If you have no played it, try this game with some friends. It's surprisingly fun. > To simplify the problem, let’s start with the simple scenario where you are competing against two other persons. > P(wining)~=0.296 Where does the other 11.2% go? Is the probability of a triple tie? Perhaps you can add it to the article.
I think a triple tie means no one wins, which would explain why the probability of winning is less than 1/3. (If each of the three players is playing the same Nash equilibrium strategy, they should each win with the same frequency.)