On 26.5.2011, at 4.35, robert bristow-johnson wrote:

> being that they choose the same winner in the case that there are only 3 
> candidates in the cycle, i would recommend Tideman over Schulze (sorry 
> Marcus) for the simplicity of explanation.  while getting a Condorcet cycle 
> is expected to be rare enough, how often in real elections in government, 
> would you expect a situation where RP and CSSD will arrive at a different 
> result?

If there are only few candidates and clear political agendas and clear 
differences between them, then cycles of 3 are probably much more common than 
cycles of 4. If there is a large number of quite equal candidates and no 
dominant or clear preference orders among the voters, then cycles of 4 and 
higher could be almost as common. In that case the differences between methods 
that differ only on cycles of 4 become relevant, maybe not very critical 
though. The choice between margins and winning votes could impact the results 
sooner. I guess Schulze is by default winning votes based. Ranked pairs maybe 
more margins oriented(?). But one could use either depending on one's 
preferences.

If you are looking for simplicity then maybe also minmax should be considered 
since it (the margins version) simply measures the number of required 
additional voters to beat all others. That is easy to explain, and also to 
visualize the results during the counting process (one should pay some 
attention also to this kind of real-time visualizations). It may pick also 
outside the top cycle in some extreme situations where the losses within the 
cycle are worse than the losses of some compromise candidate outside the cycle. 
Good or bad (to always respect the clone independence or to pick the least 
controversial winner), maybe a matter of taste.

Juho




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