of the use of game theoretic methods in general equilibrium analysis. Clearly the first such use was by Arrow and Debreu, with the "birth" of general equi librium theory itself, in using Nash's existence theorem (or a generalization) to prove the existence of a competitive equilibrium. But this use appeared possibly to be merely tech nical, borrowing some tools for proving a theorem. This book stresses the later contributions, were game theoretic concepts were used as such, to explain various aspects of the general equilibrium model. But clearly, each of those later approaches also provides per sea game theoretic proof of the existence of competitive equilibrium. Part A deals with the first such approach: the equality between the set of competitive equilibria of a perfectly competitive (i.e., every trader has negligible market power) economy and the core of the corresponding cooperative game.

General Equilibrium

Author : W. D. A. Bryant
Publisher : World Scientific
ISBN 13 : 9812818340
Total Pages : 492 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis General Equilibrium by : W. D. A. Bryant

Download or read book General Equilibrium written by W. D. A. Bryant and published by World Scientific. This book was released on 2010 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book focuses on the foundations of general equilibrium theory, more specifically on the existence, uniqueness, stability, optimality and comparative static properties of equilibrium states. It also explores the question of the empirical relevance of equilibrium states. It highlights a series of 'relationship conditions' which are essential for the existence of equilibrium, but appear in optimality results." -- PUBLISHER WEBSITE.

Introduction to Equilibrium Analysis

Author : W. Hildenbrand
Publisher : Elsevier
ISBN 13 : 1483275264
Total Pages : 228 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Introduction to Equilibrium Analysis by : W. Hildenbrand

Download or read book Introduction to Equilibrium Analysis written by W. Hildenbrand and published by Elsevier. This book was released on 2014-07-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Textbooks in Economics, Volume 6: Introduction to Equilibrium Analysis: Variations on Themes by Edgeworth and Walras focuses on the approaches developed and instituted by Edgeworth and Walras in the study of equilibrium analysis. The book first underscores exchange economies, core of a game, and large economies. Discussions focus on economies with a continuum of agents, Walras equilibrium, prices and demand, balancedness, and commodity space. The manuscript then ponders on limit theorems for the core and existence of competitive equilibria. Topics include equilibria without convexity of preferences, existence of equilibria for economies with convex preferences, individual demand, emergence of prices, asymptotic equal treatment for most, uniform boundedness of core allocations, and limit theorems for type and replica economies. The publication examines continuous, upper, and lower hemi-continuous correspondences, fixed point theorems, and separation of convex sets. The book is a vital source of data for economists and researchers interested in equilibrium analysis.

General Equilibrium with Price-Making Firms

Author : T. Marschak
Publisher : Springer Science & Business Media
ISBN 13 : 3642658024
Total Pages : 257 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis General Equilibrium with Price-Making Firms by : T. Marschak

Download or read book General Equilibrium with Price-Making Firms written by T. Marschak and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivation. That elegant fiction the competitive equilibrium seems still to dominate the frontiers of theoretical microeconomics. We may think of it in a general way as a state of affairs wherein economic agents, responding "rationally" to annoWlced prices, make choices which are consistent and feasible. The prices may also be described as "taken": for one reason or another the agents who respond to them consider them as given. The existence of such a state, its optimality, its robustness against free bargaining among agents when there are many of them, its Wliqueness, its stability when price displacements evoke specified adjustments--all these issues have been studied, and continue to be studied in a variety of settings. Slowly the equilibrium investigated begins to incorporate public goods, externalities of certain kinds, differences in agents' information, and infinitely many time periods. The appeal of such results need not be belabored: the equilibrium studied may sustain an optimal resource allocation, and when it does it sus tains it in a manner that appears to be informationally efficient and to accord well with individual incentives. Therefore it is important to extend the circumstances under which an equilibrium exists, under which it sustains opti mality, and under which it survives displacements as well as free bargaining among agents.

