Problem Bot Index

I'm not sure, but I think PBI with Elo/Glicko was based on some magical formula between the ratings. Maybe an APS-based measure would just be the average score your neighbors get against that bot. So like if you're ranked #25, the average score against bot B for ranks 15-35 is your expected score.

Of course, if you're #1, you can only got from 2-11, but that's probably still useful info. And in that case (or in every case), you could shift everything so your average PBI is still 0.