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Variable Population Manipulations of Reallocation Rules in Economies with Single-Peaked Preferences

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  • Agustin G. Bonifacio

    (UNSL/CONICET)

Abstract

In a one-commodity economy with single-peaked preferences and individual endowments, we study different ways in which reallocation rules can be strategically distorted by affecting the set of active agents. We introduce and characterize the family of monotonic reallocation rules and show that each rule in this class is withdrawal-proof and endowments-merging-proof, at least one is endowments-splittingproof and that no such rule is pre-delivery-prof.

Suggested Citation

  • Agustin G. Bonifacio, 2023. "Variable Population Manipulations of Reallocation Rules in Economies with Single-Peaked Preferences," Working Papers 223, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:223
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    File URL: https://rednie.eco.unc.edu.ar/files/DT/223.pdf
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    References listed on IDEAS

    as
    1. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
    2. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    3. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
    4. 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.
    5. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
    6. Agustín Bonifacio, 2015. "Bribe-proof reallocation with single-peaked preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 617-638, March.
    7. Bernardo Moreno Jiménez, 1996. "The uniform rule in economies with single-peaked preferences, endowments and population-monotonicity," Working Papers. Serie AD 1996-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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    Cited by:

    1. William Thomson, 2024. "Constrained dictatorial rules are subject to variable-population paradoxes," Theory and Decision, Springer, vol. 97(2), pages 299-310, September.

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    More about this item

    Keywords

    single-peakedness; withdrawal-proofness; endowments-merging-proofness; endowments-splitting-proofness; pre-delivery-proofness.;
    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
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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