[EM] 04/02/02 - We have No Evil of Non-Monotonicity:

[Elisabeth Varin/Stephane Rouillon]

> Monotonicity is not a valid concept.

I disagree.
Tell me your prefer a method respecting the Secret Preferences Criterion
(SPC)
to a method respecting the Monotonicity Criterion.
I like both and hope to find a way
to reconcile them, aiming for scores, not for a winner.

Name: Score Monotonicity Criterion: SMC
Definition:
If an alternative X has score W, and the ballots are changed only by
placing X in lower positions, without changing the relative position of
other candidates,
then X score W must be lower.

Name: Secret Preferences Score Criterion: SPSC
Application: Ranked ballots
Definition:
If alternative X has a score W, and some of the ballots are modified in
their rankings below X, X must still have score W.

I am working on it.

Stéphane Rouillon, Ing.