What is your take on their values?
Please note, I will probably not agree with your opinion, but I would like to hear it.
Mine, generally speaking:
Knight: 3.33 to 3.5 ( 3.33 90+% of the time, same for bishop )
Bishop: 3.33 to 3.5
Queen: 9.75 – read an article once, based on computer evaluations of GM games.
I google on this and most will say Knight and Bishop are worth 3 pawns (I’m aware, some will swear up and down that this is the case), some will say 3.25, one chess program I used a long time ago put them at 3.33.
For as long as I can remember, say 20 years, I would always take 2 minor pieces for rook and pawn try to win with that, so 3 is out of the question for me. The thing is that knight and bishop or even 2 bishops can interlock squares and compliment one another very well (perhaps a knight pair in an open position with queen and rooks off is worth less, but when does that ever happen), their synergy increases their individual value.
I’ve been studying a combo from a position in the Scotch, and I think Crafty may be hamstrung but whatever it evaluates the pieces to be (don’t know, just a guess). Whereas Shredder solves the position, and probably gets the piece value right under the covers. It’s just that Crafty will routinely go for this, but not have the human evaluation of the board to see that going based on point values can lead to crap. I think even “weak” players can often get the human sense of a position right, as it’s just an intuitive feeling. Anyway, I could post this example. I’ve played thousands upon thousands of games of chess, I have a pretty good feel for the endgame, and more lately for middle-game complexities such as this tradeoff for rook and pawns vs. 2 pieces. It only comes to my attention as perhaps an Achilles heel of a chess engine.