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All sequential allotment rules are obviously strategy-proof

Author

Listed:
  • Pablo Arribillaga

    (Universidad de San Luis/CONICET)

  • Jordi Massó

    (Universitat Autonoma de Barcelona)

  • Alejandro Neme

    (Universidad de San Luis/CONICET)

Abstract

For division problems with single-peaked preferences (Sprumont, 1991) we show that all sequential allotment rules, identified by Barberà, Jackson and Neme (1997) as the class of strategy-proof, eficient and replacement monotonic 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

  • Pablo Arribillaga & Jordi Massó & Alejandro Neme, 2021. "All sequential allotment rules are obviously strategy-proof," Working Papers 49, Red Nacional de Investigadores en Economía (RedNIE).
    • Handle: RePEc:aoz:wpaper:49
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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. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    3. 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.
    4. Moulin, Hervé, 2017. "One dimensional mechanism design," Theoretical Economics, Econometric Society, vol. 12(2), May.
    5. 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.
    6. Mackenzie, Andrew, 2018. "A revelation principle for obviously strategy-proof implementation," Research Memorandum 014, Maastricht University, Graduate School of Business and Economics (GSBE).
    7. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    8. 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.
    9. 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.
    10. 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.
    11. Mackenzie, Andrew, 2020. "A revelation principle for obviously strategy-proof implementation," Games and Economic Behavior, Elsevier, vol. 124(C), pages 512-533.
    12. 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.
    13. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
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    Citations

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    Cited by:

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

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    More about this item

    Keywords

    Obvious Strategy-proofness Sequential Allotment Rules Division Problems Single-peaked Preferences;

    JEL classification:

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

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