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Remarks on solidarity in bankruptcy problems when agents merge or split

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  • Calleja, Pedro
  • Llerena, Francesc
  • Sudhölter, Peter

Abstract

In this note, we investigate the relationship between non-manipulability via merging (splitting) and strong non-manipulability via merging (splitting). Our analysis reveals that while these two non-manipulability axioms are generally not equivalent, they do coincide when the principle of solidarity is satisfied. This principle is fulfilled by a wide range of bankruptcy rules, including parametric rules.

Suggested Citation

  • Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2023. "Remarks on solidarity in bankruptcy problems when agents merge or split," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 61-64.
    • Handle: RePEc:eee:matsoc:v:125:y:2023:i:c:p:61-64
    DOI: 10.1016/j.mathsocsci.2023.07.004
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    References listed on IDEAS

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    1. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
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    4. Calleja, Pedro & Llerena, Francesc, 2022. "Non-manipulability by clones in bankruptcy problems," Economics Letters, Elsevier, vol. 221(C).
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    9. 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.
    10. 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.
    11. 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.
    12. Sudhölter, Peter & Calleja, Pedro & Llerena, Francesc, 2021. "On manipulability in financial systems," Discussion Papers on Economics 8/2021, University of Southern Denmark, Department of Economics.
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    Cited by:

    1. Michel Grabisch & Hervé Moulin & José Manuel Zarzuelo, 2024. "Professor Peter Sudhölter (1957–2024)," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 289-294, June.

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