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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MDPI AG
2022-03-01
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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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