[EM] How to break this tie?

[Forest Simmons]

Suppose the electorate is divided into the following three factions of 
equal size:

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.

Forest