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How to solve these Qs? 6. (14 points) Consider the following game. Alice and Bob simultaneously decide whether to watch hockey, basketball, and dancing. The

How to solve these Qs?

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6. (14 points) Consider the following game. Alice and Bob simultaneously decide whether to watch hockey, basketball, and dancing. The payoff table is illustrated as follows, where the first number in each cell is Alice's payoff and the second is Bob's payoff. Bob hockey2 basketball2 dancing2 hockey 1 1,1 0,2 0.3 Alice basketballl 3,0 2,3 1,1 dancing 1 2.0 2.2 3,2 (a) (4 points) List dominated strategies for both players. If there is none, write "none." (b) (4 points) List dominant strategies for both players. If there is none, write "none." (c) (6 points) Find all Nash equilibria. 7

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