The following payoff matrix describes a duopoly. Firm A chooses a row and Firm B chooses a column; each cell gives payoffs in the order (A, B). Which statements are true?Firm A / Firm B Advertise Do not advertise Advertise (11, 6) (16, 0) Do not advertise (7, 9) (20, 2)
(a) Firm A has no dominant strategy.
(b) Firm B has a dominant strategy.
(c) The game has a Nash equilibrium.
(d) Neither firm has a dominant strategy. Choose the correct code:
(a), (b) and (c)
If B advertises, A prefers advertising (11 > 7); if B does not, A prefers not advertising (20 > 16). Thus A has no dominant strategy. B always prefers advertising (6 > 0 and 9 > 2). Both advertising is the Nash equilibrium, with payoffs (11, 6), so (a), (b) and (c) are true.
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