Experimental Results by McRandom Executor: Ingo Althoefer, March 2010 Self-play Results of Pure Monte-Carlo for Double-Step-Race-6 Pairing Number Score of MC(k) MC(k) vs. MC(2k) of games 1-2 999,999 42.4% 2-4 999,999 40.9% 3-6 999,999 41.0% 4-8 999,999 41.4% 5-10 999,999 41.9% 6-12 999,999 42.3% 8-16 100,000 43.5% 16-32 100,000 46.6% 32-64 100,000 49.4% 64-128 100,000 50.0% The score has its minimum value for k=2.