On a duopolistic market, two tobacco firms are considering separately whether or not to engage in a marketing campaign. The market share gained from advertising will depend on whether the other competitor also advertises. The payoffs in millions of pounds for the firms are displayed in the following payoffs table where the first figure in the bracket denotes the payoff to A, and the second figure the payoff to B. Firm B\Firm A Firm A advertises Firm A no advertising Firm B advertises (60,75) (20,150) Firm B no advertising (120, 25) (100,120) a. Is there a dominant strategy? If so, what is the dominant strategy? Explain the meaning of a dominant strategy. b. Is there a Nash equilibrium? If so, what is it? Explain briefly what this implies. Explain the concept of Nash equilibrium.

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter15: Strategic Games
Section: Chapter Questions
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On a duopolistic market, two tobacco firms are considering separately whether or not to engage in a
marketing campaign. The market share gained from advertising will depend on whether the other
competitor also advertises. The payoffs in millions of pounds for the firms are displayed in the following
payoffs table where the first figure in the bracket denotes the payoff to A, and the second figure the payoff
to B.
Firm B\Firm A
Firm A advertises
Firm A no advertising
Firm B advertises
(60,75)
(20,150)
Firm B no advertising
(120, 25)
(100,120)
a. Is there a dominant strategy? If so, what is the dominant strategy? Explain the meaning of a dominant
strategy.
b. Is there a Nash equilibrium? If so, what is it? Explain briefly what this implies. Explain the concept of Nash
equilibrium.
c. Does this advertising game pose a prisoners' dilemma? Justify your answer and explain what this means
for the case of making advertising in cigarettes illegal.
Transcribed Image Text:On a duopolistic market, two tobacco firms are considering separately whether or not to engage in a marketing campaign. The market share gained from advertising will depend on whether the other competitor also advertises. The payoffs in millions of pounds for the firms are displayed in the following payoffs table where the first figure in the bracket denotes the payoff to A, and the second figure the payoff to B. Firm B\Firm A Firm A advertises Firm A no advertising Firm B advertises (60,75) (20,150) Firm B no advertising (120, 25) (100,120) a. Is there a dominant strategy? If so, what is the dominant strategy? Explain the meaning of a dominant strategy. b. Is there a Nash equilibrium? If so, what is it? Explain briefly what this implies. Explain the concept of Nash equilibrium. c. Does this advertising game pose a prisoners' dilemma? Justify your answer and explain what this means for the case of making advertising in cigarettes illegal.
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