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Claim Problems and Egalitarian Criteria


  • Javier Arin

    () (Departamento de Fundamentos del Análisis Económico-UPV/EHU)

  • Juan Miguel Benito

    () (Departamento de Economía-UPNA)


The paper presents a unified framework where claim and cost sharing problems are jointly analyzed. Both problems have the following common characteristic: given a proposal the agents valuate the suitability of the proposal in two ways, checking how much they loss and how much they gain. Taking this into account, we construct the vector of awards and losses for any proposal and we use different egalitarian criteria to select among these vectors. We use the Lorenz, the Least Square and the lexicographic criteria and we analyze the solutions arising from the application of these criteria in the sets of vectors of awards-losses. In particular, we characterize the members of two families of solutions: the family of Weighted Least Square Solutions and the family of Imputation Selector Weighted Least Square Solutions. The second family includes between its members well-known solutions as Constrained Equal Awards and Constrained Equal Losses solutions.

Suggested Citation

  • Javier Arin & Juan Miguel Benito, 2010. "Claim Problems and Egalitarian Criteria," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1001, Departamento de Economía - Universidad Pública de Navarra.
  • Handle: RePEc:nav:ecupna:1001

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    Cited by:

    1. Javier Arin & Juan Miguel Benito, 2012. "Lorenz and lexicographic maximal allocations for bankruptcy problems," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 1202, Departamento de Economía - Universidad Pública de Navarra.

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