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FIRMB Advertise (10, 10) 6, 12) FIRMA Advertise Dont advertise Dont advertise (12, 6) (SS) 22. Competing firms A and B are
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Answer #1


If Firm B advertises then Firm A gets payoff of 10 if it advertise and payoff of 6 if it does not advertise.

The payoff for Firm A is higher when it advertise. So, Firm A will advertise when Firm B advertises.

If Firm B does not advertise then Firm A get pay-off of 12 if it advertises and payoff of 5 if it does not advertise.

The payoff for Firm A is higher when it advertise. So, Firm A will advertise when Firm B does not advertise.

It can be seen that Firm A will advertise whatever be the move made by the Firm B.

So, Firm A has dominant strategy of advertise.

If Firm A advertises then Firm b gets payoff of 10 if it advertise and payoff of 6 if it does not advertise.

The payoff for Firm B is higher when it advertise. So, Firm B will advertise when Firm A advertises.

If Firm A does not advertise then Firm B get pay-off of 12 if it advertises and payoff of 5 if it does not advertise.

The payoff for Firm B is higher when it advertise. So, Firm B will advertise when Firm A does not advertise.

It can be seen that Firm B will advertise whatever be the move made by the Firm A.

So, Firm B has dominant strategy of advertise.

When both players have dominant strategy then combination of dominant strategy is the Nash equilibrium.

So,

The single Nash Equilibrium is (Advertise, Advertise).

Hence, the correct answer is the option (A).

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