Why x2?
Here's the page from the original wiki: http://old.robowiki.net/robowiki?RoboRumble/PremierLeague The description of how it works is unsigned, but from the chat I always assumed it was suggested by PEZ.
The new rumble server is a reverse-engineering effort, largely supported by what I could glean from the wiki. For the PL score, I cheated a little bit: since the odds of having a perfect 50/50 APS split is vanishingly small, I just multiplied the number of won pairings by two and skipped the calculation of ties. I'm not sure how the old rumble server's code handled it.
Changing the display to # won pairings / total pairs would be trivial. But I don't really want to add more columns, so would retiring the "classic" PL score column be ok? I also have another change in the works to add APW: average percentage win rate over all pairings, where the win rate for each pairing is # wins / # battles for that pair. That's based on the discussion from a while back about alternative scoring systems.
Wow, yes, that was indeed my suggestion to begin with. I remember it now. As I read the old discussion it seems that there is agreement around making it really transparent. When I originally suggested it I didn't realize just how seldom bots truly tie. I also find this
- Why, if you don't win against a bot you could as well have 0 points. 3 points for a win and zero for other outcomes might be a bit weird though, so make it 1 point for the win instead. -- PEZ
Seems like what I find weird today, I found weird back then too. =)
I suggest making that change and also to remove the old PL reference. Yes, it hurts a bit, but it'll make for one less legacy thing for newcomers to wonder about.
I would also prefer counting 1 point for a win and 1/2 for a tie in PL. Other formats for showing the score could be:
- - Leaving wins, ties and losses separated, like "840-0-1".
- - Or using Copeland score, which is (wins - losses), 840 wins and 1 loss would be "839". The difference is, missing pairings would be more easily counted as ties instead of losses.
As for APW, after reading a lot about voting/ranking systems, I realized PL is superior to APW in the fairness subject. If there would be a new ranking system, it would vote for a Schulze based one.
