Dear Jobst,How about D52MAC, instead of D2MAC, for the challenge problem?51 
A>C(52%)49 B>C(52%)  1. Draw 52 ballots at random.2. If at least one candidate 
is approved on all 52 of these ballots, then elect the candidate that is marked 
"approved" on the greatest number of ballots (including the ballots not 
drawn).3.  I f no candidate is approved on all 52 of the drawn ballots, then 
elect the favorite of the first drawn ballot.Obviously, in the current scenario 
only C has any chance of getting elected in step 2.So it is either go all out 
to get C elected or be happy with the benchmark lottery.I suspect that the 
number 52 in D52MAC could be reduced to about 7, and still leave plenty of 
incentive to approve C in both factions.My Best,Forest
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