Review of Economic Design

, Volume 8, Issue 3, pp 249–268 | Cite as

Probabilistic assignments of identical indivisible objects and uniform probabilistic rules

  • Lars EhlersEmail author
  • Bettina Klaus


We consider a probabilistic approach to the problem of assigning k indivisible identical objects to a set of agents with single-peaked preferences. Using the ordinal extension of preferences we characterize the class of uniform probabilistic rules by Pareto efficiency, strategy-proofness, and no-envy. We also show that in this characterization no-envy cannot be replaced by anonymity. When agents are strictly risk averse von Neumann-Morgenstern utility maximizer, then we reduce the problem of assigning k identical objects to a problem of allocating the amount k of an infinitely divisible commodity.


Probabilistic rules single-peaked preferences strategy-proofness uniform allocations 


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Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.Départment de Sciences Économiques and CIREQUniversité de MontréalMontréalCanada
  2. 2.Departament d’Economia i d’História EconómicaUniversitat Autónoma de BarcelonaBellaterra (Barcelona)Spain

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