Applications of utility functions defined on quasi-metric spaces
type: Item
instance of: scholarly article
title: Applications of utility functions defined on quasi-metric spaces
zbMATH Open document ID: 1026.54028
DOI: 10.1016/S0022-247X(03)00285-3
author: Salvador Romaguera
author: Manuel Sanchis
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-08-25T00:00:00Z
review text: By generalizing some known results from metric to quasi-pseudometric \(T_0\)-spaces the authors show that certain methods developed in mathematical economics can be successfully applied to problems in theoretical computer science. In the first part of their article they characterize those preferences, defined on a sup-separable quasi-pseudometric \(T_0\)-space, for which there is a semi-Lipschitz utility function. They deduce that several interesting examples of quasi-pseudometric spaces which appear in domain theory and complexity theory admit semi-Lipschitz utility functions. In the second part of their article they apply their methods to a study of certain dynamical systems defined on quasi-pseudometric \(T_0\)-spaces. The examples discussed in the first part are used to illustrate various results, for instance some statements on attractors.
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 91B16
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 68Q01
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 1970521
zbMATH Keywords: quasi-metric
zbMATH Keywords: utility function
zbMATH Keywords: preference
zbMATH Keywords: semi-Lipschitz
zbMATH Keywords: specialization order
zbMATH Keywords: computer science
zbMATH Keywords: dynamical system
zbMATH Keywords: trajectory
zbMATH Keywords: attractor
reviewed by: Hans Peter Künzi
MaRDI profile type: Publication
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full work available at URL: s0022-247x(03)00285-3
OpenAlex ID: W1965030319
description: scientific article; zbMATH DE number 1970521