It’s awkward to talk about, but it is of highly questionable effectiveness in general. A 2000 rated chess player should very rarely Aumann much on the implicit opinion of a 1600; if you’re playing blitz you just assume it’s a blunder. (If you’re playing rapid you have more time; it’s like the difference between a real-time conversation and an internet discussion.) Sure, they’re both in the category “decent chess players”, and in far mode 400 rating points doesn’t feel like a big difference—and over the course of months it’s very surmountable—but during the game it’s really important to keep the strength difference in mind. This is why it’s really sad that “rationality” doesn’t (can’t) have a martial-arts-style belt system. Everybody prides themselves on their ability to think effectively about arbitrary topics and thus any claim of inequality is at best awkward and at worst lastingly offensive.
It’s awkward to talk about, but it is of highly questionable effectiveness in general. A 2000 rated chess player should very rarely Aumann much on the implicit opinion of a 1600; if you’re playing blitz you just assume it’s a blunder. (If you’re playing rapid you have more time; it’s like the difference between a real-time conversation and an internet discussion.) Sure, they’re both in the category “decent chess players”, and in far mode 400 rating points doesn’t feel like a big difference—and over the course of months it’s very surmountable—but during the game it’s really important to keep the strength difference in mind. This is why it’s really sad that “rationality” doesn’t (can’t) have a martial-arts-style belt system. Everybody prides themselves on their ability to think effectively about arbitrary topics and thus any claim of inequality is at best awkward and at worst lastingly offensive.