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Condorcet versus participation criterion in social welfare rules

Author

Listed:
  • Can, Burak

    (Microeconomics & Public Economics, RS: GSBE ETBC)

  • Ergin, Emre

    (General Economics 0 (Onderwijs), RS: GSBE ETBC)

  • Pourpouneh, Mohsen

Abstract

Moulin (1988) shows that there exists no social choice rule, that satisfies the following two criteria at the same time: the Condorcet criterion and the participation criterion, a.k.a., No Show Paradox. We extend these criteria to social welfare rules, i.e., rules that choose rankings for each preference profile. We show that the impossibility does not hold, and one particular rule, the Kemeny rule satisfies both the Condorcet and the participation criteria.

Suggested Citation

  • Can, Burak & Ergin, Emre & Pourpouneh, Mohsen, 2017. "Condorcet versus participation criterion in social welfare rules," Research Memorandum 020, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2017020
    DOI: 10.26481/umagsb.2017020
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    References listed on IDEAS

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    1. Núñez, Matías & Sanver, M. Remzi, 2017. "Revisiting the connection between the no-show paradox and monotonicity," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 9-17.
    2. José Jimeno & Joaquín Pérez & Estefanía García, 2009. "An extension of the Moulin No Show Paradox for voting correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 343-359, September.
    3. Paul B. Simpson, 1969. "On Defining Areas of Voter Choice: Professor Tullock on Stable Voting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 83(3), pages 478-490.
    4. Hannu Nurmi, 2014. "Are we done with preference rankings? If we are, then what?," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 63-74.
    5. Dan S. Felsenthal & Hannu Nurmi, 2016. "Two types of participation failure under nine voting methods in variable electorates," Public Choice, Springer, vol. 168(1), pages 115-135, July.
    6. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December.
    7. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

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

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