What is the Nash equilibrium of this simultaneous-move game? (b) What would the outcome of this game be if instead firm 1 moved first and then, after seeing what firm 1 chose, firm 2 chose it strategy? In this case firm 1 doesn’t necessarily need to choose a best response, but firm 2 must choose a best response since it moves second.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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Solve for the Nash equilibrium (or equilibria) in each of the following games.

(a) The following two-by-two game is a little harder to solve since firm 2’s
preferred strategy depends of what firm 1 does. But firm 1 has a dominant
strategy so this game has one Nash equilibrium.

                                        Firm 2

                                Launch       Don’t
Firm 1      Launch     60, -10      100, 0
                  Don’t       80, 30      120, 0


What is the Nash equilibrium of this simultaneous-move game?


(b) What would the outcome of this game be if instead firm 1 moved first and then, after seeing what firm 1 chose, firm 2 chose it strategy? In this case firm 1 doesn’t necessarily need to choose a best response, but firm 2 must choose a best response since it moves second.

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