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.)
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  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>
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  Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Nov2025, Vol. 375, p308-315. 8p.
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  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]
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  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
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      – Code: eng
        Text: English
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      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.
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            NameFull: Zhang, Li
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            NameFull: Xu, Genjiu
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            NameFull: Sun, Hao
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            NameFull: Li, Wenzhong
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            – D: 15
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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              Value: 0166218X
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              Value: 375
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            – TitleFull: Discrete Applied Mathematics
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