x A1>A2>A3>B>C x B>C>A2>A3>A1 x C>A3>A1>A2>B
How should this tie be resolved?
Every candidate is in the Dutta set.
Random Ballot Dutta gives the win to A1, B, or C with probability one third each.
Spruced up Random Ballot gives B and C probability 1/3 each, and each of the A's 1/9.
Which is better?
Anyway this shows that Random Ballot Dutta is not quite the same as Spruced Up Random Ballot, contrary to my earlier belief: the probabilities within clone sets are affected by the spruce up process.
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