Experimental Results by McRandom Executor: Ingo Althoefer, March 2010 Self-play Results for Double-Step-Race-10 Pairing Number Score q(k) MC(k)-MC(2k) of games 1-2 999,999 41.6 % 2-4 999,999 40.1 % 4-8 999,999 39.3 % 8-16 999,999 38.8 % 16-32 999,999 41.6 % 32-64 999,999 46.9 % 64-128 999,999 49.6 % 128-256 999,999 50.0 % The minimum (amongst the powers of 2) is reached at MC(8) vs. MC(16).