# [EM] Ranked Pairs Description

Eric Gorr eric at ericgorr.net
Fri Dec 26 06:03:02 PST 2003

```At 11:06 AM +0100 12/26/03, Markus Schulze wrote:
>Dear Eric,
>
>you wrote:
>
>  > If two or more pairwise defeats have an equal strength and the
>>  margins are also equal, they are considered to be equivalent.
>>  Starting with the strongest defeat, consider each defeat in
>>  sequence with previously kept defeats, if any. If two or more
>>  defeats are equivalent, those defeats are considered together
>  > with previously kept defeats, if any. If any defeat under
>>  consideration is apart of a cycle, it is rejected. If any defeat
>>  under consideration is not apart of a cycle, it is kept.
>
>I suggest that sentence 4 should be replaced by:
>
>   If q equivalent defeats under consideration are parts of a cycle
>   with previously kept defeats, the q! possible ways to consider
>   one of these defeats after the other are considered separately.

An interesting suggestion, but I fail to see how this would make
things clearer.

At no point does the algorithm need to perform a q! operation.

--
== Eric Gorr ========= http://www.ericgorr.net ========= ICQ:9293199 ===
"Therefore the considerations of the intelligent always include both
benefit and harm." - Sun Tzu
== Insults, like violence, are the last refuge of the incompetent... ===

```