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Characterizations of approval ranking

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  • Komatsu, Hiroyuki

Abstract

In this paper, we consider those voting situations in which each voter decides whether he or she approves each candidate. Given a list of such approvals, a “social preference function” picks a ranking of the candidates. We are interested in finding out which social preference functions are non-manipulable. We show that a particular social preference function, referred to as approval ranking, is more decisive than any other social preference functions satisfying completeness, neutrality, anonymity, and non-manipulability. In addition, we show that approval ranking is axiomatized by these four axioms and tie-breakability.

Suggested Citation

  • Komatsu, Hiroyuki, 2024. "Characterizations of approval ranking," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 18-24.
    • Handle: RePEc:eee:matsoc:v:128:y:2024:i:c:p:18-24
    DOI: 10.1016/j.mathsocsci.2024.01.001
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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.
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    3. 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.
    4. Yongsheng Xu, 2010. "Axiomatizations of Approval Voting," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 91-102, Springer.
    5. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
    6. 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.
    7. Ju, Biung-Ghi, 2011. "Collectively rational voting rules for simple preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 143-149, March.
    8. Biung-Ghi Ju, 2010. "Collective Choice for Simple Preferences," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 41-90, Springer.
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