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Characterization of solutions for bankruptcy problems

Author

Listed:
  • Elvio Accinelli

    (Facultad de Economía, Universidad Autónoma de san Luis Potosí. Departamento de Economía, Facultad de Ciencias Sociales, Universidad de la República)

  • Leobardo Plata

    (Facultad de Economía, Universidad Autónoma de san Luis Potosí.)

  • Joss Sánchez

    (Facultad de Economía, Universidad Autónoma de san Luis Potosí.)

Abstract

This paper provides an analysis of solutions to bankruptcy problems from an axiomatic point of view. In particular, we provide characterizations of certain classes of solutions involving the properties of linearity, symmetry and efficiency. Furthermore, we show that there is a unique solution satisfying the previous axioms and inessentiality.

Suggested Citation

  • Elvio Accinelli & Leobardo Plata & Joss Sánchez, 2011. "Characterization of solutions for bankruptcy problems," Documentos de Trabajo (working papers) 1911, Department of Economics - dECON.
    • Handle: RePEc:ude:wpaper:1911
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    File URL: https://hdl.handle.net/20.500.12008/2209
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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.
    2. H. Peyton Young, 1987. "On Dividing an Amount According to Individual Claims or Liabilities," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 398-414, August.
    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. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    5. 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.
    6. 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.
    7. He, Jia & Ng, Lilian K, 1994. "Economic Forces, Fundamental Variables, and Equity Returns," The Journal of Business, University of Chicago Press, vol. 67(4), pages 599-609, October.
    8. 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.
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    More about this item

    Keywords

    Bankruptcy problems; axiomatic solutions.;

    JEL classification:

    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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