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: Suggested Citation