Question

Imagine a scenario in which your company has only 1 competitor. You and your competitor are...

  1. Imagine a scenario in which your company has only 1 competitor. You and your competitor are both considering running TV ads to promote your own product. You estimate that you and your competitor profits will be as follows if you do or do not run the ads:

Competitor

Advertise

Do not advertise

Your firm

Advertise

2000, 1500

2800, 700

Do not advertise

900, 2100

2600, 1800

What is the Nash equilibrium of this game? (3pts)
If you and your competitor could talk on the phone (imagine it was legal to do so) to coordinate whether to advertise or not, what would the outcome be? (2pts)

Homework Answers

Answer #1

(a)

If Competitor Advertises, my firm’s best strategy is to Advertise since payoff is higher (2000 > 900).

If Competitor Doesn't Advertise, my firm's best strategy is to Advertise since payoff is higher (2800 > 2600).

If my firm Advertises, Competitor's best strategy is to Advertise since payoff is higher (1500 > 700).

If I Don't Advertise, Competitor's best strategy is to Advertise since payoff is higher (2100 > 1800).

Nash equilibrium is: (Advertise, Advertise) [see below].

(b)

If collusion was permitted, the firms will want to maximize joint profit which would mean the outcome of: (Don't Advertise, Don't Advertise) which has the highest joint profit (= 2600 + 1800).

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