Integrative Study of One-man 0ne-vote

2015 Fiscal Year Final Research Report

• Project/Area Number: 25380161
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Politics
• Research Institution: Yokohama City University
• Principal Investigator: Wada Junichiro 横浜市立大学, 国際マネジメント研究科, 教授 (30244502)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 定数配分 / 一票の平等 / 個人還元主義 / アルファ・ダイバージェンス / カルバック・ライブラー・ダイバージェンス / アトキンソン型社会的厚生関数 / ナッシュ型社会的厚生関数 / アダムズ方式

Outline of Final Research Achievements

To bring apportionment closer to quotas, we introduce f-divergence for utilitarianism and Bregman divergence for consistent optimization. Even in our less restricted condition, we find that we must use α-divergence for optimization that induces the same divisor methods correspond to the maximization of the Atkinson social welfare function, which is bounded by constant relative risk aversion.
Our measurement of disproportionality is α-divergence. By using α-divergence, we can easily understand the philosophy of “dead set election” because changing the parameter of the α-divergence or social welfare function gives the optimal apportionment solution. Furthermore, α-divergence is decomposable based on the apportionment and districting stages. In this study, we investigate the philosophical differences in 73 countries and clarify the factors of malapportionment in Italy and Taiwan using the decomposability of α-divergence.

Free Research Field

政治学