Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
On Japanese Measure of Inequity in an Apportionment(Application)
Tetsuo Ichimori
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2009 Volume 19 Issue 2 Pages 159-168

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Abstract
The House of Representatives has 480 members and 300 members out of them are apportioned among 47 prefectures. Each apportionment is evaluated generally with respect to the criterion: the ratio of the maximum district size to the minimum district size. This paper shows that this criterion does not give an apportionment proportional to the population of prefectures. The actual apportionment is determined by the method of apportioning 253 members among 47 prefectures under the method of greatest remainders and adding one member to each prefecture. In addition, it is shown that this method is not proportional either.
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© 2009 The Japan Society for Industrial and Applied Mathematics
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