[EM] SFC, CC, & MMC

[MIKE OSSIPOFF]

SFC, CC (Condorcet Criterion) and MMC (Mutual Majority Critrerion) are more 
closely-related than one might have expected. Describing them all in the 
same terms shows that relation, their similarites and their difference. And 
it shows why SFC is the best of those 3 criteria.

What SFC & MMC guarantee to a sincere-voting majority:

SFC:

No one worse than the CW will win, if no one falsifies a preference.

MMC:

The winner will be someone they all prefer to the other candidates.

What CC guarantees to sincere voters:

No majority needed. The guarantee is made to all the voters. No one worse 
than the CW will win, if everyone else, including yourr opponents, votes 
sincerely too.

You might like CC because it makes its guarantee to all the voters, instead 
of just to a majorilty. But the price of that is that it only makes that 
guarantee if all the other voters vote sincerely too. That is less realistic 
than FBC.

It's reasonable to make a guarantee to a majorilty only, and that makes 
possible a stronger guarantee, one that doesn't applyi only if your 
opponents vote sincerely.

It's been suggested that SFC should have a different name. I wouldn't want 
to rename it now, becuse it's already known by the name SFC. But what would 
be another good name?:

Condorcet's Criterion for Plausible Opponents (CCPO)

Condorcet's Criterion More Applicable (CCMA)

Strong Condorcet's Criteroin (SCC)

I like the last one because of its brevity. Shall we rename SFC? Which name 
do you prefer?

Mike Ossipoff

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