[ Help | Earliest Comments | Latest Comments ][ List All Subjects of Discussion | Create New Subject of Discussion ][ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]Single Comment Great Shatranj. Great Shatranj. (10x8, Cells: 80) [All Comments] [Add Comment or Rating]H.G.Muller wrote on 2008-04-28 UTCThe Commoners did make a strong come-back in my GG vs NN end-game test, and finally won a 133-game match by 55.3%. This shows that indeed they do perform vbetter in the end-game than in the opening, compared to Knights. Normally I would say that the 5.3% excess score corresponds to 40cP, so that each Commoner is 20cP than a Knight, i.e. 320. (In stead of their opening value 265.) Here that would be really premature, as I have not determined the end-game value of a Pawn. (My intuition tells me it must score better than the 62% for Pawn odds in the opening, as the best you could hope for in the latter case is to preserve the advantage to the ending through game stages that are still full of tactical surprises, which could easily erase the advantage. Unlike a Piece advantage, a Pawn advantage in general does not automatically grows during the progress of the game. You can only start building out a Pawn advantage when the board gets empty enough that it can be converted to a passer that can be safely pushed through enemy territory. So an end-game Pawn might give an excess score larger than 12%, and hence the 5.3% would correspond to less than 40cP.) But no matter what the end-game Pawn value is, it is clear that the G-N difference changes sign. This could be due to a drop in value of the Knight as well, and is not necessarily proof that the Commoner rises in value. According to Larry Kaufman's analysis of 8x8 games, a Bishop or Rook rise in value compared to other pieces (including the Knight) as well. He expresses this as a function of the number of Pawns present, and the B-N swing can be 50cP in going from positions with all Pawns to positions without Pawns. This is similar to what we observe for the G-N value. It would take far more end-game test matches, involving all piece types, to determine this. (In particular Q vs 3 minors would be useful.) Whatever the case, the relative Commoner increase is a comparatively small effect. It never ever even gets close to the commonly encountered estimate of 400.