Voronoi Games in the Hypercube

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• Robert Johnson (QMUL)
• Thursday 08 February 2018, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

The subject of spatial voting considers how candidates compete for vote share in a society whose opinions can be expressed in some geometric opinion space. The most classical result here is the Median Voter Theorem which describes the case when opinions lie in a 1-dimensional interval. In higher dimensions the situation is much more complicated and there is no analogue of the Median Voter Theorem.

We investigate what can be said when the opinion space is the discrete hypercube (corresponding to d binary issues). This discrete model has been much less studied than the continuous ones and leads to some appealing problems in the combinatorics of the hypercube. We exhibit some intriguing behaviour, results and open questions.

Joint Work with Nicholas Day

This talk is part of the Combinatorics Seminar series.

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