Social Choice and Welfare

, Volume 30, Issue 4, pp 603–617 | Cite as

Balanced allocation methods for claims problems with indivisibilities

  • Carmen Herrero
  • Ricardo Martínez
Original Paper


We study claims problems in which a certain amount of indivisible units (of an homogeneous good) has to be distributed among a group of agents, when this amount is not enough to fully satisfy agents’ demands. Our aim is to find solutions fulfilling procedural and fairness properties. To do that, we define the M-down methods, which are the unique robust (composition down and consistency) and fair (balancedness and conditional full compensation) rules. Besides, we also establish the relationship between these M-down methods and the constrained equal awards rule.


Bankruptcy Problem Claim Problem Small Claim Fairness Property Aggregate Loss 
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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Departamento de Fundamentos del Análisis Económico and Instituto Valenciano de Investigaciones EconómicasUniversity of AlicanteAlicanteSpain
  2. 2.Department of EconomicsBrown UniversityProvidenceUSA
  3. 3.Department of EconomicsPablo de Olavide UniversitySevillaSpain

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