Abstract
Kenneth May in 1952 proved a classical theorem characterizing simple majority rule for two alternatives. The present paper generalizes May’s theorem to the case of three alternatives, but where the voters’ preference relations are required to be trees with alternatives at the leaves.
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References
Asan, G., & Sanver, M. R. (2002). Another characterization of the majority rule. Economic Letters, 75, 409–413.
Campbell, D. E. (1988). A characterization of simple majority rule for restricted domains. Economic Letters, 28, 307–310.
Campbell, D. E., & Kelly, J. S. (2000). A simple characterization of majority rule. Economic Theory, 15, 689–700.
Cantillon, E., & Rangel, A. (2002). A graphical analysis of some basic results in social choice. Social Choice and Welfare, 19, 587–611.
Day, W. H. E., & McMorris, F. R. (2003). In SIAM frontiers of applied mathematics : Vol. 29. Axiomatic consensus theory in group choice and biomathematics. Philadelphia, PA: SIAM.
Margush, T., & McMorris, F. R. (1981). Consensus n-trees. Bulletin of Mathematical Biology, 42(2), 239–244.
Maskin, E. (1995). Majority rule, social welfare functions, and game forms. In K. Basu, P. K. Pattanaik, & K. Suzumura (Eds.), Choice, welfare and development, festschrift for Amartya Sen. Oxford: Clarendon Press.
May, K. O. (1952). A set of independent necessary and sufficient conditions for simple majority decision. Econometrica, 20, 680–684.
Mirkin, B. (2005). Clustering for data mining: a data recovery approach. London: Chapman & Hall.
Woeginger, G. (2003). A new characterization of the majority rule. Economic Letters, 81, 89–94.
Yi, J. (2005). A complete characterization of majority rules. Economics Letters, 87, 109–112.
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This paper with title “May’s Theorem for Trees” was presented at the joint DIMACS-LAMSADE workshop on Computer Science and Decision Theory, Université Paris-Dauphine, Paris 27–29 October 2004. It appeared in the proceedings Annales du LAMSADE 3 (2004), 259–266.
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McMorris, F.R., Powers, R.C. The majority decision function for trees with 3 leaves. Ann Oper Res 163, 169–175 (2008). https://doi.org/10.1007/s10479-008-0330-5
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DOI: https://doi.org/10.1007/s10479-008-0330-5