What is a "strong" Condorcet method?

Juho


On 29.9.2012, at 23.11, Kristofer Munsterhjelm wrote:

> On 09/28/2012 10:11 PM, dn...@aol.com wrote:
>> A > B
>> 
>> Choice C comes along.
>> 
>> C may - head to head ---
>> 
>> 1. Beat both
>> C > A
>> C > B
>> 2. Lose to both
>> A > C
>> B > C
>> 3. Beat A ---- BUT lose to B
>> C > A > B > C
>> 
>> Thus, obviously, a tiebreaker is needed in case 3.
>> Obviously perhaps Approval.
>> 
>> i.e. BOTH number votes and YES/NO Approval votes.
>> 
>> Obviously much more complex with 4 or more choices.
>> ---
>> ANY election reform method in the U.S.A. has to get past the math
>> challeged appointed folks in SCOTUS.
>> 
>> i.e. ANY reform must be REALLY SIMPLE.
>> --------
>> Condorcet applies for legislative bodies and single or multiple
>> executive/judicial offices.
> 
> I think Ranked Pairs is the simplest "strong" Condorcet method. You sort the 
> pairwise victories so that the strongest comes first, then you go down the 
> list, adding that victory to the final order unless it would contradict 
> something you added earlier.
> 
> So say you have
> 
> 100 voters prefer A to B
> 80 voters prefer B to C
> 85 voters prefer C to A
> 
> which would give you:
> 
> First the result must place A higher than B. (Okay.)
> Second, the result must place C higher than A. (Okay.)
> Third, the result must place B higher than C... but that's impossible because 
> C is higher than A is higher than B. So skip it.
> 
> And the winner is thus C. A comes second, and B third.
> 
> -
> 
> On the other hand, Schulze is being used more widely, so it's a question of 
> what will be more persuasive: saying "this thing is simple", or "this thing 
> is used lots of places".
> 
> ----
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