Player 1 Player 2 L R U 2,4 D 6,2 4,2 2,4 why this game has no pure strategy Nash Equilibrium. e mixed strategy Nash Equilibrium. e now player 1 chooses his strategy first, player 2 observes this her choice. re any pure strategy Nash equilibria in this sequential game?

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1. Consider the following game.
Player 1
Player 2
L
R
2,4 4,2
U
D 6,2 2,4
a) Explain why this game has no pure strategy Nash Equilibrium.
b) Find the mixed strategy Nash Equilibrium.
Suppose now player 1 chooses his strategy first, player 2 observes this, then
makes her choice.
c) Are there any pure strategy Nash equilibria in this sequential game?
d) What are the Subgame perfect equilibria of this sequential game?
Transcribed Image Text:1. Consider the following game. Player 1 Player 2 L R 2,4 4,2 U D 6,2 2,4 a) Explain why this game has no pure strategy Nash Equilibrium. b) Find the mixed strategy Nash Equilibrium. Suppose now player 1 chooses his strategy first, player 2 observes this, then makes her choice. c) Are there any pure strategy Nash equilibria in this sequential game? d) What are the Subgame perfect equilibria of this sequential game?
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