Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Apportionment Methods Taking Account of Dispersion(Application,Mathematical Politics)
Tetsuo Ichimori
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2006 Volume 16 Issue 3 Pages 265-276

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Abstract
This paper discusses two apportionment methods taking account of dispersion. The first one minimizes the variance of per capita shares of a representative of 47 prefectures. And the second one minimizes the coeffcient of variation of those shares of a representative of 47 prefectures. We observe that these methods give reasonable allocations of 300 seats to 47 prefectures and also reasonable allocations of 180 to 11 blocks in Japan.
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© 2006 The Japan Society for Industrial and Applied Mathematics
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