Competition, instability, and nonlinear cycles. Proceedings of an International Conference, New School for Social Research, New York, USA, March 1985
type: Item
instance of: scholarly article
title: Competition, instability, and nonlinear cycles. Proceedings of an International Conference, New School for Social Research, New York, USA, March 1985
zbMATH Open document ID: 0601.90001
published in: Lecture Notes in Economics and Mathematical Systems
publication date: 1986-01-01T00:00:00Z
review text: This volume contains fifteen papers presented at a conference the purpose of which it was to explore the dynamics of production price systems and on this basis to develop a more consistent classification oriented microfoundation for macrodynamic systems and nonlinear cycles theories. The book is divided into four sections. The first section includes five papers dealing with the dynamics of classical competitive processes and the stability properties of production price systems with alternative assumptions on the formation of prices and the determination of outputs. The next section contains four articles on the microfoundations of macrodynamical systems and nonlinear cycle theories. Four papers with regard to the classical/Keynesian macrodynamical systems, some of them refering to Sargent's Keynesian macroeconomic models, are included in the third section. The last section presents two articles in which some econometric methods are utilised to test sectoral instabilities in input- output systems, and nonlinearities and limit cycle properties of macroeconomic models. The authors utilize in an extensive manner advanced methods of differential equations and nonlinear dynamic systems such as the gradient method, Lyapunov functions, the Poincaré-Bendixson theorem for limit cycles, discrete versions of nonlinear dynamical systems with fixed-point iterations, bifurcation theory and nonlinear eigenvalue theory. The editor selected the topics of the articles in a coherent and logical manner and as a result the volume constitutes a remarkable synthesis of some of the most promising modern methods and techniques of research in Economics. I consider it a useful and interesting book and I recommend it to all economists and mathematicians interested in Dynamic Economic Analysis.
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 91-06
Mathematics Subject Classification ID: 91B66
Mathematics Subject Classification ID: 93Dxx
Mathematics Subject Classification ID: 93A10
Mathematics Subject Classification ID: 62P20
zbMATH DE Number: 3970418
zbMATH Keywords: Competition
zbMATH Keywords: Instability
zbMATH Keywords: Nonlinear cycles
zbMATH Keywords: Proceedings
zbMATH Keywords: Conference
zbMATH Keywords: New York
zbMATH Keywords: dynamics of production price systems
zbMATH Keywords: microfoundation
zbMATH Keywords: stability properties
zbMATH Keywords: nonlinear cycle theories
zbMATH Keywords: input-output systems
zbMATH Keywords: nonlinearities
zbMATH Keywords: limit cycle
zbMATH Keywords: gradient method
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: Poincaré-Bendixson
zbMATH Keywords: fixed-point iterations
zbMATH Keywords: bifurcation
zbMATH Keywords: nonlinear eigenvalue
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3970418