Consider the game shown below. In this game, players 1 and 2 must move at the same time without knowledge of the other player’s move. Player 1’s choices are shown in the row headings (A, B, C, D), Player 2’s choices are shown in the column headings (E, F, G). The first payoff is for the row player (Player1) and the second payoff is for the column player (Player 2).
Consider the game shown below. In this game, players 1 and 2 must move at the same time without knowledge of the other player’s move. Player 1’s choices are shown in the row headings (A, B, C, D), Player 2’s choices are shown in the column headings (E, F, G). The first payoff is for the row player (Player1) and the second payoff is for the column player (Player 2).
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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Question
Consider the game shown below. In this game, players 1 and 2 must move at the same time without knowledge of the other player’s move. Player 1’s choices are shown in the row headings (A, B, C, D), Player 2’s choices are shown in the column headings (E, F, G). The first payoff is for the row player (Player1) and the second payoff is for the column player (Player 2).
|
Player 2 |
||
Player 1 |
E |
F |
G |
A |
2, 7 |
7, 2 |
2, 6 |
B |
5, 5 |
5, 4 |
8, 4 |
C |
4, 6 |
8, 4 |
7, 5 |
D |
1, 6 |
3, 5 |
6, 4 |
Highlight the correct answer:
Player 1:
- Has a dominant strategy to choose A
- Has a dominant strategy to choose B
- Has a dominant strategy to choose C
- Has a dominant strategy to choose D
- Does not have a dominant strategy
Player 2:
- Has a dominant strategy to choose E
- Has a dominant strategy to choose F
- Has a dominant strategy to choose G
- Does not have a dominant strategy
The Nash equilibrium outcome to this game is:
- A/F
- B/E
- B/G
- C/F
- C/G
- There is no pure strategy Nash equilibrium for this game
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