I agree more with Fischer valuation of the chess pieces, and I found out this in Wikipedia, but I disagree that the two Rooks are slightly more powerful in the endgame.Nordlandia wrote: ↑Sun Jan 27, 2019 5:37 pm Chessqueen: A rook value of 4¾ is is my preferred value over 4½.
Pawn = 1.0
Knight = 3.0
Bishop = 3.25 (per Fischer)
Rook = 4.75
Queen = 9.5 ?
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King ~ 3.00 in the endgame.
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Changing valuations in the endgame
As already noted when the standard values were first formulated (Lolli 1763:255), the relative strength of the pieces changes as a game progresses to the endgame. The value of pawns, rooks and, to a lesser extent, bishops may increase. The knight tends to lose some power, and the strength of the Queen may be slightly lessened, as well. Some examples follow.
A queen versus two rooks
In the middlegame, they are equal
In the endgame, the two rooks are somewhat more powerful. With no other pieces on the board, two rooks are equal to a queen and a pawn
A rook versus two minor pieces
In the opening and middlegame, a rook and two pawns are weaker than two bishops; equal to or slightly weaker than a bishop and knight; and equal to two knights
In the endgame, a rook and one pawn are equal to two knights; and equal to or slightly weaker than a bishop and knight. A rook and two pawns are equal to two bishops (Alburt & Krogius 2005:402–3).
Bishops are often more powerful than rooks in the opening. Rooks are usually more powerful than bishops in the middlegame, and rooks dominate the minor pieces in the endgame (Seirawan 2003:ix).
As the tables in Berliner's system show, the values of pawns change dramatically in the endgame. In the opening and middlegame, pawns on the central files are more valuable. In the late middlegame and endgame the situation reverses, and pawns on the wings become more valuable due to their likelihood of becoming an outside passed pawn and threatening to promote. When there is about fourteen points of material on both sides, the value of pawns on any file is about equal. After that, wing pawns become more valuable (Berliner 1999:16–20).
