[Election-Methods] [EM] Die Toss Version of FAWRB

[fsimmons at pcc.edu]

> ** Definition of method FMAC-RB
> ** (Favourite or Most Approved Compromise Random Ballot)
> ** --------------------------------------------------------------
> --
> ** Phase I: Perform a standard approval election to find the
> ** "compromise ranking" for Phase II. The question on the ballot reads
> ** "Which options do you consider good compromise options?".
> ** ---------
> ** Phase II:
> ** 1. On a new ballot, everyone
> ** (i) specifies her favourite option and
> ** (ii) marks any number of additional options as "also approved"
> ** 2. A die is tossed. If it shows six then 15 of these ballots are
> ** drawn at random, otherwise only 3 are drawn.
> ** 3. On each drawn ballot, find amoung those options approved
> ** (=favourite or "also approved") on the ballot the one which
> ** had the highest approval score in phase I.
> ** If this "most approved compromise" option is the same for all
> ** drawn ballots, that option is elected.
> ** Otherwise the favourite on the first drawn ballot is elected.
> **

How about modifying Phase II slightly as follows?

3'.  If there is one or more common "also approved" options on all of the drawn ballots, then elect the one with the most approval, else elect the favorite on the first drawn ballot. 
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