Consider the following game between Kris and Kross in extensive form. Kris b Kross d Kris f a 3,3 C 1,1 e 0,0 (a) Give the number of strategies for Kris and for Kross. (5 marks) (b) Give the number of plans for Kris and for Kross. (5 marks) 4,4 (c) What strategies does Backward Induction select for Kris, what strategies does Back- ward induction select for Kross, and what outcome of the game does Backward Induction yield? (5 marks) (d) Give the normal form representation of the game. (5 marks) (e) What strategies can Kris rationally choose under common belief in rationality? (5 marks)