[EM] 2 precise and universally-applicable definitions of voting X over Y

[Juho Laatu]

I'm ok with all the interpretations. The voter might have cyclic preference opinions, or they might be caused by the chosen ballot structure and questions, or the voter might vote cyclically despite of his/her linear preference opinions. My point is just to have understandable, exact, generic and simple definitions.

Juho


On 12.1.2014, at 17.25, Michael Ossipoff <email9648742 at gmail.com> wrote:

> 
> 
> On Sat, Jan 11, 2014 at 4:56 PM, Juho Laatu <juho4880 at yahoo.co.uk> wrote:
> On 11.1.2014, at 20.30, Michael Ossipoff <email9648742 at gmail.com> wrote:
> 
> > Because ranking X over Y can (with your hypothetical balloting-system) be done circularly, there's nothing wrong with voting X over Y to be likewise circuarly do-able.
> 
> That's fine if your definition of CD is intended to work also with this kind of circular "voting X over Y" relationships.
> 
> I also note that sincere voting X over Y thus does not mean that the voter would prefer X to Y.
>  
> If you vote X over Y and don't prefer X to Y, then, by definition, you're falsifying a preference, and therefore not voting sincerely.
>  
> That isn't any different in a circular ranking. In your A>B>C>A ranking, if you don't prefer A to B, then that is an insincere ballot, based on my definiitions. And, if you don't prefer A to B, then why would you vote A>B? Not because you want to use that vote to express your true feelings.
>  
> Maybe you really do have circular preferences. As you know, that's possible, if the alterntives are judged by several different attributes. If any one or more of the preferences expressed in your circular rankng is false, then clearly, intuitively, that isn't a sincere vote. 
>  
> Some people sometimes propose a balloting system in which, instead of voting a (necessarily transitive) ranking, you separately vote each pairwise vote. That could give sincere circular set  of voted preferences.
>  
> Of course if your preferences are sincerely circular, then you might as well not vote in that election.
>  
> Michael Ossipoff
>  
> 
> Juho
> 
> 
> 
> 
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