[EM] Consensus Incentive Lotteries

[Forest Simmons]

Here is a one parameter family of lotteries that encourage consensus: the
bigger the parameter N, the greater the encouragement, while in every case
allowing single minded minorities to have proportional probability for
representation:

1. The voters submit approval style ballots.

2. The approval totals are tallied.

3. After thorough mixing of ballots a set of N ballots are drawn at random.

4. If all N of the ballots approve one or more candidates in common, then
from among those the one with the greatest approval tally (from step one)
is elected.

5. Else the candidate approved on the first drawn ballot with the greatest
approval tally is elected.

I need suggestions for a democratic way of deciding on an appropriate value
of N.  In other words, how to discern the potential max consensus level.
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