Grandmaster Nigel Short once told me, in so many words, that B+(2 connected passed pawns) generally beats R in an endgame. However, more generally, I have trouble believing N+2 pawns is even = to R, at least in endgames where the pawns are not all part of big healthy pawn island(s), which may be the average case in absolute reality.
The equation Q=R+B+P might seldom exactly hold true in a given chess position. As an observation we discussed long ago, sometimes a mixed bag of units that sticks [defensively] together well holds it own (at the least) vs. a Q, especially if she does not have the initiative (if either side does). However, my intuition tells me that Q is preferable to R+B+P in most cases that could ever arise, i.e. on average (maybe even more so than 2 minors outweigh R+P before an endgame on average), since games tend to open up, and that may favour the Q, for one thing (games often eventually opening up is sometimes given as a reason for thinking B>N on average).
So, a feather in Kaufman's cap here for finding the odd-looking value of the Q compared to R+B+P value. The only issue I have is, Q=R+B+P is such a darn useful/appealing rule of thumb for estimating the value of a Q in quick and dirty fashion, even in chess variants - such a fashion can serve players on CVP's GC while more accurate values are waiting to be found for the ever expanding number of variants played here.
Grandmaster Nigel Short once told me, in so many words, that B+(2 connected passed pawns) generally beats R in an endgame. However, more generally, I have trouble believing N+2 pawns is even = to R, at least in endgames where the pawns are not all part of big healthy pawn island(s), which may be the average case in absolute reality.
The equation Q=R+B+P might seldom exactly hold true in a given chess position. As an observation we discussed long ago, sometimes a mixed bag of units that sticks [defensively] together well holds it own (at the least) vs. a Q, especially if she does not have the initiative (if either side does). However, my intuition tells me that Q is preferable to R+B+P in most cases that could ever arise, i.e. on average (maybe even more so than 2 minors outweigh R+P before an endgame on average), since games tend to open up, and that may favour the Q, for one thing (games often eventually opening up is sometimes given as a reason for thinking B>N on average).
So, a feather in Kaufman's cap here for finding the odd-looking value of the Q compared to R+B+P value. The only issue I have is, Q=R+B+P is such a darn useful/appealing rule of thumb for estimating the value of a Q in quick and dirty fashion, even in chess variants - such a fashion can serve players on CVP's GC while more accurate values are waiting to be found for the ever expanding number of variants played here.