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Families of sequential priority rules and random arrival rules with withdrawal limits

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  • Sanchez-Soriano, Joaquin

Abstract

This paper deals with extensions of the family of sequential priority rules and the random arrival rule for bankruptcy problems when withdrawal limits are fixed by an arbitrator. We assume two approaches to limit withdrawals. The first is based on the principle that agents can only obtain at most a fixed part of the endowment each time they qualify for an award, and the second that agents can only receive at most a proportion of their claims each time they are attended. For each approach we introduce two pairs of families, each consisting of a sequential priority rule-like family and a random arrival rule-like family. Applying the first approach, we show that the constrained equal awards rule belongs to each of the families. In the second, we prove the same for the proportional rule. We study in detail one pair of families for each approach, and the others are examined in relation to them.

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  • Sanchez-Soriano, Joaquin, 2021. "Families of sequential priority rules and random arrival rules with withdrawal limits," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 136-148.
    • Handle: RePEc:eee:matsoc:v:113:y:2021:i:c:p:136-148
    DOI: 10.1016/j.mathsocsci.2021.06.002
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    Cited by:

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    2. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2022. "Sharing sequentially triggered losses: Automatic conflict resolution through smart contracts," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    3. Bas Dietzenbacher & Yuki Tamura & William Thomson, 2024. "Partial-implementation invariance and claims problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 203-229, August.
    4. Qianqian Kong & Hans Peters, 2023. "Sequential claim games," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(3), pages 955-975, September.
    5. Rick K. Acosta-Vega & Encarnaci'on Algaba & Joaqu'in S'anchez-Soriano, 2022. "On priority in multi-issue bankruptcy problems with crossed claims," Papers 2205.00450, arXiv.org, revised Sep 2022.

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