H. G. Muller wrote on Thu, Oct 26, 2017 07:25 PM UTC:
Well, I have not actually calculated that, so it is just based on intuition. But my feeling was that the Bishops win this by covering so much of the board that the Knight has nowhere to go anymore. Which would get more difficult on a larger board.
I do have a program that can generate a tablebase for 3 vs 1 man on boards of up to 14x14 (limited by the memory size of my biggest computer). But not for 3 vs 2, which would require vastly more memory. The more man, the faster the required memory grows with board size. The program uses 1 byte per position, so for 4 men a 12x12 board requires 144 to the power 4 = ~410MB, which fits easily. But for 5 me it would be again 144 times larger, i.e. 57 GB.
Well, I have not actually calculated that, so it is just based on intuition. But my feeling was that the Bishops win this by covering so much of the board that the Knight has nowhere to go anymore. Which would get more difficult on a larger board.
I do have a program that can generate a tablebase for 3 vs 1 man on boards of up to 14x14 (limited by the memory size of my biggest computer). But not for 3 vs 2, which would require vastly more memory. The more man, the faster the required memory grows with board size. The program uses 1 byte per position, so for 4 men a 12x12 board requires 144 to the power 4 = ~410MB, which fits easily. But for 5 me it would be again 144 times larger, i.e. 57 GB.