[EM] "non-cyclic" pairwise loss?

[C.Benham]

The Electowiki  page on Heitzig's  River method includes:

> River can be interpreted as a Minmax 
> <http://wiki.electorama.com/wiki/Minmax> method, Minmax(non-cyclic 
> pairwise loss) or MMNCPL. It is similar to Minmax(winning votes) 
> except that River elects the candidate whose greatest /non-cyclic/ 
> pairwise loss to another candidate is least. As in Ranked Pairs 
> <http://wiki.electorama.com/wiki/Ranked_Pairs>, the greatest pairwise 
> loss (GPL) of each candidate is considered in order from largest 
> (among all candidates) to smallest and locked. If a candidate's GPL is 
> cyclic, it is discarded, and the next-greatest pairwise loss of that 
> candidate is added to the list. When the non-cyclic greatest pairwise 
> losses of (N-1) candidates have been locked, the remaining candidate 
> is the winner. 

http://wiki.electorama.com/wiki/River

What is the clear and simple definition of a  "cyclic" pairwise loss?

If all the candidates are in the Smith set, aren't  *all* the pairwise 
losses (at least in some sense)  "cyclic"?

Chris Benham
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