Consider an n-player game in which each player simultaneously chooses between

alternatives X and Y . The payoff of player i is 1 if she selects Y . The payoff of player i for

selecting X is 2 when no other player chooses X; otherwise, if at least one other player also

chooses X, her payoff is 0. This game has a mixed-strategy Nash equilibrium in which each

player selects Y with probability p. (The probability p is the same for all players.) Calculate

p.