JournalsrlmVol. 33, No. 1pp. 161–192

Integer solutions to bankruptcy problems: The IPROP solution

  • Vito Fragnelli

    Università degli Studi del Piemonte Orientale “Amedeo Avogadro”, Alessandria, Italy
  • Fabio Gastaldi

    Università degli Studi del Piemonte Orientale “Amedeo Avogadro”, Alessandria, Italy
Integer solutions to bankruptcy problems: The IPROP solution cover
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Abstract

A widely studied problem is that of a bankruptcy, where several agents claim different amounts of a resource, the estate , that is not enough to satisfy all claims. In some occurrences, the estate is made by integer unities: several contributors (among them also the authors) have proposed different approaches related to some of the classical apportionment rules. In this paper, we analyze the possibility of extending the proportional method to the integer situation which occurs, typically, when the seats in a Parliament are assigned according to a proportional electoral law: our aim is to provide an approach, different from the usual round, and give rests strategy (which may lead to paradoxes), enough intuitive and easily applicable.

Cite this article

Vito Fragnelli, Fabio Gastaldi, Integer solutions to bankruptcy problems: The IPROP solution. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 1, pp. 161–192

DOI 10.4171/RLM/968