Please help me this question.

3. The famous British spy 001 has to choose one of four routes, a,b,c or d to ski down a mountain. The notorious rival spy 002 has to decide whether to use (x) or not use (y) his valuable explosive device to cause an avalanche. The payoffs of the game are as follows: X a 12,0 0,6 b 11,1 15 . c 10,2 4,2 d 9,3 6,0 (a) Let u(x) be Player 001's belief that Player 002 chooses x. Calculate the best response correspondence for Player 001. (b) Imagine you are Ms. Cue, the erudite technical adviser to British intelligence. Are there any routes you would advise Player 001 definitely not to take? Why? (c) Find a Nash equilibrium in which one player plays a pure strategy and the other plays a non-degenerate mixed strategy. (d) Find all other Nash equilibria