Small One-Dimensional Euclidean Preference Profiles

arXiv: Computer Science and Game Theory, Volume abs/1810.06461, 2018.

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Abstract:

We characterize one-dimensional Euclidean preference profiles with a small number of alternatives and voters. In particular, we show the following. 1. Every preference profile with up to two voters is one-dimensional Euclidean if and only if it is single-peaked. 2. Every preference profile with up to five alternatives is one-dimensional E...More

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