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Equal probability for the best and the assignment of identical indivisible objects

Author

Listed:
  • Wataru KUREISHI

    (Graduate School of Economics, Osaka University)

  • Hideki MIZUKAMI

    (Faculty of Economics, University of Toyama)

Abstract

We consider the problem of allocating several units of an indivisible object among agents with single-peaked utility functions. We introduce an axiom called equal probability for the best, and show that it is equivalent to both equal treatment of equals and symmetry in the presence of Pareto optimality. Moreover, we also show that the randomized uniform rule is the only randomized rule satisfying strategy-proofness, Pareto optimality, and equal probability for the best.

Suggested Citation

  • Wataru KUREISHI & Hideki MIZUKAMI, 2007. "Equal probability for the best and the assignment of identical indivisible objects," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-10.
    • Handle: RePEc:ebl:ecbull:eb-06d60003
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    References listed on IDEAS

    as
    1. Lars Ehlers & Bettina Klaus, 2003. "Probabilistic assignments of identical indivisible objects and uniform probabilistic rules," Review of Economic Design, Springer;Society for Economic Design, vol. 8(3), pages 249-268, October.
    2. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
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    Cited by:

    1. Kentaro Hatsumi & Shigehiro Serizawa, 2009. "Coalitionally strategy-proof rules in allotment economies with homogeneous indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 423-447, September.
    2. Yoichi Kasajima, 2013. "Probabilistic assignment of indivisible goods with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 203-215, June.

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    More about this item

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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