[EM] Condorcet-Winner/Borda-Winner

[Steve Barney]

I have calculated that exactly 4/45, or approx 8.89%, of all possible
profiles with rational voters yield a B>A>C BC outcome, while the
Majority Vote (Condorcet) outcome is A>B>C. This is based on the
"Representation Cube" which is described in Donald Saari's textbook,
_Basic Geometry of Voting_. Does anyone here know the proportion of
all possible profiles (collection of fully ranked ballots) which
yield a cyclic or intransitive Majority Vote outcome?

Thank you,
SB
Oshkosh, WI
US


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Richard M. Hare, 1919 - 2002, In Memoriam, http://www.petersingerlinks.com/hare.htm

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