a 1400, a 1400 to an 1100, an 1100 to a 900, etc. This is pretty obviously the way it must work, because the weaker the players are, the more likely the weaker one is to blunder a piece or more. When you get down to the level of the average 8 year old player, knight odds is just a slight edge, maybe 50 points or so. Kaufman has written that Kasparov could give pawn and move odds to a weak grandmaster (2500 FIDE rating) and be slightly favored, and would have even chances at knight odds against a player with a FIDE rating of 2115. Illustrative games Pawn and move This game was won by Siegbert Tarrasch, whom Assiac described as "one of the greatest experts of 'Pawn and move' theory": K. Eckart vs. Tarrasch, Nuremberg Chess Club Championship 1887–88 (remove Black's f-pawn) 1. e4 Nc6 2. f4 e5 3. Nf3 exf4 4. Bc4 Bc5 Planning the following unsound but tricky sacrifice. 5. d4 Nxd4 6. Nxd4 Qh4+ 7. Kf1 d5 Sacrificing another pawn for rapid . 8. exd5 Bg4 9. Bb5+ Evidently overlooking Black's next move. Correct was 9.Qd3, with a satisfactory defense. c6 10. dxc6 0-0-0! 11. cxb7+ Kxb7 12. Bc6+ Kb6 13. Qd3 Rxd4 Black has regained the sacrificed piece and, contrary to appearances, his king is quite safe. 14. Qb5+ Kc7 15. Qb7+ Kd6 16. Nc3 Allowing a pretty finish, but 16.Bf3 Rd1+! 17.Ke2 (17.Bxd1 Qf2#) Bxf3+ 18.Qxf3 Rxh1 also wins for Black. Qf2+! 17. Kxf2 Rd1+ (discovered check) 18. Be3 Bxe3# Notes based on those by Fred Reinfeld. Knight odds Johannes Zukertort vs. Epureanu, Berlin 1872 (remove White's queen knight) 1. f4 e6 2. Nf3 Nf6 3. b3 d5 4. Bb2 c5 5. e3 Nc6 6. a3 a6 7. Bd3 Bd6 8. Qe2 0-0 9. g4 Nxg4? Imprudently allowing White to attack Black's king along the g-file. 10. Qg2 Nf6 11. h4 h6 12. h5 Kh8 13. 0-0-0 Ne8 14. Rdg1 Rg8 15. Bh7 f6 (15...Kxh7 16.Qg6+!! fxg6 17.hxg6+ Kh8 18.Rxh6#) 16. Bxg8 Kxg8 17. Qg6 Kh8 18. Ng5! hxg5 19. fxg5 Ne7 20. gxf6!! Nxg6 21. hxg6+ Kg8 22. Rh8+! Kxh8 23. f7 There is no defense against mate. If 23...Qh4 (stopping the threatened 24.Rh1+), 24.fxe8(Q)+ Bf8 25.Qxf8#. Francis J. Wellmuth calls this "the finest odds-game ever played". Irving Chernev and Fred Reinfeld call the conclusion "the finest finish in this type of