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Sequential bankruptcy problems

Author

Listed:
  • Estévez-Fernández, Arantza
  • Giménez-Gómez, José-Manuel
  • Solís-Baltodano, María José

Abstract

In this paper, we analyze sequential bankruptcy problems, which generalize bankruptcy problems. They cover the problems of sharing water in a transboundary river and of allocating expedition rewards in projects. We propose the upwards mechanism for generalizing rules for bankruptcy problems to rules for sequential bankruptcy problems. Further, we characterize the upwards constrained equal awards, the upwards constrained equal losses, and the upwards proportional rules on the basis of upwards composition and upwards path independence.

Suggested Citation

  • Estévez-Fernández, Arantza & Giménez-Gómez, José-Manuel & Solís-Baltodano, María José, 2021. "Sequential bankruptcy problems," European Journal of Operational Research, Elsevier, vol. 292(1), pages 388-395.
    • Handle: RePEc:eee:ejores:v:292:y:2021:i:1:p:388-395
    DOI: 10.1016/j.ejor.2020.10.038
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    Cited by:

    1. Yuzhi Yang & Erik Ansink & Jens Gudmundsson, 2023. "How to Pollute a River If You Must," Tinbergen Institute Discussion Papers 23-036/VIII, Tinbergen Institute, revised 01 Jun 2024.
    2. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," European Journal of Operational Research, Elsevier, vol. 302(2), pages 740-751.

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