ON A PARAMETRIC DIVISOR METHOD FOR THE APPORTIONMENT PROBLEM

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概要

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• Apportionment, problem has been focused upon for more than 200 years by many applied mathematicians and operations researchers. Balinski and Young have done quite extensive works for this problem. In this paper we propose a parametric divisor method for solving an apportionment problem. Our method is shown to "cover" most traditional apportionment methods. First we introduce the idea of stable regions for the allocation of seats to each political constituency, then show the explicit relation between apportionment methods and corresponding stable regions. Then we look at these apportionment methods from the viewpoints of constrained optimization problem, and we show the corresponding optimization problem for our parametric divisor method. Finally using Japan's House of Representative. data, we show the numerical results for the application of various apportionment methods. We conclude our paper by suggesting appropriate parameter values for our parametric apportionment method.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Oyama Tatsuo

  Graduate School Of Policy Science Saitama University

関連論文

• ON A PARAMETRIC DIVISOR METHOD FOR THE APPORTIONMENT PROBLEM
• ON THE UNBIASEDNESS OF THE PARAMETRIC DIVISOR METHOD FOR THE APPORTIONMENT PROBLEM

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