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A simple random assignment problem with a unique solution

Author

Listed:
  • Hervé Moulin

    () (Department of Economics, MS 22, P.O. Box 1892, Rice University, Houston, TX 77251-1892,USA)

  • Anna Bogomolnaia

    () (Department of Economics, Southern Methodist University, Dallas, TX 75275-0496, USA)

Abstract

All agents have the same ordinal ranking over all objects, receiving no object (opting out) may be preferable to some objects, agents differ on which objects are worse than opting out, and the latter information is private. The Probabilistic Serial assignment, improves upon (in the Pareto sense) the Random Priority assignment, that randomly orders the agents and offers them successively the most valuable remaining object. We characterize Probabilistic Serial by efficiency in an ordinal sense, and envy-freeness. We characterize it also by ordinal efficiency, strategyproofness and equal treatment of equals.

Suggested Citation

  • Hervé Moulin & Anna Bogomolnaia, 2002. "A simple random assignment problem with a unique solution," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(3), pages 623-636.
  • Handle: RePEc:spr:joecth:v:19:y:2002:i:3:p:623-636
    Note: Received: October 5, 1999; revised version: December 20, 2000
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    Cited by:

    1. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.

    More about this item

    Keywords

    Random assignment; No Envy; Strategyproofness; Priority.;

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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