Question: Consider the following game tree. (a) What is the number of strategies of player I and of player II? How many reduced strategies does each

Consider the following game tree.

(a) What is the number of strategies of player I and of player II? How many reduced strategies does each of the players have?

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

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

(d) Identify every pair of reduced strategies where one strategy weakly or strictly dominates the other, and indicate if the dominance is weak or strict. II a 2 52 I R C II d I 9 3

II a 2 52 I R C II d I 9 3 31 4 1 S T 1 0 2 3

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