Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Developing a New Measure of Biases of Apportionment Methods and Determining Its Validity by Computer Simulation
Tetsuo Ichimori
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2015 Volume 25 Issue 3 Pages 151-164

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Abstract
This paper discusses the measure of biases of apportionment methods. Generally biases mean that large states are more favored than small states or the opposite. However it is not easy to define the large states or small states rigorously. In this paper a new bias measure is developed which does not require the rigorous definition of large or small states. We show by computer simulation that the new bias measure can measure bias in apportionment methods as correctly as the existing measures.
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© 2015 The Japan Society for Industrial and Applied Mathematics
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