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A strategy-proofness characterization of majority rule

Author

Listed:
  • Donald E. Campbell
  • Jerry S. Kelly

Abstract

A feasible alternative x is a strong Condorcet winner if for every other feasible alternative y there is some majority coalition that prefers x to y. Let (resp., denote the set of all profiles of linear (resp., merely asymmetric) individual preference relations for which a strong Condorcet winner exists. Majority rule is the only non-dictatorial and strategy-proof social choice rule with domain , and majority rule is the only strategy-proof rule with domain . Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Donald E. Campbell & Jerry S. Kelly, 2003. "A strategy-proofness characterization of majority rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 557-568, October.
    • Handle: RePEc:spr:joecth:v:22:y:2003:i:3:p:557-568
    DOI: 10.1007/s00199-002-0344-1
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    Citations

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    Cited by:

    1. Marek Pycia & M. Utku Ünver, 2021. "Arrovian Efficiency and Auditability in Discrete Mechanism Design," Boston College Working Papers in Economics 1044, Boston College Department of Economics.
    2. Susumu Cato, 2011. "Pareto principles, positive responsiveness, and majority decisions," Theory and Decision, Springer, vol. 71(4), pages 503-518, October.
    3. Brandt, Felix & Lederer, Patrick, 2023. "Characterizing the top cycle via strategyproofness," Theoretical Economics, Econometric Society, vol. 18(2), May.
    4. ,, 2009. "Strategy-proofness and single-crossing," Theoretical Economics, Econometric Society, vol. 4(2), June.
    5. Merrill, Lauren Nicole, 2011. "Parity dependence of a majority rule characterization on the Condorcet domain," Economics Letters, Elsevier, vol. 112(3), pages 259-261, September.
    6. Campbell, Donald E. & Kelly, Jerry S., 2010. "Strategy-proofness and weighted voting," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 15-23, July.
    7. Aleksei Y. Kondratev & Alexander S. Nesterov, 2020. "Measuring majority power and veto power of voting rules," Public Choice, Springer, vol. 183(1), pages 187-210, April.
    8. Florian Brandl & Felix Brandt & Christian Stricker, 2022. "An analytical and experimental comparison of maximal lottery schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 5-38, January.
    9. Alejandro Saporiti & Fernando Tohmé, 2006. "Single-Crossing, Strategic Voting and the Median Choice Rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 363-383, April.
    10. Lauren N. Merrill, 2007. "A Characterization of Strategy-Proof Rules over the Condorcet Domain with an Even Number of Individuals," Working Papers 60, Department of Economics, College of William and Mary.
    11. Campbell, Donald E. & Kelly, Jerry S., 2015. "Anonymous, neutral, and strategy-proof rules on the Condorcet domain," Economics Letters, Elsevier, vol. 128(C), pages 79-82.
    12. José Luis Garcí a-Lapresta & Bonifacio Llamazares, 2010. "Preference Intensities and Majority Decisions Based on Difference of Support Between Alternatives," Group Decision and Negotiation, Springer, vol. 19(6), pages 527-542, November.
    13. Powers, Robert C. & Wells, Flannery, 2023. "Another strategy-proofness characterization of majority rule," Mathematical Social Sciences, Elsevier, vol. 122(C), pages 42-49.
    14. Stefano Vannucci, 2019. "Majority judgment and strategy-proofness: a characterization," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 863-886, September.
    15. Felix Brand & Patrick Lederer & Sascha Tausch, 2023. "Strategyproof Social Decision Schemes on Super Condorcet Domains," Papers 2302.12140, arXiv.org.
    16. Alexander Karpov & Klas Markstrom & S{o}ren Riis & Bei Zhou, 2024. "Local Diversity of Condorcet Domains," Papers 2401.11912, arXiv.org.
    17. Campbell, Donald E. & Kelly, Jerry S., 2006. "Social welfare functions generating social choice rules that are invulnerable to manipulation," Mathematical Social Sciences, Elsevier, vol. 51(1), pages 81-89, January.
    18. Alejandro Saporiti, 2006. "Strategic voting on single-crossing domains," Economics Discussion Paper Series 0617, Economics, The University of Manchester.
    19. Llamazares, Bonifacio, 2006. "The forgotten decision rules: Majority rules based on difference of votes," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 311-326, May.

    More about this item

    Keywords

    Keywords and Phrases: Condorcet; Majority winner; Strategy-proof.; JEL Classification Numbers: D70; D71.;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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