Apportionment Behind the Veil of Uncertainty

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• 作者：Junichiro Wada
• 刊名：Japanese Economic Review
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：67
• 期：3
• 页码：348-360
• 全文大小：244K
• ISSN：1468-5876

文摘

Apportionment of representatives is a basic rule of everyday politics. By definition, this basic rule is a constitutional stage problem and should be decided behind the veil of uncertainty. 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 and show that the minimization of α-divergence induces the same divisor methods that correspond to the maximization of the Kolm–Atkinson social welfare function (or the expected utility function), which is bounded by constant relative risk aversion.