Yes, there are areas where single-winner methods are more challenging. For 
example multi-winner STV works better than single-winner STV, and it is easier 
to collect sincere ratings in multi-winner methods than in single-winner 
methods. On the other hand the field of study may be wider in multi-winenr 
methods (a bit like N is more complicated than 1). In multi-winner methods we 
may have some additional aspects to study and solve like proportionality, 
geographical proportionality and the computational complexity related problems 
tend to cause problems. Individual problems may thus be more numerous in 
multi-winner methods although some individual problems may be more challenging 
in single-winner methods.

Juho



On 3.8.2011, at 19.35, James Gilmour wrote:

> Juho Laatu  > Sent: Wednesday, August 03, 2011 6:04 AM
>> Multi-winner methods are, if possible, even more complicated 
>> than single-winner methods. 
> 
> I disagree.  It is much easier to obtain a "satisfactory" (representative, 
> acceptable) outcome for a multi-winner election than it
> is to obtain a "satisfactory" (representative, acceptable) outcome for a 
> single-winner election.  Choosing a method to elect the
> candidate who best represents the voters in a single-winner election is the 
> most difficult challenge in electoral science.  As soon
> as you elect two or more candidates together, many of the problems disappear.
> 
> James Gilmour
> 
> 
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