Journal Articles

Evaluating the Unfairness of Representation With the Nash Social Welfare Function

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Using the Nash product (Nash Social Welfare Function) as a micro foundation, we create a decomposable index to evaluate the unfairness of representation in electoral districts. Using this index, we decompose the factors of such unfairness into apportionment and districting. We explore the situations of New Zealand, the United States, Australia, the United Kingdom, Japan, and Canada. We then provide an integer solution that minimizes the index of the apportionment, which can be obtained by the divisor method (Balinski and Young, 1982) using a logarithmic mean.

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Detail Information

Series Title

Journal of Theoretical Politics

Call Number

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Publisher

: sage publisher., 2010

Collation

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Language

English

ISBN/ISSN

09516298

Classification

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Content Type

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Media Type

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Carrier Type

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Edition

Vol. 22 no. 4, October 2010.pp. 445-467

Subject(s)

Fair representation
Decomposable index
Divisor method
Evaluating the Unfairness of Representation

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Statement of Responsibility

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