Unanimity and the Anscombe’s Paradox
We establish a new suffcient condition for avoiding a generalization of the Anscombe’s paradox. In a situation where ballots describe positions regarding ﬁnitely many yes-or-no issues, the Anscombe’s alpha−paradox holds if more than alpha % of the voters disagree with on a majority of issues with the outcome of issue-wise majority voting. We deﬁne the level of unanimity of a set of ballots as the number of issues minus the maximal symmetric diatance between two ballots. We compute for the caseof large electorates, the exact level of unanimity above which the Anscombe’s alpha−paradox never holds, whatever the distribution of votes among ballots.
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- Conal Duddy & Ashley Piggins, 2012. "A measure of distance between judgment sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 855-867, October.
- Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046, August.
- Wade D. Cook & Lawrence M. Seiford, 1982. "On the Borda-Kendall Consensus Method for Priority Ranking Problems," Management Science, INFORMS, vol. 28(6), pages 621-637, June.
- Steven Brams & D. Kilgour & M. Sanver, 2007. "A minimax procedure for electing committees," Public Choice, Springer, vol. 132(3), pages 401-420, September.
- Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163, August.
- Laffond, G. & Laine, J., 2006.
"Single-switch preferences and the Ostrogorski paradox,"
Mathematical Social Sciences,
Elsevier, vol. 52(1), pages 49-66, July.
- G. Laffond & Jean Lainé, 2006. "Single-switch preferences and the Ostrogorski paradox," Post-Print halshs-00107961, HAL.