Microeconomics (2nd Edition) (Pearson Series in Economics)
2nd Edition
ISBN: 9780134492049
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
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Chapter 18, Problem 6Q
To determine
Scenario where the friend-foe game ends with both the players splitting the money.
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Question 1
Consider the following game. Player 1 has 3 actions (Top, middle,Bottom) and player 2 has three actions (Left, Middle, Right). Each player chooses their action simultaneously. The game is played only once. The first element of the payoff vector is player 1’s payoff. Note that one of the payoffs to player 2 has been omitted (denoted by x).
Determine the range of values for x such that Player 2 has a strictly dominant strategy.
Player 2
Left
Middle
Right
Top
(2.-1)
(-2.3)
(3.2)
Middle
(3.0)
(3.3)
(-1.2)
Bottom
(1.2)
(-2.x)
(2.3)
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 (Player 1) and the second payoff is for the column player (Player 2).
Player 2
Player 1
E
F
G
A
2, 4
7, 7
2, 6
B
10, 6
1, 7
12, 4
C
4, 6
8, 8
7, 7
D
1, 6
3, 9
6, 7
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), Player 2’s choices are shown in the column headings (D, E, F). The first payoff is for the row player (Player 1) and the second payoff is for the column player (Player 2).
Player 2
Player 1
D
E
F
A
6, 8
4, 7
2, 9
B
2, 3
2, 6
4, 7
C
5, 4
7, 5
3, 6
Chapter 18 Solutions
Microeconomics (2nd Edition) (Pearson Series in Economics)
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