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CATEGORIES:Combinatorics Seminar
SUMMARY:Voronoi Games in the Hypercube - Robert Johnson (Q
MUL)
DTSTART;TZID=Europe/London:20180208T143000
DTEND;TZID=Europe/London:20180208T153000
UID:TALK96856AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/96856
DESCRIPTION:The subject of spatial voting considers how candid
ates compete for vote share in a society whose opi
nions can be expressed in some geometric opinion s
pace. The most classical result here is the Median
Voter Theorem which describes the case when opini
ons lie in a 1-dimensional interval. In higher dim
ensions the situation is much more complicated and
there is no analogue of the Median Voter\nTheorem
.\n\nWe investigate what can be said when the opin
ion space is the discrete hypercube (corresponding
to d binary issues). This discrete model has been
much less studied than the continuous ones and le
ads to some appealing problems in the combinatoric
s of the hypercube. We exhibit some intriguing beh
aviour\, results and open questions.\n\nJoint Work
with Nicholas Day\n
LOCATION:MR12
CONTACT:Andrew Thomason
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