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XII.—An Analysis of Preferential Voting
Published online by Cambridge University Press: 15 September 2014
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1. Many systems of preferential voting have been proposed, differing both in the way in which the preferences are expressed and the method of dealing with them in order to arrive at a result. A useful account and examination of the principal methods was given by E. J. Nanson. This paper also contains a description of the method commonly known under his name. We shall consider only those systems in which the electors express their preferences with regard to all the candidates, and in which all these preferences are taken into account.
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- Copyright © Royal Society of Edinburgh 1929
References
page 140 note * Nanson, E. J., “Methods of election,” Trans. R. Soc. Victoria, vol. xix (1882), pp. 197–240Google Scholar.
page 140 note † This excludes, for example, Ware's method, and the method of Proportional Representation, in which only certain preferences are taken into account.
page 140 note ‡ Hogben, G., “ Preferential voting in single-member constituencies, with special reference to the counting of votes,” Trans. N.Z. Inst., vol. xlvi (1913), pp. 304–308Google Scholar.
page 140 note § Nanson, , loc. cit., p. 224 ; also Sommerville, “ A problem in voting,” Proc. Edinburgh Math. Soc., vol. xxviii (1910), pp. 23–24Google Scholar.
page 141 note * Baldwin, J. M., “The technique of the Nanson preferential majority system of election,” Proc. R. Soc. Victoria (N.S.), vol. xxxix (1926), pp. 42–52Google Scholar.
page 144 note * See Nanson, loc. cit., p. 217.
page 144 note † Nanson, loc. cit., pp. 210 ff.
page 147 note * In figs. 2, 3, 4 dotted lines merely indicate the continuations of the circles x = 0, y = 0, z = 0, and are not boundaries of regions.
page 148 note * See a paper by the present writer, “Certain hyperspatial partitionings connected with preferential voting,” Proc. London Math. Soc.