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Additivity in bankruptcy problems and in allocation problems

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Author Info
Gustavo Bergantiños () (Departamento de Estadística, Facultade de Económicas, Universidade de Vigo, 36200 Vigo, Pontevedro, Spain Universidade de Santiago, Departamento de Métodos Cuantitativos para a Economía, Facultade de Ciencias Económicas e Empresariais, Avda. Xoán XXIII, s/n, 15704 Santiago de Compostela, Spain)
Luciano Méndez-Naya () (Departamento de Estadística, Facultade de Económicas, Universidade de Vigo, 36200 Vigo, Pontevedro, Spain Universidade de Santiago, Departamento de Métodos Cuantitativos para a Economía, Facultade de Ciencias Económicas e Empresariais, Avda. Xoán XXIII, s/n, 15704 Santiago de Compostela, Spain)

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Abstract

We study the property of additivity in bankruptcy problems and in allocation problems. In bankruptcy problems we use this property to characterize the Talmudic rule proposed by Rabbi Ibn Ezra. Moreover we generalize this rule to every bankruptcy problem. Again, using additivity we characterize the rights egalitarian solution in allocation problems.

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Publisher Info
Article provided by Springer in its journal Spanish Economic Review.

Volume (Year): 3 (2001)
Issue (Month): 3 ()
Pages: 223-229
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Handle: RePEc:spr:specre:v:3:y:2001:i:3:p:223-229

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Related research
Keywords: Additivity; bankruptcy problems; allocation problems;

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Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

Cited by:
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  1. José Alcalde & José Angel Silva & María del Carmen Marco, 2002. "Bankruptcy Games And The Ibn Ezra'S Proposal," Working Papers. Serie AD 2002-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  2. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "Additive rules in bankruptcy problems and other related problems," Game Theory and Information 0304001, EconWPA. [Downloadable!]
    Other versions:
  3. William Thomson, 2008. "Two families of rules for the adjudication of conflicting claims," Social Choice and Welfare, Springer, vol. 31(4), pages 667-692, December. [Downloadable!] (restricted)
    Other versions:
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This page was last updated on 2009-11-21.


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