V. (10%) Players and I choose integers i and j respectively from the set {1, 2, ..., n} for some n ≥ 2. Player 1 wins if i + j = 1. Otherwise, there is no payoff. (a) If n = 7, set up the game matrix and solve. Hint: Use dominance to reduce the size. If n is arbitrary, see if you can solve the game.