General Equilibrium with Increasing Returns

Author : Antonio Villar
Publisher : Springer Science & Business Media
ISBN 13 : 3662004577
Total Pages : 172 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis General Equilibrium with Increasing Returns by : Antonio Villar

Download or read book General Equilibrium with Increasing Returns written by Antonio Villar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on general equilibrium in which firms are allowed to exhibit increasing returns to scale (more precisely, in which the convexity of production sets is not assumed). As such, it provides a full fledged general equilibrium model and analyzes the chief questions concerning existence and optimality. Increasing returns is a topic which many economists find it to be simultaneously very imponant, very difficult and very discouraging. It is very important because it refers to a well established technological phenomenon which is essentially incompatible with the functioning of competitive markets. It is very difficult because the standard concepts and tools for the analysis fail (in particular, the supply mappings are not well defined). It is very discouraging because the available models do not seem to solve the basic questions: Normative models where nonconvex firms follow marginal pricing do not achieve efficient outcomes, and positive models cannot incorporate monopolistic competition as a way of defming the behavior of those firms with increasing returns to scale. I would like to think that this monograph will contribute to show that "the increasing returns question" is neither too difficult nor too discouraging. Concerning the difficulty, it will be shown that the analysis can be carried out with essentially the same tools as those applicable to the standard competitive model. As for the relevance of the results available, let me point out the following.

Microeconomics

Author : M.C. Blad
Publisher : Elsevier
ISBN 13 : 1483297640
Total Pages : 440 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Microeconomics by : M.C. Blad

Download or read book Microeconomics written by M.C. Blad and published by Elsevier. This book was released on 2014-07-15 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book contains the material for a course in standard microeconomics and general equilibrium. These chapters contain the necessary background on commodities, consumers, producers, as well as the classical results about the existence of general (Walras) equilibria and the fundamentals of welfare theory. The second part of the book may be seen as a continuation dealing with more advanced topics.This textbook shows how the general equilibrium theory can be put into use to provide new insights into various fields of economic science. The reader does not need previous particular mathematical training; the formal approach is introduced in a piecemeal fashion, so that no difficult mathematics occurs in the beginning.

On Pareto Optima and Competitive Equilibria

Author : James C. Moore
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis On Pareto Optima and Competitive Equilibria by : James C. Moore

Download or read book On Pareto Optima and Competitive Equilibria written by James C. Moore and published by . This book was released on 1970 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals Of General Equilibrium Analysis

Author : Takashi Suzuki
Publisher : World Scientific
ISBN 13 : 981121963X
Total Pages : 436 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fundamentals Of General Equilibrium Analysis by : Takashi Suzuki

Download or read book Fundamentals Of General Equilibrium Analysis written by Takashi Suzuki and published by World Scientific. This book was released on 2020-09-03 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Walrasian and Non-Walrasian Equilibria

Author : Anjan Mukherji
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Walrasian and Non-Walrasian Equilibria by : Anjan Mukherji

Download or read book Walrasian and Non-Walrasian Equilibria written by Anjan Mukherji and published by Oxford University Press, USA. This book was released on 1990 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Allocation Under Uncertainty: Equilibrium and Optimality

Author : Jacques H. Drèze
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Allocation Under Uncertainty: Equilibrium and Optimality by : Jacques H. Drèze

Download or read book Allocation Under Uncertainty: Equilibrium and Optimality written by Jacques H. Drèze and published by John Wiley & Sons. This book was released on 1974 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncooperative Approaches to the Theory of Perfect Competition

Author : Andreu Mas-Colell
Publisher : Academic Press
ISBN 13 : 1483271609
Total Pages : 281 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Noncooperative Approaches to the Theory of Perfect Competition by : Andreu Mas-Colell

