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- Preeminence And Sustainability In Bankruptcy Problems

Author

Listed:
  • Antonio Villar Notario

    (Instituto Valenciano de Investigaciones Económicas)

  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

Abstract

This paper focuses on two new properties for bankruptcy rules: preeminence and sustainability. Theypertain to situations when the claims of some agents are much larger than the claims of otheragents. They differ in the way the recommend agents with small claims to be treated. Preeminencerequires that the agents with very small claims should no be allotted anything. Sustainability takesthe opposite side: claims small enough should be fully honored. Our main results are that the equaltreatment of equals, composition and preeminence, and that the constrained equal-award rule is theonly rule that satisfies equal treatment of equals, path independence and sustainability.

Suggested Citation

  • Antonio Villar Notario & Carmen Herrero Blanco, 1998. "- Preeminence And Sustainability In Bankruptcy Problems," Working Papers. Serie AD 1998-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:1998-17
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1998-17.pdf
    File Function: Fisrt version / Primera version, 1998
    Download Restriction: no

    References listed on IDEAS

    as
    1. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
    2. Herrero, Carmen & Marco, Maria Carmen, 1993. "Rational equal-loss solutions for bargaining problems," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 273-286, November.
    3. Dagan, Nir & Volij, Oscar, 1993. "The bankruptcy problem: a cooperative bargaining approach," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 287-297, November.
    4. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 51-59, January.
    5. Antonio Villar Notario & Carmen Herrero Blanco, 1996. "Agenda independence in allocation problems with single-peaked preferences," Working Papers. Serie AD 1996-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January.
    7. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
    8. Chun, Youngsub, 1988. "The equal-loss principle for bargaining problems," Economics Letters, Elsevier, vol. 26(2), pages 103-106.
    9. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    10. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    11. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Silvia Lorenzo-Freire & Balbina Casas-Méndez & Ruud Hendrickx, 2010. "The two-stage constrained equal awards and losses rules for multi-issue allocation situations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(2), pages 465-480, December.

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