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Majority rule on j-rich ballot spaces

Author

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  • 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. 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.
    2. 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.
    3. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2009. "Size approval voting," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1187-1210, May.
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