The dynamics of marginal equilibria
type: Item
instance of: scholarly article
title: The dynamics of marginal equilibria
zbMATH Open document ID: 0642.58044
DOI: 10.1016/0196-8858(87)90019-4
author: W. J. R. Eplett
published in: Advances in Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The problem is studied of overall convergence of a dynamical system defined by one-dimensional minimum seeking processes. It has been proved that for smooth data the sequence of marginal minima converges to an overall minimum. If, however, the data are not smooth, the sequence may converge to the so-called trapping points. The structure of trapping points is analyzed in detail for continuous, convex and nicely approximable data. Applications are suggested in estimation theory and economics.
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 49M99
Mathematics Subject Classification ID: 62J02
zbMATH DE Number: 4046764
zbMATH Keywords: equilibrium
zbMATH Keywords: smoothness
zbMATH Keywords: approximation
zbMATH Keywords: dynamical system
zbMATH Keywords: trapping points
zbMATH Keywords: economics
reviewed by: Krzysztof Tchoń
MaRDI profile type: Publication
full work available at URL: 0196-8858(87)90019-4
OpenAlex ID: W2053473090
cites work: Q4145362
cites work: Q3952851
cites work: State Constraints in Convex Control Problems of Bolza
cites work: Low Median and Least Absolute Residual Analysis of Two-Way Tables
cites work: Q4197160
description: scientific article; zbMATH DE number 4046764