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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Main Author: Yu-Hsien Liao
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Games
Subjects:
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.
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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