Question: Consider the following game tree. As always, the top payoffs at a leaf are for player I and bottom payoffs for player II. (a) What

Consider the following game tree. As always, the top payoffs at a leaf are for player I and bottom payoffs for player II.

(a) What is the number of strategies of player I and of player II?

(b) How many reduced strategies do they have?

(c) Give the reduced strategic form of the game.

(d) What are the equilibria of the game in reduced strategies?

(e) What are the sub game perfect equilibria of the game?I II R a II 120 b I 11 I A/B C

I II R a II 120 b I 11 I A/B C 1 E 3 9 76 2 8+ 4 3 4 2 0

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