Dear Norman,
you wrote (27 May 2000):
> I think that IBCM needs further study before it can
> be considered the equal of our best methods. Some
> questions that need to be answered are:
>
> 1) does IBCM satisfy clone criteria?
> 2) is IBCM monotonic? (Markus suggested that it might
> not be)
At least in those situations where the IBCM winner is unique,
the IBCM method cannot be manipulated by running clones. You
simply have to ask: "What happens if a single candidate A is
substituted with a set of clones A[1],...,A[m]?" If candidate
B eliminates candidate A in the original situation then he
simultaneously eliminates all candidates A[1],...,A[m] in the
new situation. If candidate C is eliminated by candidate A in
the original situation, then he is also eliminated by every
candidate A[j] in the new situation. Therefore the new
situation is identical to the original situation except for
the fact that where candidate A is eliminated in the original
situation, all the candidates A[1],...,A[m] are eliminated
simultaneously in the new situation. Therefore at least in
those situations where the IBCM winner is unique, the result
cannot be manipulated by running clones.
Markus Schulze
[EMAIL PROTECTED]
[EMAIL PROTECTED]
[EMAIL PROTECTED]
