Apportionment Behind the Veil of Uncertainty

  title={Apportionment Behind the Veil of Uncertainty},
  author={Junichiro Wada},
  journal={Econometrics: Mathematical Methods \& Programming eJournal},
  • Junichiro Wada
  • Published 2016
  • Economics
  • Econometrics: Mathematical Methods & Programming eJournal
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
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A divisor apportionment method based on the Kolm-Atkinson social welfare function and generalized entropy
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Evidence is given to show that Quota tends to underrepresent small states, and Huntington's generally accepted Equal Proportion scheme and a new "house-monotone" Quota scheme are given. Expand
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$\alpha$ -Divergence Is Unique, Belonging to Both $f$-Divergence and Bregman Divergence Classes
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It is proved that the alpha-divergences constitute a unique class belonging to both classes when the space of positive measures or positive arrays is considered, and this is the only such one in thespace of probability distributions. Expand
α-divergence is unique, belonging to both f-divergence and Bregman divergence classes
A divergence measure between two probability distributions or positive arrays (positive measures) is a useful tool for solving optimization problems in optimization, signal processing, machine lear...
The apportionment of representatives in Congress
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