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A note on solidarity in bankruptcy problems when agents merge or split

Author

Listed:
  • Sudhölter, Peter

    (Department of Economics)

  • Calleja, Pedro

    (Department of Economics)

  • Llerena, Francesc

    (Department of Economics)

Abstract

We explore the relationship between non-manipulability via merging (splitting) and strong non-manipulability via merging (splitting). We show that although, in general, these non-manipulability properties are not equivalent, under the principle of solidarity, fulfilled by a wide range of bankruptcy rules including parametric rules, they coincide.

Suggested Citation

  • Sudhölter, Peter & Calleja, Pedro & Llerena, Francesc, 2023. "A note on solidarity in bankruptcy problems when agents merge or split," Discussion Papers on Economics 1/2023, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2023_001
    as

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    File URL: https://www.sdu.dk/-/media/files/om_sdu/institutter/ivoe/disc_papers/disc_2023/dpe1_2023/dpe1_2023.pdf
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    References listed on IDEAS

    as
    1. Biung-Ghi Ju & Juan Moreno-Ternero, 2011. "Progressive and merging-proof taxation," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 43-62, February.
    2. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
    3. Pedro Calleja & Francesc Llerena, 2022. "Non-manipulability by clones in bankruptcy problems," UB School of Economics Working Papers 2022/426, University of Barcelona School of Economics.
    4. H. Peyton Young, 1987. "On Dividing an Amount According to Individual Claims or Liabilities," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 398-414, August.
    5. Calleja, Pedro & Llerena, Francesc, 2022. "Non-manipulability by clones in bankruptcy problems," Economics Letters, Elsevier, vol. 221(C).
    6. Biung-Ghi Ju, 2003. "Manipulation via merging and splitting in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 205-215, October.
    7. Ju, Biung-Ghi, 2013. "Coalitional manipulation on networks," Journal of Economic Theory, Elsevier, vol. 148(2), pages 627-662.
    8. Juan D. Moreno-Ternero, 2006. "Proportionality And Non-Manipulability In Bankruptcy Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 127-139.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    non-manipulability via merging or splitting; solidarity; bankruptcy rule;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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