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original papers : Uniform allocation and reallocation revisited

Author

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  • Bettina Klaus

    (Department of Economics, University of Nebraska at Lincoln, Lincoln, NE 68588-0489, USA)

Abstract

Thomson (1995a) proved that the uniform allocation rule is the only allocation rule for allocation economies with single-peaked preferences that satisfies Pareto efficiency, no-envy,one-sided population-monotonicity, and replication-invariance on a restricted domain of single-peaked preferences. We prove that this result also holds on the unrestricted domain of single-peaked preferences. Next, replacing one-sided population-monotonicity by one-sided replacement-domination yields another characterization of the uniform allocation rule, Thomson (1997a). We show how this result can be extended to the more general framework of reallocation economies with individual endowments and single-peaked preferences. Following Thomson (1995b) we present allocation and reallocation economies in a unified framework of open economies.

Suggested Citation

  • Bettina Klaus, 2001. "original papers : Uniform allocation and reallocation revisited," Review of Economic Design, Springer;Society for Economic Design, vol. 6(1), pages 85-98.
    • Handle: RePEc:spr:reecde:v:6:y:2001:i:1:p:85-98
    Note: Received: 20 February 1999 / Accepted: 15 February 2000
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    Citations

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    Cited by:

    1. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506, Elsevier.
    2. Kazuhiko Hashimoto & Takuma Wakayama, 2021. "Fair reallocation in economies with single-peaked preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(3), pages 773-785, September.
    3. Zhen Zhao & Shinji Ohseto, 2022. "Strategy-proof and fair reallocation with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 791-800, May.

    More about this item

    Keywords

    Fair allocation and reallocation; open economies; single-peaked preferences; population-monotonicity; replacement-domination;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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