[EM] A Proportionally Fair Consensus Lottery for which Sincere Range Ballots are Optimal

[fsimmons at pcc.edu]

Thanks for the encouragement, Jobst, and for supplying the proof.

It was your strategy free Condorcet method that led me in this direction:

I simply adapted it to your Proportionally Fair Consensus Lottery ideas using
range ballots instead of  taking a second head count after the choice was put to
the voters.

Most of the credit should be yours; in fact, the proof and all of the
ingredients are yours.  I hurried to post the message this morning, because I
was sure that you were going to beat me to it!  I would certainly believe you if
you said that you had already thought of the same thing but didn't have time to
post the message before I did.