Comments/Ratings for a Single Item

I'm not quite sure whether I want to rate this Good or Excellent so I'll go with the higher rating. This is a great way to enhance weaker pieces without making them too strong. An interesting variation of this idea might be to have all the pieces except the king and queen start without their non-capturing king moves and gain them by promoting on the last two ranks.

After fifteen years I finally decided on an excellent rating. One contributing factor was the Checkmating Applet telling me that a King and two (improved) Knights can checkmate a lone King in 33 moves or less on the 10x10 board.

Estimating Pawn=1, Knight=4, Bishop=4.5, Minister=5.5, Rook=6, Queen=10 points. I started with my usual values on the 10x10 board, then added 0.5 to the Rook and 1.0 to the Knight (8 more moves) and Bishop (4 more moves, plus no longer colorbound). Now a Queen is only worth as much as a Rook and a Knight.

Indeed the Ajax Knight is 'potent', as the F move allows it to switch its attack from c1 to a1 in a single move (e.g. Nd3-c2). So it should be able to checkmate in combination with almost any piece.

Note that on 8x8 I never saw much effect of adding moves to a Bishop that lifted the color binding. Giving the Bishops of one player a single orthogonal non-capture step, and the other player that same move on the Knights, did not really swing the score away from 50%. If color binding is a handicap, it seems to manifest itself only for the unpaired piece, making its value less than half of that of the pair. This argues for the Knight gaining more from getting 8 moves than the Bishops gain from 4.

I also did some tests with multiple color-bound pairs (for evaluating the Color-Bound Clobberers CwDA army). The results were best explained by the theory that the intrinsic value of the pieces is half the pair value, but that you have to subtract a fixed penalty if the color bounds are not equally distributed over the two shades.