Apportionment Behind the Veil of Ignorance

22 Pages Posted: 12 Oct 2015

Date Written: September 9, 2015


To bring apportionment closer to quotas or the apportionment quotient closer to the population quotient, instead of using “distance,” we introduce f-divergence for utilitarianism and Bregman divergence for suitable optimization. Even in our relaxed condition, we find that we must use alpha-divergence for optimization and show that the minimization of alpha-divergence induces the same divisor methods that correspond to the Kolm-Atkinson social welfare function, which is bounded by constant relative risk aversion.

Keywords: Apportionment, alpha-divergence, Kullback-Leibler divergence, Divisor method, Stolarsky mean

JEL Classification: D63, D72

Suggested Citation

Wada, Junichiro, Apportionment Behind the Veil of Ignorance (September 9, 2015). Available at SSRN: or

Junichiro Wada (Contact Author)

Yokohama City University ( email )

22-2 Seto
Yokohama, Kanagawa 236-0027
+81-45-787-2311 (Phone)

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