Existence and Optimality of Competitive Equilibria
Existence and Optimality of Competitive Equilibria

Author: Charalambos D. Aliprantis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 295

ISBN-13: 364261521X

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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], [23J or [52J may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.

Existence and Optimality of Competitive Equilibria
Existence and Optimality of Competitive Equilibria

Author: Charalambos D. Aliprantis

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 294

ISBN-13: 3662218933

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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
General Equilibrium Analysis

Author: Monique Florenzano

Publisher: Springer Science & Business Media

Published: 2003-08-31

Total Pages: 198

ISBN-13: 140207512X

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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.

General Equilibrium Analysis of Production and Increasing Returns
General Equilibrium Analysis of Production and Increasing Returns

Author: Takashi Suzuki

Publisher: World Scientific

Published: 2009

Total Pages: 285

ISBN-13: 9812833323

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A unique feature of the book compared to classical monographs on GE is its emphasis on the historical nature of the subject, and not only the mathematical nature. Students are expected to learn that those mathematically formidable techniques are indeed necessary for tackling many economic problems which have been significant not only in the mathematical or technical context, but also in the historical and traditional context.

General Equilibrium with Price-Making Firms
General Equilibrium with Price-Making Firms

Author: T. Marschak

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 257

ISBN-13: 3642658024

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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
General Equilibrium

Author: W. D. A. Bryant

Publisher: World Scientific

Published: 2010

Total Pages: 492

ISBN-13: 9812818340

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"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.

General Equilibrium Analysis
General Equilibrium Analysis

Author: Pascal Bridel

Publisher: Routledge

Published: 2013-03-01

Total Pages: 169

ISBN-13: 1136719822

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2010 marks the hundredth anniversary of the death of Léon Walras, the brilliant originator and first formaliser of general equilibrium theory – one of the pillars of modern economic theory. In advancing much derided practical solutions Walras also displayed more concern for the problems of living in a second best world than is common in modern pure theories of the invisible hand, efficient market hypothesis, DSGE macroeconomics or the thinking of some contemporary free market admirers all based on general equilibrium theory. This book brings contributions from the likes of Kenneth Arrow, Alan Kirman, Richard Posner, Amartya Sen and Robert Solow to share their thoughts and reflections on the theoretical heritage of Léon Walras. Some authors reminisce on the part they played in the development of modern general economics theory; others reflect on the crucial part played by general equilibrium in the development of macroeconomics, microeconomics, growth theory, welfare economics and the theory of justice; others still complain about the wrong path economic theory took under the influence of post 1945 developments in general equilibrium theory.

Differential Information Economies
Differential Information Economies

Author: Dionysius Glycopantis

Publisher: Springer Science & Business Media

Published: 2005-12-28

Total Pages: 656

ISBN-13: 3540269797

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One of the main problems in current economic theory is to write contracts which are Pareto optimal, incentive compatible, and also implementable as a perfect Bayesian equilibrium of a dynamic, noncooperative game. The question arises whether it is possible to provide Walrasian type or cooperative equilibrium concepts which have these properties. This volume contains original contributions on noncooperative and cooperative equilibrium notions in economies with differential information and provides answers to the above questions. Moreover, issues of stability, learning and continuity of alternative equilibria are also examined.