Documentos de trabajo DE - ES Lan Gaiak

Permanent URI for this collection

http://hdl.handle.net/2454/10509

Browse

Browsing Documentos de trabajo DE - ES Lan Gaiak by Author "Arin, Javier"

Now showing 1 - 2 of 2
  • Thumbnail Image
    PublicationOpen Access
    Claim problems and egalitarian criteria
    (2010) Arin, Javier; Benito Ostolaza, Juan Miguel; Economía; Ekonomia
    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.
  • Thumbnail Image
    PublicationOpen Access
    Lorenz and lexicographic maximal allocations for bankruptcy problems
    (2012) Arin, Javier; Benito Ostolaza, Juan Miguel; Economía; Ekonomia
    This paper investigates the use of egalitarian criteria to select allocations in bankruptcy problems. In our work, we characterize the sets of Lorenz maximal elements for these problems. We show that the allocation selected by the Proportional Rule is the only allocation that belongs to all these Lorenz maximal sets. We prove that the Talmud Rule selects the lexicographic maximal element within a certain set. We introduce and analyze a new sharing rule for bankruptcy problems that shares strong similarities with the Talmud Rule.