Download or read book Noncooperative Approaches to the Theory of Perfect Competition written by Andreu Mas-Colell and published by Academic Press. This book was released on 2014-05-10 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic Theory, Econometrics, and Mathematical Economics: A Series of Monographs and Textbooks: Noncooperative Approaches to the Theory of Perfect Competition focuses on the application of noncooperative approaches to the theory of perfect competition, including Cournot game, no-surplus condition, and Nash equilibria. The selection first elaborates on collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives and noncooperative price taking in large dynamic markets. Discussions focus on noncooperative equilibria which support the monopoly allocation, alternative definition of perfect epsilon-equilibrium, one-period Cournot game, fixed-demand case, and replication case. The book takes a look at noncooperative price taking in large dynamic markets, no-surplus condition as a characterization of perfectly competitive equilibrium, perfect competition, profit criterion, and the organization of economic activity. Topics include profits to individually improving welfare, structure of firms, competitive allocations as no surplus allocations, profits as rents, Walrasian and perfectly competitive equilibrium, and no-surplus and core equivalence as alternative characterizations of perfectly competitive equilibrium. The manuscript ponders on Nash equilibria of market games and efficiency properties of strategic market games, as well as commodities, agents, assignments, strategic markets games, proper and full Cournot-Nash equilibria, and finiteness and inefficiency. The selection is a valuable source of data for researchers interested in noncooperative approaches to the theory of perfect competition.

Theory of Incomplete Markets

Author : Michael Magill
Publisher : MIT Press
ISBN 13 : 9780262632546
Total Pages : 566 pages
Book Rating : 4.6/5 (325 download)

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Book Synopsis Theory of Incomplete Markets by : Michael Magill

Download or read book Theory of Incomplete Markets written by Michael Magill and published by MIT Press. This book was released on 2002 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of incompl. markets/M. Magill, M. Quinzii. - V.1.

Competitive Equilibrium Under Uncertainty

Author : Roy Radner
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Competitive Equilibrium Under Uncertainty by : Roy Radner

Download or read book Competitive Equilibrium Under Uncertainty written by Roy Radner and published by . This book was released on 1965 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper represents an application of the modern theory of competitive equilibrium to the case of uncertainty. Two theorems are presented: the first sets forth sufficient conditions for the existence of a competitive equilibrium for the case in which each economic agent has a given structure of information available and the second sets forth sufficient conditions for the existence of a competitive equilibrium for the case in which any available structure of information may be used. However, if the costs of obtaining information are included in the analysis, the conditions of the theorem may not be met. This is also true if the costs necessary to perform computations are included. In addition if part of the information available to economic agents concerns the behavior of other agents rather than concerning environmental variables, the conditions of the theorem may not be fulfilled. (Author).

Equilibrium and Efficiency in Production Economies

Author : Antonio Villar
Publisher : Springer Science & Business Media
ISBN 13 : 3642596703
Total Pages : 283 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Equilibrium and Efficiency in Production Economies by : Antonio Villar

Download or read book Equilibrium and Efficiency in Production Economies written by Antonio Villar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a substantially revised and enlarged version of the monograph General Equilibrium with Increasing Returns, published by Springer-Verlag as a Lecture Notes volume in 1996. It incorporates new topics and the most recent developments in the field. It also provides a more systematic analysis of the differences between production economies with and without convex production sets. Five out of twelve chapters are new, and most of the remaining ones have been reformulated. An outline of contents appears in chapter 1. As its predecessor, this book contains a formal and systematic exposition of the main results on the existence and efficiency of equilibrium, in production economies where production sets need not be convex. There is an explicit attempt at making of it a suitable reference both for graduate students and researchers interested in theory (not necessarily specialists in mathematical economics). With this twofold purpose in mind, the work has been written according to three key principles: (i) To provide a uhified approach to the problems involved. For that we construct a basic model that is rich enough to encompass the different models appearing throughout, and to derive all the results as coroilaries of a reduced number of general theorems. (ii) To maintain a relatively low mathematical complexity. Thus, when the estimated cost of generality exceeds the benefit of simplicity, we shall state and prove the theorems under assumptions that need not be the most general ones.