Only 5 candidates needed for SD nonmonotonicity

[Markus Schulze]

Dear Mike,

you wrote (3 Aug 2000):
> Isn't it true that Narkus's SD nonmonotonicity example would
> work with just 5 candidates? I've been mistaken before, but
> it seems to me that the EFG cycle isn't needed. Keep the same
> defeats, but leave out candidates F & G, and add the defeat
> EA14. A still wins in Act I, and, in Act II, when DE13 is
> dropped, CD15 is still the weakest defeat that's in a cycle.

But in Act II of your example candidate E (and not candidate D)
would be elected. Therefore that example doesn't demonstrate a
violation of monotonicity.

Markus Schulze
schulze at sol.physik.tu-berlin.de
schulze at math.tu-berlin.de
markusschulze at planet-interkom.de