Apportionment Behind the Veil of Uncertainty

13 Pages Posted: 9 Aug 2016

Date Written: September 2016


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.

Suggested Citation

Wada, Junichiro, Apportionment Behind the Veil of Uncertainty (September 2016). The Japanese Economic Review, Vol. 67, Issue 3, pp. 348-360, 2016, 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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