5) The following set of (extensive form) games represent two firms who are attempting to form a cartel. The firms are called "A" and "B". The moves each can make are "Increase output" (↑ ) and "don't increase output" (X). The first game (shown below) represents their behavior in a single period where they act simultaneously, unaware of what their opponent is doing. Nash Equilibrium (NE) A: В: A A: 3 А: 1 A: 4 A: 2 B: 3 B: 4 B: 1 B: 2 a. Solve the game by the Rollback (backward induction) method by identifying the dominant strategies (the ones that the players choose), and circle the Nash Equilibrium (for the entire game) and write it above the starting node.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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5) The following set of (extensive form) games represent two firms who are
attempting to form a cartel. The firms are called "A" and "B". The moves each
can make are "Increase output" (1 ) and "don't increase output"(X).
The first game (shown below) represents their behavior in a single period
where they act simultaneously, unaware of what their opponent is doing.
Nash Equilibrium
(NE)
A:
В:
A
A: 3
A: 1
A: 4
A: 2
B: 3
B: 4
B: 1
B: 2
a. Solve the game by the Rollback (backward induction) method by
identifying the dominant strategies (the ones that the players choose),
and circle the Nash Equilibrium (for the entire game) and write it
above the starting node.
Transcribed Image Text:5) The following set of (extensive form) games represent two firms who are attempting to form a cartel. The firms are called "A" and "B". The moves each can make are "Increase output" (1 ) and "don't increase output"(X). The first game (shown below) represents their behavior in a single period where they act simultaneously, unaware of what their opponent is doing. Nash Equilibrium (NE) A: В: A A: 3 A: 1 A: 4 A: 2 B: 3 B: 4 B: 1 B: 2 a. Solve the game by the Rollback (backward induction) method by identifying the dominant strategies (the ones that the players choose), and circle the Nash Equilibrium (for the entire game) and write it above the starting node.
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