Question: Consider a game with two players making sequential decisions, Player 1 going first and Player 2 going second, with the following Payoff Matrix: Player 1

Consider a game with two players making sequential decisions, Player 1 going first and Player 2 going second, with the following Payoff Matrix:

Player 1 Player 2 High Medium Low
High 0,1 4,0 3,2
Medium 1,5 2,3 4,4
Low 2,3 3,1 5,2

A. Are there any Nash equilibria? If so, what are the strategies and payoffs?

B. If no information is shared, how many information sets do we have? What do we expect to happen? Why?

C. If we have perfect information, how many information sets do we have? What do we expect to happen? Why?

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