[EM] Fall Back Approval

[Kevin Venzke]

Forest,

--- "Simmons, Forest " <simmonfo at up.edu> a écrit :
> In the first round only the alternatives ranked first (or equal first) are counted as approved,
> i.e. a tentative cutoff is placed immediately below the top rank on each ballot.
>  
> In subsequent rounds the tentative cutoff is moved down one rank on all ballots for which the
> current tentative approval winner lies more than one rank below the current tentative cutoff.
>  
> When all tentative cutoffs cease to move, the current approval winner is declared winner of the
> election.
>  
> [End of Method Definition]
>  
> Is this method monotonic?
>  
> Does it satisfy the FBC?

I'm sure it lacks both. When a ballot approves a candidate (either initially or
in response to a current leader), there is no guarantee that it will be purely
helpful, since other ballots can "react" to it.

This is similar to a method I suggested some time ago. I think the only
difference is that in my method, *all* ranks above the current approval winner
became approved. (Possibly I only suggested a three-slot version.)

These "repeated rounds" methods (including, say, GIA) can't be monotonic, since
they don't use information monotonically. (Kind of a silly thing to say, but
it's an intuitive litmus test.)

Kevin Venzke



	

	
		
_____________________________________________________________________________ 
Découvrez le nouveau Yahoo! Mail : 1 Go d'espace de stockage pour vos mails, photos et vidéos ! 
Créez votre Yahoo! Mail sur http://fr.mail.yahoo.com