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Strong Composition Down. Characterizations Of New And Classical Bankruptcy Rules

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  • Ricardo Martínez

    (Brown University)

Abstract

This paper is devoted to the study of claims problems. We identify the family of rules that satisfy strong composition down (robustness with respect to reevaluations of the estate) and consistency (robustness with respect to changes in the set of agents) together. We call to that family the backbone family, which is a generalization of the weighted constrained equal awards rules. In addition, once strong composition down is combined with homogeneity only the weighted constrained equal awards rules survive. We also prove that the constrained equal awards rule is the unique rules satisfying strong composition down and equal treatment of equals together.

Suggested Citation

  • Ricardo Martínez, 2007. "Strong Composition Down. Characterizations Of New And Classical Bankruptcy Rules," Working Papers. Serie AD 2007-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2007-20
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2007-20.pdf
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    References listed on IDEAS

    as
    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 511-520.
    3. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    4. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    5. Youngsub Chun, 1999. "Equivalence of Axioms for Bankruptcy Problems," Working Paper Series no1, Institute of Economic Research, Seoul National University.
    6. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    7. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
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    Cited by:

    1. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.

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    More about this item

    Keywords

    strong composition down; backbone rules; constrained equal awards rule; weighted constrained equal awards rules;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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