There are some games that don’t have a Nash equilibrium. Consider a 1-player game where the available strategies are the numbers between 0 and 1, and your payoff is 1-x if you pick x>0 and 0 if you pick x=0. There is no Nash equilibrium.
If many players assign 0 utilons to tying and losing in this game, and 1 to winning, then 0 is still a Nash equilibrium, but if there is any positive chance that some gimp will submit a nonzero answer just for the hell of it, then you definately shouldn’t play zero.
By the way, I guessed 100. I’m not very good with numbers—I think 100 is the best answer, right ;-0
There are some games that don’t have a Nash equilibrium. Consider a 1-player game where the available strategies are the numbers between 0 and 1, and your payoff is 1-x if you pick x>0 and 0 if you pick x=0. There is no Nash equilibrium.
If many players assign 0 utilons to tying and losing in this game, and 1 to winning, then 0 is still a Nash equilibrium, but if there is any positive chance that some gimp will submit a nonzero answer just for the hell of it, then you definately shouldn’t play zero.
By the way, I guessed 100. I’m not very good with numbers—I think 100 is the best answer, right ;-0