[EM] Definition typo
nkklrp at hotmail.com
Fri Dec 28 16:56:23 PST 2001
The error in my definition of voting a candidate higher is obvious. It's
other people's ballots have nothing to do with whether John votes some
higher. Equally obvious is the way that the definition should have been
A voter, John, votes Smith higher if he changes how he marks Smith in such a
it's possible to contrive a fixed* way for John to mark the other
candidates, such that
after the change, John's ballot votes Smith over a candidate over whom it
him before the change.
*By a fixed way of marking the other candidates, I mean a way that John
except where such change is an unavoidable result of changing how he marks
[end of definition]
Of course the reason why I accidentally wrote it in terms of other people's
because that's how my definition of voting Smith over Jones is written.
It seems to me that my definition of Monotonicity, with its supporting
satisfactory, but of course there's always the possibility there being some
that I haven't noticed.
If someone comes up with another bizarrely unproposable method in order to
a "problem" with that Monotonicity definition, then I'd point out that
not going to be discarded, and that it's necessary to have some definition
criterion. I don't mean to imply that I claim that my definition can't be
improved on. I merely
post it as a possible, workable way of defining Monotonicity.
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