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Daunou’s voting rule and the lexicographic assignment of priorities

Author

Listed:
  • Salvador Barberà

    (MOVE, Universitat Autònoma de Barcelona and Barcelona GSE Facultat d’Economia i Empresa)

  • Walter Bossert

    (Centre Interuniversitaire de Recherche en Economie Quantitative (CIREQ) University of Montreal)

  • Kotaro Suzumura

    (School of Political Science and Economics Waseda University)

Abstract

Pierre Daunou, a contemporary of Borda and Condorcet during the era of the French Revolution and active debates on alternative voting rules, proposed a rule that chooses the strong Condorcet winner if there is one, otherwise eliminates Condorcet losers and uses plurality voting on the remaining candidates. We characterize his rule which combines potentially conflicting desiderata of majoritarianism by ordering them lexicographically. This contribution serves not just to remind ourselves that a 19th-century vintage may still retain excellent aroma and taste, but also to promote a promising general approach to reconcile potentially conflicting desiderata by accommodating them lexicographically. Journal of Economic Literature Classification Nos.: D71, D72.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:56:y:2021:i:2:d:10.1007_s00355-020-01276-w
    DOI: 10.1007/s00355-020-01276-w
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    1. Koichi Tadenuma, 2008. "Choice-Consistent Resolutions of the Efficiency-Equity Trade-Off," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 119-138, Springer.
    2. Deb, Rajat & Pattanaik, Prasanta K. & Razzolini, Laura, 1997. "Game Forms, Rights, and the Efficiency of Social Outcomes," Journal of Economic Theory, Elsevier, vol. 72(1), pages 74-95, January.
    3. Gaertner, Wulf & Pattanaik, Prasanta K & Suzumura, Kotaro, 1992. "Individual Rights Revisited," Economica, London School of Economics and Political Science, vol. 59(234), pages 161-177, May.
    4. Kelly, Jerry S. & Qi, Shaofang, 2016. "Characterizing plurality rule on a fixed population," Economics Letters, Elsevier, vol. 146(C), pages 39-41.
    5. Ching, Stephen, 1996. "A Simple Characterization of Plurality Rule," Journal of Economic Theory, Elsevier, vol. 71(1), pages 298-302, October.
    6. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    7. Suzumura, Kotaro, 1981. "On pareto-efficiency and the no-envy concept of equity," Journal of Economic Theory, Elsevier, vol. 25(3), pages 367-379, December.
    8. Yohei Sekiguchi, 2012. "A Characterization of the Plurality Rule," CIRJE F-Series CIRJE-F-833, CIRJE, Faculty of Economics, University of Tokyo.
    9. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    10. Suzumura, Kotaro, 1996. "Welfare, Rights, and Social Choice," Economic Review, Hitotsubashi University, vol. 47(1), pages 64-79, January.
    11. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
    12. Kotaro Suzumura, 1979. "On the Consistency of Libertarian Claims: A Correction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(4), pages 743-743.
    13. Chun-Hsien Yeh, 2008. "An efficiency characterization of plurality rule in collective choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 575-583, March.
    14. Sekiguchi, Yohei, 2012. "A characterization of the plurality rule," Economics Letters, Elsevier, vol. 116(3), pages 330-332.
    15. 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.
    16. Sugden, Robert, 1985. "Liberty, Preference, and Choice," Economics and Philosophy, Cambridge University Press, vol. 1(2), pages 213-229, October.
    17. Kotaro Suzumura, 1978. "On the Consistency of Libertarian Claims," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(2), pages 329-342.
    18. Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), 2008. "Rational Choice and Social Welfare," Studies in Choice and Welfare, Springer, number 978-3-540-79832-3, December.
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    Citations

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    Cited by:

    1. Salvador Barberà & Walter Bossert, 2023. "Intermediate Condorcet Winners and Losers," Working Papers 1380, Barcelona School of Economics.
    2. Barberà, Salvador & Bossert, Walter & Moreno-Ternero, Juan D., 2023. "Wine rankings and the Borda method," Journal of Wine Economics, Cambridge University Press, vol. 18(2), pages 122-138, May.
    3. Elise S. Brezis, 2023. "Regulating the Revolving Door of Regulators," Working Papers 2023-03, Bar-Ilan University, Department of Economics.
    4. Amartya Sen, 2020. "Majority decision and Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 211-217, March.
    5. Barberà, Salvador & Bossert, Walter, 2023. "Opinion aggregation: Borda and Condorcet revisited," Journal of Economic Theory, Elsevier, vol. 210(C).
    6. Shmuel I. Nitzan & Asaf D.M. Nitzan, 2023. "Balancing Democracy: Majoritarianism vs. Expression of Preference Intensity," Working Papers 2023-02, Bar-Ilan University, Department of Economics.

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    More about this item

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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