1) Consider the following extensive form game of coordination. Firms 1 and 2 must choose between technologies A and B. Firm 1 prefers technology A while firm 2 prefers technology B, but the firms obtain value from coordination. The following extensive form represents the game: Firm 1 A B Firm 2 Firm 2 A1 B1 0,0 A2 -0,0 2,1 B2 Note that this game is not simultaneous. 1,3 a) Find all the pure strategy Nash equilibria of this game b) Which outcomes satisfy the criterion of backward induction? c) Before Firm 2 makes its move, it sees a press release from firm 1 saying that it believes that the industry will converge to technology A. Would such a statement change the outcome of the game?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1) Consider the following extensive form game of coordination. Firms 1 and 2 must choose
between technologies A and B. Firm 1 prefers technology A while firm 2 prefers
technology B, but the firms obtain value from coordination. The following extensive form
represents the game:
Firm 1
A
B
Firm 2
Firm 2
A1
B1
A2
B2
Note that this game is not simultaneous.
2,1
0,0
-0,0
1,3
a) Find all the pure strategy Nash equilibria of this game
b) Which outcomes satisfy the criterion of backward induction?
c) Before Firm 2 makes its move, it sees a press release from firm 1 saying that it believes
that the industry will converge to technology A. Would such a statement change the
outcome of the game?
Transcribed Image Text:1) Consider the following extensive form game of coordination. Firms 1 and 2 must choose between technologies A and B. Firm 1 prefers technology A while firm 2 prefers technology B, but the firms obtain value from coordination. The following extensive form represents the game: Firm 1 A B Firm 2 Firm 2 A1 B1 A2 B2 Note that this game is not simultaneous. 2,1 0,0 -0,0 1,3 a) Find all the pure strategy Nash equilibria of this game b) Which outcomes satisfy the criterion of backward induction? c) Before Firm 2 makes its move, it sees a press release from firm 1 saying that it believes that the industry will converge to technology A. Would such a statement change the outcome of the game?
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