[EM] MDDB order-reversal with defensive truncation
MIKE OSSIPOFF
nkklrp at hotmail.com
Wed Oct 26 22:02:48 PDT 2005
With Condorcet(wv), and with MDDA and MDD,ER-Bucklin(whole), defensive
truncations causes offensive order-reversal to fail and backfire.
That isn't true of MDDB. But MDDB doesn't do badly in that regard either.
With MDDB, with 3 candidates, A, B, & C, if B is the middle CW, and the A
voters insincerely rank C over A, then:
For A to win requires that C be the smallest (in terms of 1st choice
support), and that A be twice as big as C.
So the defensive truncation makes it significantly less likely for the
offensive order-reversal to succeed.
For the A voters' offensive order-reversal to not backfire requires that
A>2C or B>3C. Certainly neither of those things can be safely counted on,
and so MDDB has some good order-reversal deterrence when defensive
truncation is used.
Not as good as MDDA and MDD,ER-Bucklin(whole), but still pretty good.
Mike Ossipoff
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