Question: (35)) We consider a game with two players, A and B. The players each make one decision, simultaneously with and independently of the other. Each

(35)) We consider a game with two players, A and B. The players each make one decision, simultaneously with and independently of the other. Each chooses whether to exert eort from the set of alternatives {0,1,2}. If the total eort exerted by the two players is x; each player gets a payo of (:9)(x):The cost of each unit of eort is borne by the player exerting it and is equal to 1. Thus the payo to a player who exerts y units of eort when the total amount exerted is x is (:9)x y: Write down the strategic form of this game, including the payos. Is there a strictly dominant strategy? 3

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