Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations
In many game-theoretical results, the reduction axiom and its converse have been regarded as important requirements under axiomatic processes for solutions. However, it is shown that the replicated core counters a specific (inferior) converse reduction axiom under multi-choice non-transferable-utili...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/5/682 |
| _version_ | 1797474546702352384 |
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| author | Yu-Hsien Liao |
| author_facet | Yu-Hsien Liao |
| author_sort | Yu-Hsien Liao |
| collection | DOAJ |
| description | In many game-theoretical results, the reduction axiom and its converse have been regarded as important requirements under axiomatic processes for solutions. However, it is shown that the replicated core counters a specific (inferior) converse reduction axiom under multi-choice non-transferable-utility situations. Thus, two modified reductions and relative properties of the reduction axiom and its converse are proposed to characterize the replicated core in this article.The main methods and relative results are as follows. First, two different types of reductions are proposed by focusing on both participants and participation levels under relative symmetric reducing behavior. Further, relative reduction axioms and their converse are adopted to characterize the replicated core. |
| first_indexed | 2024-03-09T20:31:39Z |
| format | Article |
| id | doaj.art-fb02e5709edd454a836f2ae4bbbe1bef |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T20:31:39Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fb02e5709edd454a836f2ae4bbbe1bef2023-11-23T23:22:04ZengMDPI AGMathematics2227-73902022-02-0110568210.3390/math10050682Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility SituationsYu-Hsien Liao0Department of Applied Mathematics, National Pingtung University, Pingtung City 900391, TaiwanIn many game-theoretical results, the reduction axiom and its converse have been regarded as important requirements under axiomatic processes for solutions. However, it is shown that the replicated core counters a specific (inferior) converse reduction axiom under multi-choice non-transferable-utility situations. Thus, two modified reductions and relative properties of the reduction axiom and its converse are proposed to characterize the replicated core in this article.The main methods and relative results are as follows. First, two different types of reductions are proposed by focusing on both participants and participation levels under relative symmetric reducing behavior. Further, relative reduction axioms and their converse are adopted to characterize the replicated core.https://www.mdpi.com/2227-7390/10/5/682non-transferable-utility situationthe replicated corerelative symmetric reducing behaviorreduction axiom |
| spellingShingle | Yu-Hsien Liao Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations Mathematics non-transferable-utility situation the replicated core relative symmetric reducing behavior reduction axiom |
| title | Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations |
| title_full | Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations |
| title_fullStr | Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations |
| title_full_unstemmed | Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations |
| title_short | Relative Symmetric Reductions under Multi-Choice Non-Transferable-Utility Situations |
| title_sort | relative symmetric reductions under multi choice non transferable utility situations |
| topic | non-transferable-utility situation the replicated core relative symmetric reducing behavior reduction axiom |
| url | https://www.mdpi.com/2227-7390/10/5/682 |
| work_keys_str_mv | AT yuhsienliao relativesymmetricreductionsundermultichoicenontransferableutilitysituations |