Power Indices under Specific Multicriteria Status
By considering the maximal efficacy among allocation vectors, we define two power indices under specific multicriteria conditions. Additionally, we introduce a reduction approach to the axiomatic framework for these power indices. Furthermore, we propose an alternative formulation that focuses on di...
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Format: | Article |
Language: | English |
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MDPI AG
2023-06-01
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Series: | Games |
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Online Access: | https://www.mdpi.com/2073-4336/14/4/51 |
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author | Yu-Hsien Liao |
author_facet | Yu-Hsien Liao |
author_sort | Yu-Hsien Liao |
collection | DOAJ |
description | By considering the maximal efficacy among allocation vectors, we define two power indices under specific multicriteria conditions. Additionally, we introduce a reduction approach to the axiomatic framework for these power indices. Furthermore, we propose an alternative formulation that focuses on discrepancy mapping. Based on reduction and discrepancy mapping, we also provide two dynamic procedures. |
first_indexed | 2024-03-10T23:55:09Z |
format | Article |
id | doaj.art-4373a3b428b74ebd9d0dff9e7e886691 |
institution | Directory Open Access Journal |
issn | 2073-4336 |
language | English |
last_indexed | 2024-03-10T23:55:09Z |
publishDate | 2023-06-01 |
publisher | MDPI AG |
record_format | Article |
series | Games |
spelling | doaj.art-4373a3b428b74ebd9d0dff9e7e8866912023-11-19T01:12:48ZengMDPI AGGames2073-43362023-06-011445110.3390/g14040051Power Indices under Specific Multicriteria StatusYu-Hsien Liao0Department of Applied Mathematics, National Pingtung University, Pingtung 900, TaiwanBy considering the maximal efficacy among allocation vectors, we define two power indices under specific multicriteria conditions. Additionally, we introduce a reduction approach to the axiomatic framework for these power indices. Furthermore, we propose an alternative formulation that focuses on discrepancy mapping. Based on reduction and discrepancy mapping, we also provide two dynamic procedures.https://www.mdpi.com/2073-4336/14/4/51multicriteria statusreductiondiscrepancy mappingdynamic procedure |
spellingShingle | Yu-Hsien Liao Power Indices under Specific Multicriteria Status Games multicriteria status reduction discrepancy mapping dynamic procedure |
title | Power Indices under Specific Multicriteria Status |
title_full | Power Indices under Specific Multicriteria Status |
title_fullStr | Power Indices under Specific Multicriteria Status |
title_full_unstemmed | Power Indices under Specific Multicriteria Status |
title_short | Power Indices under Specific Multicriteria Status |
title_sort | power indices under specific multicriteria status |
topic | multicriteria status reduction discrepancy mapping dynamic procedure |
url | https://www.mdpi.com/2073-4336/14/4/51 |
work_keys_str_mv | AT yuhsienliao powerindicesunderspecificmulticriteriastatus |