Comparative Statics, Stability, and Uniqueness

Comparative Statics, Stability, and Uniqueness
Author: Finn Christensen
Publisher:
Total Pages: 0
Release: 2015
Genre:
ISBN:

Download Comparative Statics, Stability, and Uniqueness Book in PDF, Epub and Kindle

Consider an economic model whose equilibrium can be represented as the fixed point of a system of differentiable equations. Using the theory of B-matrices, I show that comparative statics are well-behaved if the interactions between the equations are not too large, and the negative interactions are not too varied. When there are only positive interactions, for example when strategic complements prevail in a strategic setting, I prove a version of Samuleson's (1947) Correspondence Principle in that equilibrium is nondecreasing for any positive parameter shock if and only if equilibrium is exponentially stable under discrete time best reply dynamics. If there are only negative interactions, like when strategic substitutes prevail in a game theoretic context, I use the theory of inverse M-matrices to significantly relax Dixit's (1986) conditions under which comparative statics are well-behaved. For every comparative statics result I show that if the conditions apply globally then equilibrium is unique. Applications are provided to differentiated products Cournot oligopoly, market demand with interdependent preferences, and games on fixed networks.

Nonparametric Comparative Statics and Stability

Nonparametric Comparative Statics and Stability
Author: Douglas Hale
Publisher: Princeton University Press
Total Pages: 253
Release: 2014-07-14
Genre: Mathematics
ISBN: 1400865034

Download Nonparametric Comparative Statics and Stability Book in PDF, Epub and Kindle

The authors, leading researchers in the fields of mathematical economics and methodology, present the first comprehensive synthesis of literature on qualitative and other nonparametric techniques, which are important elements of comparative statics and stability analysis in economic theory. The topics covered show how to assess the comparative statics and stability of economic models without a precise quantitative knowledge of all model components. Applications of the analysis range from determining refutable hypotheses from theory to auditing the solutions of large, computer-based systems. This book discusses in depth the methodology involved in a nonparametric analysis of many neoclassical economic models. Constituting a virtually self-contained manual on such analysis, it provides detailed derivation of necessary and sufficient conditions for the existence of restrictive comparative statics and stability results for a range of specified models. Further, algorithms for applying certain of these conditions are given, with examples, as well as the underlying mathematical approach taken. A large body of research is unified covering issues that have been dealt with piecemeal in scattered but important journal articles by the authors and others. The book will prove invaluable to mathematical economists, mathematicians specializing in matrix or graph theory, applied economists working with large-scale economic models, and advanced students of economics. Originally published in 1999. 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.

Theories of Imperfectly Competitive Markets

Theories of Imperfectly Competitive Markets
Author: Luis C. Corchon
Publisher: Springer Science & Business Media
Total Pages: 186
Release: 2013-04-17
Genre: Business & Economics
ISBN: 3662044986

Download Theories of Imperfectly Competitive Markets Book in PDF, Epub and Kindle

The ambition of the theory of imperfectly competitive markets is to explain the working of markets in which the issue of strategic interaction among firms is central. Our analysis of this problem will be based on equilibrium concepts borrowed from Game Theory. This research program arises several questions on its feasibility like the empirical relevance of the results, the substantial theoretical insights obtained in this way, etc. Unfortunately, most of these questions can not be answered in the short run. This book is written in the hope that this research strategy is meaningful, but about its final success no body can tell. Another important question is if simpler models could deliver the essential insights offered by the theory of imperfectly competitive mar kets. This Introduction will be devoted to argue that, currently, there is no alternative to the approach presented in this book. Consider the following fact: A square inch of soil in the Explanada of Ali cante (located in front of the sea, right in the middle of downtown) cost several times more than a square inch of soil in San Vicente del Raspeig (located sev eral miles toward the interior of the peninsula). l How can we explain such a thing? First notice that because of the large quantity of possible traders involved in this market, we can safely assume that any agent has to accept the market price, i. e. is a price-taker.

Computational Aspects of General Equilibrium Theory

Computational Aspects of General Equilibrium Theory
Author: Donald Brown
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2008-01-08
Genre: Business & Economics
ISBN: 3540765913

Download Computational Aspects of General Equilibrium Theory Book in PDF, Epub and Kindle

This monograph presents a general equilibrium methodology for microeconomic policy analysis. It is intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu`s Theory of Value (1959) or Arrow and Hahn`s General Competitive Analysis (1971). The monograph consists of several essays written over the last decade. It also contains an appendix by Charles Steinhorn on the elements of O-minimal structures.

General Equilibrium

General Equilibrium
Author: W. D. A. Bryant
Publisher: World Scientific
Total Pages: 492
Release: 2010
Genre: Business & Economics
ISBN: 9812818340

Download General Equilibrium Book in PDF, Epub and Kindle

"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.

Lectures on Microeconomics

Lectures on Microeconomics
Author: Romans Pancs
Publisher: MIT Press
Total Pages: 345
Release: 2024-08-20
Genre: Business & Economics
ISBN: 0262552892

Download Lectures on Microeconomics Book in PDF, Epub and Kindle

Economic concepts and techniques presented through a series of "big questions," models that show how to pose a questions rigorously and work toward an answer. This book helps readers master economic concepts and techniques by tackling fundamental economic and political questions through a series of models. It is organized around a sequence of “big questions,” among them: When do markets help translate individuals' uncoordinated, selfish actions into outcomes that are best for all? Do markets change people, and, if so, for worse or better? Translated into the language of modern economics, do Marx's ideas have merit? Why is there so much income inequality? Or is there too little? The arguments are in the theorem-proof format, distinguishing results derived in the context of fully specified models from educated speculation. Readers will learn how to pose a question rigorously and how to work toward an answer, and to appreciate that even (especially!) the broadest and most ambitious questions call for a model. The goal of the book is not to indoctrinate but to show readers how to reason toward their own conclusions. The first chapter, on the Walrasian model of general equilibrium, serves as the prerequisite for the rest of the book. The remaining chapters cover less conventional topics, including the morality of markets; matching theory; Marxism, socialism, and the resilience of markets; a formalization of Kant's categorical imperative; unintended consequences of policy design; and theories of justice. The book can be used as a textbook for advanced undergraduate or graduate students or as a resource for researchers in disciplines that draw on normative economics.

General Equilibrium Analysis

General Equilibrium Analysis
Author: Pascal Bridel
Publisher: Routledge
Total Pages: 200
Release: 2013-03-01
Genre: Business & Economics
ISBN: 1136719814

Download General Equilibrium Analysis Book in PDF, Epub and Kindle

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.

Equilibrium, Stability and Growth

Equilibrium, Stability and Growth
Author: Michio Morishima
Publisher: OUP Oxford
Total Pages: 240
Release: 1963-03-26
Genre: Business & Economics
ISBN: 019152123X

Download Equilibrium, Stability and Growth Book in PDF, Epub and Kindle

Equilibrium, Stability and Growth A Multi-Sectoral Analysis