[EM] Cycles in sincere individual preferences andapplication to vote-collection

[Adam Tarr]

I'm not sure why this was put in as a second message, but anyway...

Paul Kislanko wrote:

>If you do not believe an individual should be allowed to think, you should 
>not be worried about voting methods.

I certainly don't have a problem with folks having whatever opinions they 
like.  But social choice algorithms are (excepting cases of unanimity) 
about overruling some people's opinions.  I would start by overruling the 
opinions of those whose opinions are self-contradictory.

>I gave an example of how an individual might sincerely have different 
>pariwise rankins that cannot be inferred from a single ranked ballot.

And I disputed its reasonable-ness.

>Now PROVE that an individual s pairwise preferences can be inferred from a 
>ranked ballot. And I don t understand it is not a proof.

Give one vote for the top candidate(s) over every lower candidate(s).
Scratch off the top candidate(s)
repeat until the ballot is exhausted.

What else is there to prove...?