I said this before, but it deserves emphasis:

Condorcet's criterion only applies when everyone votes sincerely. SFC applies if the majority to whom it makes its guarantee vote sincerely. In other words, it stipulates only that you and a majority that you're in vote sincerely, while Condorcet's Criterion stipulates that your opponents vote sincerely too.

It's obvious which is more useful and more believable.

The guarantees made by those criteria are very similar. It could be said that SFC's guarantee is a little better, since its guarantee that no one you like less than the CW will win means that if there's a unique winner it will be either the CW or someone you like better. But in any case, it certainly isn't less of a guarantee.

Obviously the same comparison can be made between the Smith Criterion and GSFC.

Mike Ossipoff

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