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arXiv · 1402.0861

Voting for Committees in Agreeable Societies

Matt Davis·Michael E. Orrison·Francis Edward Su
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Abstract

We examine the following voting situation. A committee of $k$ people is to be formed from a pool of n candidates. The voters selecting the committee will submit a list of $j$ candidates that they would prefer to be on the committee. We assume that $j \leq k < n$. For a chosen committee, a given voter is said to be satisfied by that committee if her submitted list of $j$ candidates is a subset of that committee. We examine how popular is the most popular committee. In particular, we show there is always a committee that satisfies a certain fraction of the voters and examine what characteristics of the voter data will increase that fraction.

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Matt Davis, Michael E. Orrison, Francis Edward Su. 2014-02-04. Voting for Committees in Agreeable Societies. https://arxiv.org/abs/1402.0861

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