# Apportionment Behind the Veil of Uncertainty

@article{Wada2016ApportionmentBT, title={Apportionment Behind the Veil of Uncertainty}, author={Junichiro Wada}, journal={Econometrics: Mathematical Methods \& Programming eJournal}, year={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… Expand

#### 2 Citations

Studying malapportionment using α-divergence

- Mathematics, Computer Science
- Math. Soc. Sci.
- 2018

Abstract This study shows the superiority of α -divergence over Samuels and Snyder’s MAL index for 73 countries, using Samuels and Snyder’s database. As α -divergence rests on a philosophical basis,… Expand

Malapportionment and democracy: A curvilinear relationship

- Economics
- 2017

Abstract This article examines electoral malapportionment by illuminating the relationship between malapportionment level and democracy. Although a seminal study rejects this relationship, we argue… Expand

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