Russ quotes Arrow's Condorcet Criterion:
Folks,
[...]
"that a candidate who receives a majority as against each other candidate should be elected."
Did you get that, Mike? He *assumes* a ranked ballot, just as I suggested, and which you tried to ridicule me for.
I reply:
Actually no, I don't get that. There's nothing in that definition that tells us that Arrow assumed a ranked ballot.
And when you say he "*assumes* a ranked ballot" you're completely unclear about whether you mean that Arrow wants his criterion to apply only to rank methods, or whether he wants it to apply to nonrank methods and for them to fail it. You're quoting Arrow's definition, commenting on what you think that it means but doesn't say, and aren't even clear about what you want to tell us you think it means.
As I said before, most likely most people expect Approval and Plurality to fail CC, but you certainly haven't shown that with that quote--if that's what you were trying to show.
Russ continues:
And where is the gobbldy-gook about sincere preferences, Mike?
I reply:
Did I say that Arrow proposed preference criteria? I have no idea if any of his criteria mention preference, and I've made no statements about that.
But maybe what Russ means is that preferences shouldn't be mentioned unless Kenneth Arrow says it's ok :-)
I'm just guessing, but maybe, to Russ, gobbldy-gook means anything that Russ thinks shouldn't be said. It would be better if Russ could use terms whose meaning is better known than that. But saying "Nonrank methods fail this criterion because I say so"--that isn't gobbldy-gook?
Russ continued:
Or the notion that the CC should apply to all methods, ordinal or not?
I reply:
Russ apparently thinks that universal applicability isn't desirable unless Kenneth Arrow says so :-)
Russ continued:
I realize that you are a legend in your own mind, Mike, and you probably consider Kenneth Arrow a simpleton
I didn't say that Kenneth Arrow is a simpleton. I merely said that most voting system academics do a very poor job of saying what they mean. Thanks, Russ, for confirming that statement with your quote of Kenneth Arrow's definition.
Mike Ossipoff
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