# Optimal Apportionment

@article{Koriyama2013OptimalA,
title={Optimal Apportionment},
author={Yukio Koriyama and Antonin Mac{\'e} and Rafael Treibich and Jean-François Laslier},
journal={Journal of Political Economy},
year={2013},
volume={121},
pages={584 - 608}
}
• Published 1 June 2013
• Economics
• Journal of Political Economy
This paper provides a theoretical foundation that supports the degressive proportionality principle in apportionment problems, such as the allocation of seats in a federal parliament. The utility assigned by an individual to a constitutional rule is a function of the frequency with which each collective decision matches the individual’s own will. The core of the argument is that, if the function is concave, then classical utilitarianism at the social level recommends decision rules that exhibit…
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