Up Down Player 1 Up Down Up Down Player 2 In the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) P1 gets $120 P2 gets $5 P1 gets $100 P2 gets $10 P1 gets $95 P2 gets $95 P1 gets $15 P2 gets $25

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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The image depicts a sequential game tree involving two players, Player 1 and Player 2. The game consists of the following moves and payoffs:

1. **Player 1** can choose either "Up" or "Down."

   - If Player 1 chooses "Up," Player 2 can then choose "Up" or "Down."
     - If Player 2 chooses "Up," Player 1 gets $120 and Player 2 gets $5.
     - If Player 2 chooses "Down," Player 1 gets $100 and Player 2 gets $10.

   - If Player 1 chooses "Down," Player 2 can then choose "Up" or "Down."
     - If Player 2 chooses "Up," Player 1 gets $95 and Player 2 gets $95.
     - If Player 2 chooses "Down," Player 1 gets $15 and Player 2 gets $25.

Below the game tree is a question asking:

"In the game above, what is/are the sub-game perfect Nash equilibrium?"

The options provided for selection are:
- (up, up)
- (up, down)
- (down, up)
- (down, down)
Transcribed Image Text:The image depicts a sequential game tree involving two players, Player 1 and Player 2. The game consists of the following moves and payoffs: 1. **Player 1** can choose either "Up" or "Down." - If Player 1 chooses "Up," Player 2 can then choose "Up" or "Down." - If Player 2 chooses "Up," Player 1 gets $120 and Player 2 gets $5. - If Player 2 chooses "Down," Player 1 gets $100 and Player 2 gets $10. - If Player 1 chooses "Down," Player 2 can then choose "Up" or "Down." - If Player 2 chooses "Up," Player 1 gets $95 and Player 2 gets $95. - If Player 2 chooses "Down," Player 1 gets $15 and Player 2 gets $25. Below the game tree is a question asking: "In the game above, what is/are the sub-game perfect Nash equilibrium?" The options provided for selection are: - (up, up) - (up, down) - (down, up) - (down, down)
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