Does the game above have any (pure strategy) Nash equilibria? Find any equilibria or explain why an equilibrium doesn't exist. b. Suppose instead that Aaron moves first and Betty moves second. Represent this situation with a game tree and find the subgame perfect Nash equilibrium. Are Aaron and Betty better off playing a simultaneous game or a sequential game in which Aaron moves first? Explain. c.

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5. Aaron and Betty play the following one-shot game.
Aaron
Up
Middle
Down
Left
10,0
5,10
1,1
Betty
Right
0,5
1,0
2,2
a. Does the game above have any (pure strategy) Nash equilibria? Find any
equilibria or explain why an equilibrium doesn't exist.
b.
Suppose instead that Aaron moves first and Betty moves second. Represent
this situation with a game tree and find the subgame perfect Nash equilibrium.
Are Aaron and Betty better off playing a simultaneous game or a sequential
game in which Aaron moves first? Explain.
c.
Transcribed Image Text:5. Aaron and Betty play the following one-shot game. Aaron Up Middle Down Left 10,0 5,10 1,1 Betty Right 0,5 1,0 2,2 a. Does the game above have any (pure strategy) Nash equilibria? Find any equilibria or explain why an equilibrium doesn't exist. b. Suppose instead that Aaron moves first and Betty moves second. Represent this situation with a game tree and find the subgame perfect Nash equilibrium. Are Aaron and Betty better off playing a simultaneous game or a sequential game in which Aaron moves first? Explain. c.
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