公正な代表制の問題 : 議席配分と選挙区割り

概要

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In this paper we discuss one-man, one-vote which is essential in representative democracy. The problem consists of apportionment and districting. First the apportionment problem is treated, where we give some reasons why the method proposed by Alexander Hamilton admits the Alabama paradox and why the method proposed by Daniel Webster resembles Hamilton's method while Webster's method does not admit the Alabama paradox. And we briefly discuss the relation between the apportionment problem and the resource allocation problem. Finally the districting problem is addressed and we conclude that this problem is closely related to the apportionment problem. In other words, unless population variances per congressman among congressional districts are very small, one-man, onevote cannot be possibly realized by any apportionment method.
日本応用数理学会の論文
1993-06-15