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Firm a0 Advertiso (A) Do Not Advertise (DNA $3.150 S4,200 Advertise (A) 100 Firm () $2.100 $3,650 Do Not Advertise (DNA) 3,650 Figure 1: Consider the game where two firms, X and Y, are producing under a duopoly market (a two-firm oligopoly market). Each firm has two options (strategies), either to spend money on an advertisement (Strategy A), or not (Strategy DNA). The expected payoffs in term of dollar profits are shown in Figure 1. a. Does firm X have a dominant strategy in this game? b. Ifexists, what is this dominant strategy for firm Y in this game? If there is no dominant strategy for firm Y then just type N/A c. Is A-A a Nash equilibrium for this game? d. Is DNA-DNA a Nash equilibrium for this game?
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