Gil Kalai, a well known mathematician, has this to say on the topic of chess and luck:
http://gilkalai.wordpress.com/2009/07/05/chess-can-be-a-game-of-luck/
I didn't follow his argument at all, but it seems like something other LW posters may understand, so I decided to post it here. Do comment on his arguments if you agree or disagree with him.
It's not a matter of being clearer; you didn't say anything like the paragraph cousin_it wrote above. You have to show some intermediate steps here, because it looked to me that you were claiming that the same two opponents would have different probabilities of outcomes depending on the stakes of the game, without any explanation of why this should be so.
If you're indeed talking about the selection bias for players as stakes change (and more or less an "efficient market" hypothesis near the top), you needed to say something in that direction.
Yes, indeed i am talking about selection bias for players as stakes change. When the stakes are higher if players are rational then the selection bias will lead to them to have similar skills, and this means the game turning more into a game of luck, unless.. some players without adequete skills are playing just by gambling effect, and this also pushes the game into a game of luck ---of a different nature