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Strategy‐Proofness and the Tops‐Only Property

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  • JOHN A. WEYMARK

Abstract

A social choice function satisfies the tops‐only property if the chosen alternative only depends on each person's report of his most‐preferred alternatives on the range of this function. On many domains, strategy‐proofness implies the tops‐only property provided that the range of the social choice function satisfies some regularity condition. The existing proofs of this result are model specific. In this paper, a general proof strategy is proposed for showing that a strategy‐proof social choice function satisfies the tops‐only property when everyone has the same set of admissible preferences.

Suggested Citation

  • John A. Weymark, 2008. "Strategy‐Proofness and the Tops‐Only Property," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 7-26, February.
    • Handle: RePEc:bla:jpbect:v:10:y:2008:i:1:p:7-26
    DOI: 10.1111/j.1467-9779.2008.00349.x
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    Cited by:

    1. John Weymark, 2011. "A unified approach to strategy-proofness for single-peaked preferences," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 529-550, December.
    2. Chatterji, Shurojit & Zeng, Huaxia, 2018. "On random social choice functions with the tops-only property," Games and Economic Behavior, Elsevier, vol. 109(C), pages 413-435.
    3. Semin Kim, 2016. "Incentive Compatibility On The Domain Of Singlepeaked Preferences," Working papers 2016rwp-96, Yonsei University, Yonsei Economics Research Institute.
    4. Salvador Barberà & Walter Bossert & Kotaro Suzumura, 2021. "Daunou’s voting rule and the lexicographic assignment of priorities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 259-289, February.
    5. Shurojit Chatterji & Huaxia Zeng, 2022. "A Taxonomy of Non-dictatorial Unidimensional Domains," Papers 2201.00496, arXiv.org, revised Oct 2022.
    6. Donald Campbell & Jerry Kelly, 2013. "Relaxing IIA and the effect on individual power," Review of Economic Design, Springer;Society for Economic Design, vol. 17(3), pages 165-181, September.
    7. Bonifacio, Agustín G. & Massó, Jordi, 2021. "Corrigendum to "On strategy-proofness and semilattice single-peakedness" [Games Econ. Behav. 124 (2020) 219–238]," Games and Economic Behavior, Elsevier, vol. 130(C), pages 684-689.
    8. ,, 2009. "Strategy-proofness and single-crossing," Theoretical Economics, Econometric Society, vol. 4(2), June.
    9. Mishra, Debasis, 2016. "Ordinal Bayesian incentive compatibility in restricted domains," Journal of Economic Theory, Elsevier, vol. 163(C), pages 925-954.
    10. Mishra, Debasis & Roy, Souvik, 2012. "Strategy-proof partitioning," Games and Economic Behavior, Elsevier, vol. 76(1), pages 285-300.
    11. Hayrullah Dindar & Onur Doğan & Jean Lainé, 2025. "Minimally strategy-proof rank aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 65(1), pages 117-147, August.
    12. Chatterji, Shurojit & Zeng, Huaxia, 2019. "Random mechanism design on multidimensional domains," Journal of Economic Theory, Elsevier, vol. 182(C), pages 25-105.
    13. 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.
    14. Shurojit Chatterji & Arunava Sen, 2011. "Tops-only domains," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 255-282, February.
    15. Chatterji, Shurojit & Sen, Arunava & Zeng, Huaxia, 2016. "A characterization of single-peaked preferences via random social choice functions," Theoretical Economics, Econometric Society, vol. 11(2), May.
    16. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    17. Miho Hong & Semin Kim, 2018. "Unanimity and Local Incentive Compatibility," Working papers 2018rwp-138, Yonsei University, Yonsei Economics Research Institute.
    18. Aziz, Haris & Lam, Alexander & Lee, Barton E. & Walsh, Toby, 2025. "Proportionality-based fairness and strategyproofness in the facility location problem," Journal of Mathematical Economics, Elsevier, vol. 119(C).
    19. Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
    20. Alejandro Saporiti, 2006. "Strategic voting on single-crossing domains," Economics Discussion Paper Series 0617, Economics, The University of Manchester.
    21. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    22. Miho Hong & Semin Kim, 2023. "Unanimity and local incentive compatibility in sparsely connected domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(2), pages 385-411, August.

    More about this item

    JEL classification:

    • 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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