--- In [email protected], Lars Petrus 
<[EMAIL PROTECTED]> wrote:
> It seems to me that a fully random RPS player would have exactly 
50% 
> chance to win every game, and thus the same chance as any other 
player 
> to win a tournament. In other words, if 100 players enter a 
tournament, 
> a random player will have exactly 1% chance to win it. Or is that 
wrong 
> in some way??

That sounds correct for one scenario: N players in a knockout 
competition of log N rounds (log to base 2), so there's a 50% chance 
of Mr Random progressing from one round to the next.

But if everyone has to play everyone else, I suspect that the 
probability of Mr Random winning is much lower: the winner needs to 
get the highest overall score, and the strong programs that exploit 
patterns in the play of weak programs will be winning significantly 
more than half their games.  

Mike





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