Ordinal efficiency and dominated sets of assignments.

Using lotteries is a common tool for allocating indivisible goods. Since obtaining preferences over lotteries is often difficult, real-life mechanisms usually rely on ordinal preferences over deterministic outcomes. Bogomolnaia and Moulin (J. Econom. Theory 19 (2002) 623) show that the outcome of an...

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Publicado en:Journal of Economic Theory Vol. 112; no. 1; pp. 157 - 173
Autores principales: Abdulkadiroğlu, Atila, Sönmez, Tayfun
Formato: Artículo
Publicado: Academic Press Inc. September 2003
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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          Abdulkadiroğlu, Atila
          Sönmez, Tayfun
      su:
        Resource allocation -- Mathematical models
        Random variables
        Housing
        Mathematical models of supply & demand
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          Resource allocation -- Mathematical models
          Random variables
          Housing
          Mathematical models of supply & demand
      ab: Using lotteries is a common tool for allocating indivisible goods. Since obtaining preferences over lotteries is often difficult, real-life mechanisms usually rely on ordinal preferences over deterministic outcomes. Bogomolnaia and Moulin (J. Econom. Theory 19 (2002) 623) show that the outcome of an ex post efficient mechanism may be stochastically dominated. They define a random assignment to be ordinally efficient if and only if it is not stochastically dominated. In this paper we investigate the relation between ex post efficiency and ordinal efficiency. We introduce a new notion of domination defined over sets of assignments and show that a lottery induces an ordinally efficient random assignment if and only if each subset of the full support of the lottery is undominated. Copyright (c) 2003 Elsevier (USA)
      pubtype: Academic Journal
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    language: English
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