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Existence Of Competitive Equilibria In Markets With A Continuum Of Traders
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Book Synopsis Existence of Competitive Equilibria in Markets with a Continuum of Traders by : Robert J. Aumann
Download or read book Existence of Competitive Equilibria in Markets with a Continuum of Traders written by Robert J. Aumann and published by . This book was released on 1964 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known, and easy to establish, that there exist markets that do not have competitive equilibria, provided the traders do not have convex preferences--that is, that the set of commodity bundles preferred or indifferent to a given bundle is not always convex. It is proved, nevertheless, that in a market consisting of a continuum of traders, each one individually insignificant, there is always a competitive equilibrium, even when the preferences are not convex. (Author).
Book Synopsis Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences by : David Schmeidler
Download or read book Competitive Equilibria in Markets with a Continuum of Traders and Incomplete Preferences written by David Schmeidler and published by . This book was released on 1966 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is shown that a market with a continuum of traders possesses a competitive equilibrium even when the preferences are not complete. This generalizes further a result of Aumann, ('Econometrica'; 32: 39-50 (1964); 34: 1-17(1966)) who showed that the convexity assumption may be dispensed within the presence of a continuum of traders. The proof is inspired by the Arrow-Debreu ('Econometrica; 22: 265-290(1954)) proof for the finite case. (Author).
Book Synopsis Collected Papers by : Robert J. Aumann
Download or read book Collected Papers written by Robert J. Aumann and published by MIT Press. This book was released on 2000 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. "When you look closely at one scientific idea", writes Aumann, "you find it hitched to all others. It is these hitches that I have tried to study". The papers are organized in several categories: general, knot theory, decision theory (utility and subjective probability), strategic games, coalitional games, and mathematical methods. Aumann has written an introduction to each of these groups that briefly describes the content and background of each paper, including the motivation and the research process, and relates it to other work in the collection and to work by others. There is also a citation index that allows readers to trace the considerable body of literature which cites Aumann's own work.
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.
Book Synopsis Classics in Game Theory by : Harold William Kuhn
Download or read book Classics in Game Theory written by Harold William Kuhn and published by Princeton University Press. This book was released on 2020-11-10 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.
Book Synopsis The Survival Assumption and Existence of Competitive Equilibria when Asset Markets are Incomplete by : Piero Gottardi
Download or read book The Survival Assumption and Existence of Competitive Equilibria when Asset Markets are Incomplete written by Piero Gottardi and published by . This book was released on 1994 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis General Equilibrium Analysis of Production and Increasing Returns by : Takashi Suzuki
Download or read book General Equilibrium Analysis of Production and Increasing Returns written by Takashi Suzuki and published by World Scientific. This book was released on 2009 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis A theorem on the existence of competitive equilibria in a market with a finite number of agents and whose commodity space is L ... by : Truman F. Bewley
Download or read book A theorem on the existence of competitive equilibria in a market with a finite number of agents and whose commodity space is L ... written by Truman F. Bewley and published by . This book was released on 1969 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis The New Palgrave Dictionary of Economics by :
Download or read book The New Palgrave Dictionary of Economics written by and published by Springer. This book was released on 2016-05-18 with total page 7493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.
Book Synopsis Competitive Equilibrium and Trading Networks by : Ozan Candogan
Download or read book Competitive Equilibrium and Trading Networks written by Ozan Candogan and published by . This book was released on 2019 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under full substitutability of preferences, it is known that a competitive equilibrium exists in trading networks, and is equivalent to (chain) stable outcomes. In this paper, we formulate the problem of finding an efficient outcome as a generalized submodular flow problem on a suitable network. Existence of a competitive equilibrium and its equivalence with the seemingly weaker notion of stability follow directly from the optimality conditions of the flow problem. Our formulation enables us to perform comparative statics with respect to the number of buyers, sellers, and trades. In particular, we establish that if a new buyer is added to the economy, at an equilibrium the prices of all existing trades increase. In addition we give a polynomial time algorithm for finding competitive equilibria in trading networks and testing (chain) stability.
Book Synopsis General Equilibrium Theory by : Ross M. Starr
Download or read book General Equilibrium Theory written by Ross M. Starr and published by Cambridge University Press. This book was released on 1997-07-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Charalambos D. Aliprantis Publisher :Springer Science & Business Media ISBN 13 :9783540009115 Total Pages :756 pages Book Rating :4.0/5 (91 download)
Book Synopsis Assets, Beliefs, and Equilibria in Economic Dynamics by : Charalambos D. Aliprantis
Download or read book Assets, Beliefs, and Equilibria in Economic Dynamics written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2004 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.
Book Synopsis An Inquiry Into Well-being and Destitution by : Partha Dasgupta
Download or read book An Inquiry Into Well-being and Destitution written by Partha Dasgupta and published by Oxford University Press. This book was released on 1995 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: An interdisciplinary book by one of the most respected scholars in what is broadly development economics but encompasses the most recent insights from philosophical research and empirical work on resource allocation, nutrition science, and anthropology. It has been widely recognized as aseminal work presenting a wide-ranging description of the causes and remedies of poverty and undernourishment, and addressing the current debate over methods of estimating their incidence.
Author :Charalambos D. Aliprantis Publisher :Springer Science & Business Media ISBN 13 :364261521X Total Pages :295 pages Book Rating :4.6/5 (426 download)
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 2012-12-06 with total page 295 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], [23J or [52J may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Book Synopsis General Equilibrium by : Kenneth Joseph Arrow
Download or read book General Equilibrium written by Kenneth Joseph Arrow and published by Harvard University Press. This book was released on 1983 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of Arrow's collected papers will be welcomed by economists and other social scientists and in particular by graduate students, who can draw from them the knowledge and the discernment in selection of scientific problems that only a master can offer. The author has added headnotes to certain well-known papers, describing his process.
