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Obvious manipulations, consistency, and the uniform rule

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  • R. Pablo Arribillaga
  • Agustin G. Bonifacio

Abstract

In the problem of fully allocating an infinitely divisible commodity among agents whose preferences are single-peaked, we show that the uniform rule is the only allocation rule that satisfies efficiency, the equal division guarantee, consistency, and non-obvious manipulability.

Suggested Citation

  • R. Pablo Arribillaga & Agustin G. Bonifacio, 2024. "Obvious manipulations, consistency, and the uniform rule," Papers 2412.12495, arXiv.org.
    • Handle: RePEc:arx:papers:2412.12495
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    References listed on IDEAS

    as
    1. Arribillaga, R. Pablo & Bonifacio, Agustín G., 2024. "Obvious manipulations of tops-only voting rules," Games and Economic Behavior, Elsevier, vol. 143(C), pages 12-24.
    2. R. Pablo Arribillaga & Agustín G. Bonifacio, 2025. "Not obviously manipulable allotment rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 80(1), pages 355-380, August.
    3. Troyan, Peter & Morrill, Thayer, 2020. "Obvious manipulations," Journal of Economic Theory, Elsevier, vol. 185(C).
    4. Josué Ortega & Erel Segal-Halevi, 2022. "Obvious manipulations in cake-cutting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 969-988, November.
    5. 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.
    6. 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.
    7. Thomson, William, 2012. "On The Axiomatics Of Resource Allocation: Interpreting The Consistency Principle," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 385-421, November.
    8. Sonmez, Tayfun, 1994. "Consistency, monotonicity, and the uniform rule," Economics Letters, Elsevier, vol. 46(3), pages 229-235, November.
    9. Arribillaga, R. Pablo & Pepa Risma, Eliana, 2025. "Obvious manipulations in matching with and without contracts," Games and Economic Behavior, Elsevier, vol. 151(C), pages 70-81.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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