Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings-Reference-Cited by-同舟云学术

Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings

Published:2022-01-19 Issue:3 Volume:30 Page:975-993
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Michalak Anna^ORCID,Studniarski Marcin^ORCID

Abstract

AbstractWe present higher order necessary conditions for a model of welfare economics, where the preference mapping has a star-shape property. We assume that the preferences can be satiable and can be described by an arbitrary preference set, without the use of utility functions. These conditions are formulated in terms of higher-order directional derivatives of multivalued mappings, and the variable domination structure is not given by cones.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11228-022-00627-2.pdf

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