Competitive Equilibrium

Competitive Equilibrium
Author: Bryan Ellickson
Publisher: Cambridge University Press
Total Pages: 424
Release: 1993
Genre: Business & Economics
ISBN: 9780521319881

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.

Core and Equilibria of a Large Economy. (PSME-5)

Core and Equilibria of a Large Economy. (PSME-5)
Author: Werner Hildenbrand
Publisher: Princeton University Press
Total Pages: 261
Release: 2015-03-08
Genre: Business & Economics
ISBN: 1400869471

Can every allocation in the core of an economy be decentralized by a suitably chosen price system? Werner Hildenbrand shows that the answer is yes if the economy has "many" participating agents and if the influence of every individual agent on collective actions is "negligible." To give a general and precise definition of economics with this property he considers both economies with a continuum of agents, and a sequence of economies with an increasing number of participants. In both cases this leads to a measure theoretic formulation of economic equilibrium analysis. In the first part of the book the relevant mathematics is developed. In the second part the continuity and convexity properties of the total demand of a consumption sector are investigated. An important result is the equivalence between the core and the set of Walras equilibria for an exchange economy with a continuum of agents. The author then deals with limit theorems on the core for purely competitive sequences of exchange economies. In the last chapter the core and the set of Walras equilibria for a coalition production economy and the relation between these two equilibrium concepts are studied. Originally published in 1974. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Existence and Optimality of Competitive Equilibria

Existence and Optimality of Competitive Equilibria
Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
Total Pages: 294
Release: 2013-06-29
Genre: Business & Economics
ISBN: 3662218933

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.

Fundamentals Of General Equilibrium Analysis

Fundamentals Of General Equilibrium Analysis
Author: Takashi Suzuki
Publisher: World Scientific
Total Pages: 436
Release: 2020-09-03
Genre: Business & Economics
ISBN: 981121963X

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.

Mobility in Space and Time

Mobility in Space and Time
Author: Nicole Pohl
Publisher: Springer Science & Business Media
Total Pages: 235
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642576087

The pure theory of international economics operates within a methodological framework of (static) equilibrium modelling. This sets a number of restrictions to its capability to explain empirical economic phenomena. A huge part of the scientific discourse takes place within this equilibrium framework. This is also true for new approaches like e.g. the New Economic Geography and models operating with market structures of oligopoly. This is why it is a courageous effort to try to cross the apparently unalterable borders set by equilibrium modelling. Most certainly this cannot be an end in itself. Especially the pure theory of international economics is still in many fields lacking adequate possibilities to deal with phenomena in space and time. These two dimensions have in common that they make the introduction of specific facets of movement, change, evolution - and therefore "mobility" - possible. Besides this "dynamic" component a point of view that includes space and time challenges us to find new possibilities to model heterogeneous agents. If these ideas are not so revolutionary in their content, the attempt to introduce them into a formal model is a big challenge. Moreover, it poses the question about the role of a theory of "international" economics in such a wider framework.

Theory Of General Economic Equilibrium

Theory Of General Economic Equilibrium
Author: Hans Keiding
Publisher: World Scientific
Total Pages: 447
Release: 2020-05-26
Genre: Business & Economics
ISBN: 9811214409

This book provides a comprehensive introduction to general equilibrium theory, covering the standard topics as well as the developments of the theory over the past fifty years. This ensures that the reader gains a thorough account of what has been established both in pure theory and in applications.In addition to the basic topics, this book elaborates on fields which are relevant but not mentioned frequently in this context. The material covered includes international trade, growth, finance and implementation, and it offers a broader view than what is usual in texts on general equilibrium theory. This book would make for suitable reading for undergraduate and graduate courses in macroeconomics.