[EM] Re: A>B, B>A, A=B

[Dave Ketchum]

On Mon, 14 Jun 2004 05:37:41 +0200 (CEST) Kevin Venzke wrote:

> Dave,
> 
>  --- Dave Ketchum <davek at clarityconnect.com> a écrit : 
> 
>>>Dave Ketchum wrote:
>>>
>>>>If two voters rank 
>>>>A=B, the effect should be the same as if one ranked A>B and the other 
>>>>ranked B>A.
>>>>
>>>Dave didn't say anything about no votes for truncated candidates, so I guess he now
>>>advocates Margins.
>>>
>>>
>>I said "rank" - agreed that truncated candidates are liked less than 
>>those explicitly ranked, but they get there via truncation rather than 
>>ranking, and this does not demonstrate equal liking or dislike.
>>
> 
> I see.  I wasn't sure if you were still advocating a Margins/Winning Votes hybrid,
> or if you had decided to only advocate Margins.
> 

I get dizzy on this, but wv sounds better to me.

> 
> I imagine something like an A>B>C>A cycle, where C>A is the weakest defeat, so that
> C is the winner.  In Winning Votes, it's possible that if equal numbers of A>B and B>A 
> voters change their ranking to A=B, then A>B will be the weakest defeat, and A will be
> elected.



At 0235 he corrected the above:

> 
> I want this to read this way:
> I imagine something like an A>B>C>A cycle, where **B>C** is the weakest defeat, so that
> C is the winner.  In Winning Votes, it's possible that if equal numbers of A>B and B>A 
> voters change their ranking to A=B, then A>B will be the weakest defeat, and **B** will be
> elected.
> 
> Two changes necessary.  Sorry.  I hope my intention was clear anyhow.
> 


I lost track of the original context, but it SHOULD have been Condorcet, 
for which I wrote what I CLAIM should be true, NOT Kevin's different 
assumption.

> 
> I think this is justifiable.  A voter ranking A=B instead of A>B is giving up the
> ability to support A over B, in exchange for a greater probability of getting one
> of the two elected instead of C.
> 
> If the method doesn't permit equal ranking to accomplish this, then some of the A>B
> voters will wish that they had instead voted B>A, in order to turn B into a Condorcet
> winner.  That seems undesirable to me.
> 
> Kevin Venzke
> stepjak at yahoo.fr
> 
> 
> 
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  Dave Ketchum   108 Halstead Ave, Owego, NY  13827-1708   607-687-5026
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