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arXiv · 1409.2603

Linear-time Algorithms for Proportional Apportionment

Zhanpeng Cheng·David Eppstein
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Abstract

The apportionment problem deals with the fair distribution of a discrete set of $k$ indivisible resources (such as legislative seats) to $n$ entities (such as parties or geographic subdivisions). Highest averages methods are a frequently used class of methods for solving this problem. We present an $O(n)$-time algorithm for performing apportionment under a large class of highest averages methods. Our algorithm works for all highest averages methods used in practice.

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Zhanpeng Cheng, David Eppstein. 2014-09-09. Linear-time Algorithms for Proportional Apportionment. https://arxiv.org/abs/1409.2603

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