ON THE MEASUREMENT OF THE BIAS OF APPORTIONMENT METHODS USING DIVERGENCES

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  • ダイバージェンスによる議員定数配分方式の偏りについて
  • ダイバージェンス ニ ヨル ギイン テイスウ ハイブン ホウシキ ノ カタヨリ ニ ツイテ

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Abstract

In this paper we propose a new measurement for estimating the bias of apportionment methods (relaxed divisor methods). Usual bias measurements depend on the definitions of large states and small states. But there are no rigorous definitions of large states or small states. Therefore usual bias measurements are rather obscure. We develop a new bias measurement or a new bias index, using divergences which appear frequently in information theory. We investigate the bias of several apportionment methods with this new bias index and compare our results to those obtained in the past in order to give the validity of our new measurement of apportionment methods.

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