Happy new year to all! Perhaps my previous definition was not enough clear, for the possible confusion between "potential winner" and "winner" on its final. Then, I reformulated it:
"Some candidate X is eliminated if a) exists Y that beats X and b) the margin of Y against X is greater than the greatest margin of another candidate against Y. The winner is the Condorcet winner among non-eliminated candidates". An example (from http://www.mcdougall.org.uk/VM/ISSUE6/P4.HTM): 5:a>d>c>b 5:b>c>a>d 8:c>a>b>d 4:d>a>b>c 8:d>b>c>a Notation: Candidate X(minimax score of X): Candidate Y(margin of Y against X, minmax score of Y): a(12): c(12,4) eliminated b(4): a(4,12), d(4,6) c(4): b(4,4), d(4,6) d(6): a(6,12) d beats either b and c, then d is elected. Another example (from Markus' paper): 3:a>d>e>b>c>f 3:b>f>e>c>d>a 4:c>a>b>f>d>e 1:d>b>c>e>f>a 4:d>e>f>a>b>c 2:e>c>b>d>f>a 2:f>a>c>d>b>e a(5): c(1,5), d(1,3), e(1,9), f(5,7) b(7): a(7,5), d(1,3) eliminated c(5): b(3,7), e(5,9) d(3): c(3,5) e(9): b(1,7), d(9,3) eliminated f(7): b(7,7), c(1,5), d(1,3), e(1,9) c beats a, d and f, then c is elected. ________________________________ Diego Santos
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