Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
On the Bias of the Webster Method of Apportionment
Tetsuo Ichimori
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2015 Volume 25 Issue 1 Pages 1-19

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Abstract
The method of Webster has been at the center of discussion about the problem of apportionment. Bias is often used as an evaluation criterion for fair apportioment. Hence it is significant to evaluate the bias of the Webster method. First we define the bias of apportionment methods based on information theory. Then, fixing the number of states, the bias of the Webster method is expressed as a function of the house size.
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© 2015 The Japan Society for Industrial and Applied Mathematics
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