Sharing the losses of a hierarchical venture.
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| Title: | Sharing the losses of a hierarchical venture. |
|---|---|
| Authors: | Zhang, Li1,2 (AUTHOR) zhangli0615@mail.nwpu.edu.cn, Xu, Genjiu1,2,3 (AUTHOR) xugenjiu@nwpu.edu.cn, Sun, Hao2,3 (AUTHOR) hsun@nwpu.edu.cn, Li, Wenzhong2,3 (AUTHOR) liwenzhong@nwpu.edu.cn |
| Source: | Discrete Applied Mathematics. Nov2025, Vol. 375, p308-315. 8p. |
| Subjects: | Television game programs, Decision making, Sharing, Games |
| Abstract: | When agents within a hierarchical venture face deficits, the losses may not solely be attributed to the agents themselves but could also stem from their superiors' decision-making errors. The problem is about how to distribute these losses fairly. We formalize a loss-sharing model and introduce the k -level equal division rule to address this issue. Next, two axiomatizations are provided for this rule. Moreover, we define a related game and show that the above rule coincides with the Shapley value of this game. [ABSTRACT FROM AUTHOR] |
| Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 186641705 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Sharing the losses of a hierarchical venture. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Li%22">Zhang, Li</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> zhangli0615@mail.nwpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Genjiu%22">Xu, Genjiu</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> xugenjiu@nwpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+Hao%22">Sun, Hao</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> hsun@nwpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Wenzhong%22">Li, Wenzhong</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> liwenzhong@nwpu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Nov2025, Vol. 375, p308-315. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Television+game+programs%22">Television game programs</searchLink><br /><searchLink fieldCode="DE" term="%22Decision+making%22">Decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Sharing%22">Sharing</searchLink><br /><searchLink fieldCode="DE" term="%22Games%22">Games</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: When agents within a hierarchical venture face deficits, the losses may not solely be attributed to the agents themselves but could also stem from their superiors' decision-making errors. The problem is about how to distribute these losses fairly. We formalize a loss-sharing model and introduce the k -level equal division rule to address this issue. Next, two axiomatizations are provided for this rule. Moreover, we define a related game and show that the above rule coincides with the Shapley value of this game. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.dam.2025.06.015 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 308 Subjects: – SubjectFull: Television game programs Type: general – SubjectFull: Decision making Type: general – SubjectFull: Sharing Type: general – SubjectFull: Games Type: general Titles: – TitleFull: Sharing the losses of a hierarchical venture. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Li – PersonEntity: Name: NameFull: Xu, Genjiu – PersonEntity: Name: NameFull: Sun, Hao – PersonEntity: Name: NameFull: Li, Wenzhong IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 11 Text: Nov2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 0166218X Numbering: – Type: volume Value: 375 Titles: – TitleFull: Discrete Applied Mathematics Type: main |
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