On Feb 9, 2005, at 10:25 AM, Sea&Gull wrote:
> Or I misunderstand the meaning of "is bounded"?

Your understanding of "is bounded" is technically/grammatically correct
but will tend to confuse people as there is an (American) idiomatic
expression: "bound to win" which means likely (or almost sure) to win. 
So '"is bounded" to win' and 'bound to win' have essentially opposite
meanings.

I think saying something like "player two is less likely" to win is more
clear.

Out of curiosity, what is your native language?

regards,
Randy Kramer