AbigailII: few positions ? many, many position in chess have undiscovered yet better plays  ... not just few ... my strategy is opposite to what you think: because I discovered a brilliant idea I WILL DOUBLE, not the other way around. You may created an open tournament for every skill level but you may also restrict weak players, right ? So where is the problem ... Bill Robertie one said (two times backgammon world champion) that an average, very good player would have zero chance with the elite players in the match to 21 points ... these players also can double after the first roll knowing that they will win in the long run ...

Would they do it ?