Stability of critical points for vector valued functions and Pareto efficiency

Miglierina Enrico
Additional contact information
Miglierina Enrico: Department of Economics, University of Insubria, Italy

Economics and Quantitative Methods from Department of Economics, University of Insubria

Abstract: In this work we consider the critical points of a vector-valued function f. We study their stability in order to obtain a necessary condition for Paret efficiency. We point out, by an example, that the classical notions of stability (concerning a single point) are not suitable in the settings. We use a stability notion for sets to prove that the counterimage of a minimal point for f is stable.This result is based on the study of a dynamical system defined by a differential inclusion. In the vector case this inclusion plays the same role as gradient system in the scalar setting.

Pages: 13 pages
Date: 2003-01
New Economics Papers: this item is included in nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.eco.uninsubria.it/RePEc/pdf/QF2003_1.pdf

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ins:quaeco:qf0301

Access Statistics for this paper

More papers in Economics and Quantitative Methods from Department of Economics, University of Insubria Contact information at EDIRC.
Bibliographic data for series maintained by Segreteria Dipartimento ().