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Re: [EM] Did someone say monotonicity? Or: Droop proportionality and monotonicity

MS
Markus Schulze
Tue, Feb 4, 2020 12:01 PM

Dear Kristofer,

In other words, something like "Droop,X" won't retain the
benefit of say, "Smith,X" of being automatically monotone
whenever X is.

The Borda count is monotone.

But Smith//Borda violates monotonicity.

Markus Schulze

Dear Kristofer, > In other words, something like "Droop,X" won't retain the > benefit of say, "Smith,X" of being automatically monotone > whenever X is. The Borda count is monotone. But Smith//Borda violates monotonicity. Markus Schulze
KM
Kristofer Munsterhjelm
Tue, Feb 4, 2020 12:16 PM

On 04/02/2020 13.01, Markus Schulze wrote:

Dear Kristofer,

In other words, something like "Droop,X" won't retain the
benefit of say, "Smith,X" of being automatically monotone
whenever X is.

The Borda count is monotone.

But Smith//Borda violates monotonicity.

Does Smith,Borda violate monotonicity? (I.e. do Borda on the full set of
candidates, then elect the Smith set member that is ranked highest
according to the Borda outcome.)

On 04/02/2020 13.01, Markus Schulze wrote: > Dear Kristofer, > > >> In other words, something like "Droop,X" won't retain the >> benefit of say, "Smith,X" of being automatically monotone >> whenever X is. > > The Borda count is monotone. > > But Smith//Borda violates monotonicity. Does Smith,Borda violate monotonicity? (I.e. do Borda on the full set of candidates, then elect the Smith set member that is ranked highest according to the Borda outcome.)