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Strategy-proof preference aggregation: Possibilities and characterizations

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  • Bossert, Walter
  • Sprumont, Yves
Abstract
An aggregation rule maps each profile of individual strict preference orderings over a set of alternatives into a social ordering over that set. We call such a rule strategy-proof if misreporting one's preference never produces a different social ordering that is between the original ordering and one's own preference. After describing two examples of manipulable rules, we study in some detail three classes of strategy-proof rules: (i) rules based on a monotonic alteration of the majority relation generated by the preference profile; (ii) rules improving upon a fixed status-quo; and (iii) rules generalizing the Condorcet–Kemeny aggregation method.

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  • Bossert, Walter & Sprumont, Yves, 2014. "Strategy-proof preference aggregation: Possibilities and characterizations," Games and Economic Behavior, Elsevier, vol. 85(C), pages 109-126.
    • Handle: RePEc:eee:gamebe:v:85:y:2014:i:c:p:109-126
    DOI: 10.1016/j.geb.2014.01.015
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    Cited by:

    1. Gilbert Laffond & Jean Lainé & M. Remzi Sanver, 2020. "Metrizable preferences over preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 177-191, June.
    2. Vannucci, Stefano, 2016. "Weakly unimodal domains, anti-exchange properties, and coalitional strategy-proofness of aggregation rules," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 56-67.
    3. Bettina Klaus & Panos Protopapas, 2020. "Solidarity for public goods under single-peaked preferences: characterizing target set correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 405-430, October.
    4. Kikuchi, Kazuya, 2016. "Comparing preference orders: Asymptotic independence," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 1-5.
    5. Burak Can & Peter Csoka & Emre Ergin, 2017. "How to choose a non-manipulable delegation?," CERS-IE WORKING PAPERS 1713, Institute of Economics, Centre for Economic and Regional Studies.
    6. Roy, Souvik & Storcken, Ton, 2019. "A characterization of possibility domains in strategic voting," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 46-55.
    7. Shin Sato, 2015. "Bounded response and the equivalence of nonmanipulability and independence of irrelevant alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 133-149, January.
    8. Klaus Nehring & Marcus Pivato, 2022. "The median rule in judgement aggregation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1051-1100, June.
    9. Jean Lainé & Ali Ozkes & Remzi Sanver, 2016. "Hyper-stable social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 157-182, January.
    10. Ernesto Savaglio & Stefano Vannucci, 2014. "Strategy-proofness and single-peackedness in bounded distributive lattices," Papers 1406.5120, arXiv.org.
    11. Athanasoglou, Stergios, 2019. "Solidarity and efficiency in preference aggregation: A tale of two rules," Games and Economic Behavior, Elsevier, vol. 118(C), pages 126-140.
    12. Hayrullah Dindar & Jean Lainé, 2022. "Compromise in combinatorial vote," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 175-206, July.
    13. Harless, Patrick, 2016. "Solidarity in preference aggregation: Improving on a status quo," Games and Economic Behavior, Elsevier, vol. 95(C), pages 73-87.
    14. Athanasoglou, Stergios, 2016. "Strategyproof and efficient preference aggregation with Kemeny-based criteria," Games and Economic Behavior, Elsevier, vol. 95(C), pages 156-167.
    15. Can, Burak & Csóka, Péter & Ergin, Emre, 2017. "How to choose a delegation for a peace conference?," Research Memorandum 008, Maastricht University, Graduate School of Business and Economics (GSBE).
    16. Stergios, Athanasoglou, 2017. "An investigation of weak-veto rules in preference aggregation," Working Papers 363, University of Milano-Bicocca, Department of Economics, revised 18 Feb 2017.
    17. Nehring, Klaus & Pivato, Marcus, 2019. "Majority rule in the absence of a majority," Journal of Economic Theory, Elsevier, vol. 183(C), pages 213-257.
    18. Lederer, Patrick, 2024. "Bivariate scoring rules: Unifying the characterizations of positional scoring rules and Kemeny's rule," Journal of Economic Theory, Elsevier, vol. 218(C).
    19. Bandhu, Sarvesh & Lahiri, Abhinaba & Pramanik, Anup, 2020. "A characterization of status quo rules in the binary social choice model," Economics Letters, Elsevier, vol. 191(C).
    20. Burak Can & Péter Csóka & Emre Ergin, 2021. "How to choose a fair delegation?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1339-1373, November.
    21. Ernesto Savaglio & Stefano Vannucci, 2022. "Strategy-proof aggregation rules in median semilattices with applications to preference aggregation," Papers 2208.12732, arXiv.org.
    22. Csóka, Péter & Kondor, Gábor, 2019. "Delegációk igazságos kiválasztása társadalmi választások elméletével [Choosing a fair delegation by social choice theory]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 771-787.
    23. Stergios Athanasoglou & Somouaoga Bonkoungou & Lars Ehlers, 2023. "Strategy-proof preference aggregation and the anonymity-neutrality tradeoff," Working Papers 519, University of Milano-Bicocca, Department of Economics.
    24. Kikuchi, Kazuya & 菊地, 和也, 2014. "Comparing Preference Orders:Asymptotic Independence," Discussion Papers 2014-06, Graduate School of Economics, Hitotsubashi University.
    25. Stergios, Athanasoglou, 2017. "Solidarity and efficiency in preference aggregation: a tale of two rules," Working Papers 390, University of Milano-Bicocca, Department of Economics, revised Nov 2018.

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    More about this item

    Keywords

    Preference aggregation; Strategy-proofness; Population monotonicity;
    All these keywords.

    JEL classification:

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

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