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

We 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 formul...

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Detalles Bibliográficos
Autores principales: Michalak, Anna, Studniarski, Marcin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2022
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8768435/
https://www.ncbi.nlm.nih.gov/pubmed/35075380
http://dx.doi.org/10.1007/s11228-022-00627-2
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author Michalak, Anna
Studniarski, Marcin
author_facet Michalak, Anna
Studniarski, Marcin
author_sort Michalak, Anna
collection PubMed
description We 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.
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spelling pubmed-87684352022-01-20 Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings Michalak, Anna Studniarski, Marcin Set Valued Var Anal Original Research We 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. Springer Netherlands 2022-01-19 2022 /pmc/articles/PMC8768435/ /pubmed/35075380 http://dx.doi.org/10.1007/s11228-022-00627-2 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Research
Michalak, Anna
Studniarski, Marcin
Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings
title Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings
title_full Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings
title_fullStr Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings
title_full_unstemmed Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings
title_short Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings
title_sort higher-order optimality conditions in set-valued optimization with respect to general preference mappings
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8768435/
https://www.ncbi.nlm.nih.gov/pubmed/35075380
http://dx.doi.org/10.1007/s11228-022-00627-2
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