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SUMMARY:Voronoi Games in the Hypercube - Robert Johnson (QMUL)
DTSTART:20180208T143000Z
DTEND:20180208T153000Z
UID:TALK96856@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:The subject of spatial voting considers how candidates compete
  for vote share in a society whose opinions can be expressed in some geome
 tric opinion space. The most classical result here is the Median Voter The
 orem which describes the case when opinions lie in a 1-dimensional interva
 l. In higher dimensions the situation is much more complicated and there i
 s no analogue of the Median Voter\nTheorem.\n\nWe 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 co
 ntinuous ones and leads to some appealing problems in the combinatorics of
  the hypercube. We exhibit some intriguing behaviour\, results and open qu
 estions.\n\nJoint Work with Nicholas Day\n
LOCATION:MR12
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