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All sequential allotment rules are obviously strategy-proof

Author

Listed:
  • Arribillaga, R. Pablo

    (Instituto de Matemática Aplicada San Luis, Universidad Nacional de San Luis and CONICET)

  • Massó, Jordi

    (Universitat Autònoma de Barcelona and Barcelona School of Economics)

  • Neme, Alejandro

    (Instituto de Matemática Aplicada San Luis)

Abstract

For division problems with single-peaked preferences, we show that all sequential allotment rules, a large subfamily of strategy-proof and efficient rules, are also obviously strategy-proof. Although obvious strategy-proofness is in general more restrictive than strategy-proofness, this is not the case in this setting.

Suggested Citation

  • Arribillaga, R. Pablo & Massó, Jordi & Neme, Alejandro, 2023. "All sequential allotment rules are obviously strategy-proof," Theoretical Economics, Econometric Society, vol. 18(3), July.
  • Handle: RePEc:the:publsh:5111
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    References listed on IDEAS

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    1. Carmen Herrero & Ricardo Martínez, 2011. "Allocation problems with indivisibilities when preferences are single-peaked," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 453-467, December.
    2. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
    3. Carlos Alós-Ferrer & Klaus Ritzberger, 2013. "Large extensive form games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 75-102, January.
    4. Ashlagi, Itai & Gonczarowski, Yannai A., 2018. "Stable matching mechanisms are not obviously strategy-proof," Journal of Economic Theory, Elsevier, vol. 177(C), pages 405-425.
    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. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    8. Takuma Wakayama, 2017. "Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(2), pages 357-385, August.
    9. Mackenzie, Andrew, 2018. "A revelation principle for obviously strategy-proof implementation," Research Memorandum 014, Maastricht University, Graduate School of Business and Economics (GSBE).
    10. Mackenzie, Andrew, 2020. "A revelation principle for obviously strategy-proof implementation," Games and Economic Behavior, Elsevier, vol. 124(C), pages 512-533.
    11. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    12. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    13. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
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    Citations

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    Cited by:

    1. Mackenzie, Andrew, 2020. "A revelation principle for obviously strategy-proof implementation," Games and Economic Behavior, Elsevier, vol. 124(C), pages 512-533.
    2. Mackenzie, Andrew & Zhou, Yu, 2022. "Menu mechanisms," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Arribillaga, R. Pablo & Massó, Jordi & Neme, Alejandro, 2020. "On obvious strategy-proofness and single-peakedness," Journal of Economic Theory, Elsevier, vol. 186(C).
    4. Pablo R. Arribillaga & Jordi Massó & Alejandro Neme, 2023. "Obvious Strategy-proofness with Respect to a Partition," Working Papers 293, Red Nacional de Investigadores en Economía (RedNIE).
    5. Alexander L. Brown & Daniel G. Stephenson & Rodrigo A. Velez, 2024. "Testing the simplicity of strategy-proof mechanisms," Papers 2404.11883, arXiv.org.
    6. R. Pablo Arribillaga & Jordi Mass'o & Alejandro Neme, 2024. "Obvious Strategy-proofness with Respect to a Partition," Papers 2409.05315, arXiv.org.
    7. Louis Golowich & Shengwu Li, 2021. "On the Computational Properties of Obviously Strategy-Proof Mechanisms," Papers 2101.05149, arXiv.org, revised Oct 2022.
    8. Shengwu Li, 2024. "Designing Simple Mechanisms," Papers 2403.18694, arXiv.org, revised Jul 2024.

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    More about this item

    Keywords

    Obvious strategy-proofness; sequential sllotment rules; division problems; single-peaked preferences;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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