The PR calculation: A question
The PR calculation: A question

The PR calculation: A question

This is something I've thought about on many occasions: Sometimes I feel like the way we calculate PR isn't fair and doesn't make sense.

PR = (total equity lost / decisions made) x -500

As everyone agrees, this somewhat punishes a player for having less decisions, and somewhat rewards a player for having more decisions. Most people seem to feel that this is a fair trade, because the player making more decisions has more chances to commit an error or blunder. But I don't feel like it is necessarily an even trade at all. Sometimes I feel like the punishment for having fewer decisions is an absolutely massive factor in the final PR, far beyond the scope of the potential the other player had to error or blunder during those moves.

Take the match I just played. Match to 5. My total equity lost was -0.92, my opponent's total equity loss was -0.91, so almost exactly equal. Our final PRs were: Me 10.22 - Opponent 5.55. That is a massive difference. And that was all because I spent a large amount of rolls on the bar. Is it really accurate to say I was outplayed by that much?

(I should clarify that this was on Backgammon Galaxy, where you're getting a relatively light level of analysis. The picture could look different under higher settings. But the principal still stands.)

Another important thing: It's not as if the player making decisions while their opponent is on the bar is facing a random set of decisions. There are some typical situations that come up much more often than others. Say, if you have your opponent closed out, then what's most likely is that you are bringing your back checkers around / bearing in / bearing off. These are not generally the toughest decisions. Meanwhile your opponent is potentially taking a big PR hit.

And finally, what necessarily leads a player to being on the bar? A player could make a completely correct play which leaves a blot. If that blot is hit, were they wrong? Did they play badly? Obviously not. But it wouldn't matter. They would still take the PR hit for their time spent on the bar.

Anyway, I sometimes get to thinking about this. I don't think the simple answer of "Well, count all moves total then, not decisions" would really work either. So, I don't know what the solution is. But I would love to hear anyone else's thoughts on this. What am I missing? Does everyone else feel it is fine the way it is? I'm curious.

21 May 2021 at 03:51 AM
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Take the match I just played. Match to 5. My total equity lost was -0.92, my opponent's total equity loss was -0.91, so almost exactly equal. Our final PRs were: Me 10.22 - Opponent 5.55. That is a massive difference. And that was all because I spent a large amount of rolls on the bar. Is it really accurate to say I was outplayed by that much?

Yes. PR is a measure of skill. On average, your mistakes were twice as bad as those of your opponent. You got outplayed.


The PR right now has flaws but I think taking the number of decisions is better than the number of moves.
Squeezing out some additional decisions... a bit weird.

What I totaly dislike is that it ignores that BG is not only a mathmatical puzzle but has some parts of psychology.
- If it is a no double but your opponent passes, why get a penalty?
- If it is to good and you opponent takes, why a penalty

But you wont see changes in XG....

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