Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
Apportionment Methods Maximizing Renyi's Entropy
Tetsuo Ichimori
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2014 Volume 24 Issue 3 Pages 115-118

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Abstract
In this paper, we give an overview of the paper. Specifically, by introducing a random variable with possible values of one vote, we define the Renyi entropy of the random variable. Then we show that the maximization of the Renyi entropy is to minimize the Renyi divergence (directed distance) from the distribution of seats to the distribution of population and vice versa. Moreover, we propose a new measure of the bias of the relaxed divisor method of apportionment.
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© 2014 The Japan Society for Industrial and Applied Mathematics
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