To see why this is the one-play outcome, take the perspective of one player at a time. If Firm 1 knew Firm 2 would Advertise it would earn 50 by choosing Don't Advertise and only 40 by choosing to Advertise, so Don't Avertise pays better, Likewise if it knew Firm 2 would choose Don't Advertise it would choose Don't Advertise for a payoff of 20 rather than 14. The identical reasoning holds for Firm 2.
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