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Majority rule on j-rich ballot spaces

Author

Listed:
  • Trevor Leach

    (University of Louisville)

  • Robert C. Powers

    (University of Louisville)

Abstract

Fishburn (Aggregation and revelation of preferences. North Holland, Amsterdam, pp 201–218, 1979) proved that majority rule on any proper permutation closed $$j\hbox {-rich}$$j-rich ballot space is the only social choice function satisfying faithfulness, consistency, cancellation, and neutrality. Alós-Ferrer (Soc Choice Welf 27:621–625, 2006) showed that neutrality was not needed for Fishburn’s result as long as the ballot space has no restriction on ballot sizes. In this paper, we show that the Alós-Ferrer result can be extended to a much larger class of ballot spaces.

Suggested Citation

  • Trevor Leach & Robert C. Powers, 2020. "Majority rule on j-rich ballot spaces," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 639-655, April.
    • Handle: RePEc:spr:sochwe:v:54:y:2020:i:4:d:10.1007_s00355-019-01223-4
    DOI: 10.1007/s00355-019-01223-4
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    References listed on IDEAS

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    1. Sertel, Murat R., 1988. "Characterizing approval voting," Journal of Economic Theory, Elsevier, vol. 45(1), pages 207-211, June.
    2. Carlos Alós-Ferrer, 2006. "A Simple Characterization of Approval Voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 621-625, December.
    3. Norihisa Sato, 2014. "A characterization result for approval voting with a variable set of alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 809-825, December.
    4. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2009. "Size approval voting," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1187-1210, May.
    5. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2014. "Non-anonymous ballot aggregation: An axiomatic generalization of Approval Voting," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 69-78.
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    10. Marc Vorsatz, 2007. "Approval Voting on Dichotomous Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 127-141, January.
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