> Robert-Jan> > In money games, one can expect from doubling theory that with 
> perfect play,> 2/3 of initial doubles are takes (for redoubles, it is 1/2). 
> Simulations> with GNUBG 2-ply playing against itself indeed get very close to 
> this> number.> 
   Do your 2/3 and 1/2 figures come from early-late ratios? I don't see the 
jump from the ratios
to the statement that those fractions of doubles are takes. Could you explain 
please?
 
Bob Koca
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