The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements

Since the replicated core counters the (inferior) converse reduction axiom under multi-choice non-transferable-utility (NTU) situations, two converse reduction axiomatic enlargements of the replicated core are generated. These two enlargements are the smallest (inferior) converse reduction axiomatic...

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Main Authors: Yan-An Hwang, Yu-Hsien Liao
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/5/806
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author Yan-An Hwang
Yu-Hsien Liao
author_facet Yan-An Hwang
Yu-Hsien Liao
author_sort Yan-An Hwang
collection DOAJ
description Since the replicated core counters the (inferior) converse reduction axiom under multi-choice non-transferable-utility (NTU) situations, two converse reduction axiomatic enlargements of the replicated core are generated. These two enlargements are the smallest (inferior) converse reduction axiomatic solutions that contain the replicated core. Finally, relative axiomatic results are also provided.
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spelling doaj.art-f038661a260241dcb15314dc12ca61382023-11-23T23:23:53ZengMDPI AGMathematics2227-73902022-03-0110580610.3390/math10050806The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic EnlargementsYan-An Hwang0Yu-Hsien Liao1Department of Applied Mathematics, National Down Hwa University, Hualien County 974301, TaiwanDepartment of Applied Mathematics, National Pingtung University, Pingtung County 900391, TaiwanSince the replicated core counters the (inferior) converse reduction axiom under multi-choice non-transferable-utility (NTU) situations, two converse reduction axiomatic enlargements of the replicated core are generated. These two enlargements are the smallest (inferior) converse reduction axiomatic solutions that contain the replicated core. Finally, relative axiomatic results are also provided.https://www.mdpi.com/2227-7390/10/5/806non-transferable-utility situationthe replicated coreconverse reduction axiom
spellingShingle Yan-An Hwang
Yu-Hsien Liao
The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements
Mathematics
non-transferable-utility situation
the replicated core
converse reduction axiom
title The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements
title_full The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements
title_fullStr The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements
title_full_unstemmed The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements
title_short The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements
title_sort replicated core under multi choice non transferable utility situations converse reduction axiomatic enlargements
topic non-transferable-utility situation
the replicated core
converse reduction axiom
url https://www.mdpi.com/2227-7390/10/5/806
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AT yananhwang replicatedcoreundermultichoicenontransferableutilitysituationsconversereductionaxiomaticenlargements
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