Consistency and Unanimity in the House Allocation Problems I: Collective Initial Endowments
AbstractThis paper studies allocation correspondences in the house allocation problems with collective initial endowments. We examine the implications of two axioms, namely "consistency" and "unanimity." Consistency requires the allocation correspondence be invariant under reductions of population. Unanimity requires the allocation correspondence respect unanimity, that is, it assigns to every agent the object that ranks best for him whenever possible. We prove that if an allocation correspondence satisfies these two axioms, then it is a subcorrespondence of the Pareto correspondence. Further, we give a characterization of the Pareto correspondence using a version of "converse consistency."
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Bibliographic InfoPaper provided by Institute of Social and Economic Research, Osaka University in its series ISER Discussion Paper with number 0657.
Date of creation: Mar 2006
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