A Weighted Solution Concept under Replicated Behavior
In the framework of traditional transferable-utility (TU) models, the participants are either entirely involved or not involved in interactive processes with some other participants. Based on the distribution notion of the equal allocation of non-separable costs (EANSC), all participants first recei...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/150 |
| _version_ | 1797406809549438976 |
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| author | Yu-Hsien Liao |
| author_facet | Yu-Hsien Liao |
| author_sort | Yu-Hsien Liao |
| collection | DOAJ |
| description | In the framework of traditional transferable-utility (TU) models, the participants are either entirely involved or not involved in interactive processes with some other participants. Based on the distribution notion of the equal allocation of non-separable costs (EANSC), all participants first receive their marginal contributions and further distribute the remaining utilities equally. In real-world situations, however, participants might adopt different participation levels to participate. Moreover, participants might represent coalitions of different scales; participants might have corresponding influences under different situations. Thus, in this paper we propose a generalization of the EANSC by considering weights and replicated notions under conditions of multi-choice behavior simultaneously. In order to dissect the mathematical accuracy and the applied rationality of this expanded EANSC, a specific reduction is introduced to present an axiomatic result and a dynamic process, respectively. |
| first_indexed | 2024-03-09T03:31:58Z |
| format | Article |
| id | doaj.art-eeaec30a8cf24199a0464d61c4082b47 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T03:31:58Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-eeaec30a8cf24199a0464d61c4082b472023-12-03T14:54:54ZengMDPI AGMathematics2227-73902022-12-0111115010.3390/math11010150A Weighted Solution Concept under Replicated BehaviorYu-Hsien Liao0Department of Applied Mathematics, National Pingtung University, Pingtung 900, TaiwanIn the framework of traditional transferable-utility (TU) models, the participants are either entirely involved or not involved in interactive processes with some other participants. Based on the distribution notion of the equal allocation of non-separable costs (EANSC), all participants first receive their marginal contributions and further distribute the remaining utilities equally. In real-world situations, however, participants might adopt different participation levels to participate. Moreover, participants might represent coalitions of different scales; participants might have corresponding influences under different situations. Thus, in this paper we propose a generalization of the EANSC by considering weights and replicated notions under conditions of multi-choice behavior simultaneously. In order to dissect the mathematical accuracy and the applied rationality of this expanded EANSC, a specific reduction is introduced to present an axiomatic result and a dynamic process, respectively.https://www.mdpi.com/2227-7390/11/1/150the EANSCreplicated notionweight |
| spellingShingle | Yu-Hsien Liao A Weighted Solution Concept under Replicated Behavior Mathematics the EANSC replicated notion weight |
| title | A Weighted Solution Concept under Replicated Behavior |
| title_full | A Weighted Solution Concept under Replicated Behavior |
| title_fullStr | A Weighted Solution Concept under Replicated Behavior |
| title_full_unstemmed | A Weighted Solution Concept under Replicated Behavior |
| title_short | A Weighted Solution Concept under Replicated Behavior |
| title_sort | weighted solution concept under replicated behavior |
| topic | the EANSC replicated notion weight |
| url | https://www.mdpi.com/2227-7390/11/1/150 |
| work_keys_str_mv | AT yuhsienliao aweightedsolutionconceptunderreplicatedbehavior AT yuhsienliao weightedsolutionconceptunderreplicatedbehavior |