Consider a game in which Myer and DJs simultaneously choose whether to advertise (ADV) or not advertise (NOT). If both firms adopt NOT, the payoffs are (6, 10) to Myer and DJs, respectively. If both firms choose ADV, the payoffs are (5, 6). If Myer plays ADV and DJs NOT, the payoffs are (8, 5). Finally, if Myer plays NOT and DJs ADV the payoffs are (4, 12). Which statement is true?Group of answer choicesThe Nash equilibrium is (NOT, NOT); this game is a prisoners’ dilemma.The Nash equilibrium is (ADV, NOT); this game is a prisoners’ dilemma.The Nash equilibrium is (ADV, ADV); this game is a prisoners’ dilemma.The Nash equilibrium is (NOT, ADV); this game is a prisoners’ dilemma.The Nash equilibrium is (ADV, ADV); this game is not a prisoners’ dilemma.
Question
Consider a game in which Myer and DJs simultaneously choose whether to advertise (ADV) or not advertise (NOT). If both firms adopt NOT, the payoffs are (6, 10) to Myer and DJs, respectively. If both firms choose ADV, the payoffs are (5, 6). If Myer plays ADV and DJs NOT, the payoffs are (8, 5). Finally, if Myer plays NOT and DJs ADV the payoffs are (4, 12). Which statement is true?Group of answer choicesThe Nash equilibrium is (NOT, NOT); this game is a prisoners’ dilemma.The Nash equilibrium is (ADV, NOT); this game is a prisoners’ dilemma.The Nash equilibrium is (ADV, ADV); this game is a prisoners’ dilemma.The Nash equilibrium is (NOT, ADV); this game is a prisoners’ dilemma.The Nash equilibrium is (ADV, ADV); this game is not a prisoners’ dilemma.
Solution
Let's analyze each statement:
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The Nash equilibrium is (NOT, NOT); this game is a prisoners’ dilemma: A Nash equilibrium is a set of strategies where no player can improve their payoff by unilaterally changing their strategy. If Myer chooses NOT and DJs chooses NOT, neither player would want to change their strategy given what the other player is doing. So, this is a Nash equilibrium. However, this game is not a prisoners’ dilemma because in a prisoners’ dilemma, each player has a dominant strategy that leads to an outcome that is worse for both players than if they both played their dominated strategies. Here, neither player has a dominant strategy.
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The Nash equilibrium is (ADV, NOT); this game is a prisoners’ dilemma: If Myer chooses ADV and DJs chooses NOT, Myer would want to switch to NOT (because 6 > 5) and DJs would want to switch to ADV (because 12 > 10). So, this is not a Nash equilibrium.
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The Nash equilibrium is (ADV, ADV); this game is a prisoners’ dilemma: If Myer chooses ADV and DJs chooses ADV, Myer would want to switch to NOT (because 6 > 5) and DJs would want to switch to NOT (because 10 > 6). So, this is not a Nash equilibrium.
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The Nash equilibrium is (NOT, ADV); this game is a prisoners’ dilemma: If Myer chooses NOT and DJs chooses ADV, Myer would want to switch to ADV (because 8 > 6) and DJs would want to switch to NOT (because 10 > 12). So, this is not a Nash equilibrium.
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The Nash equilibrium is (ADV, ADV); this game is not a prisoners’ dilemma: As mentioned above, (ADV, ADV) is not a Nash equilibrium.
So, the only true statement is: "The Nash equilibrium is (NOT, NOT); this game is a prisoners’ dilemma."
Similar Questions
Consider a game in which Myer and DJs simultaneously choose whether to advertise (ADV) or not advertise (NOT). If both firms opt to ADV, the payoffs are 10 to Myer and 7 to DJs. If both firms choose NOT, the payoffs are (5,8) where the first payoff is Myer’s and the second DJs’. If Myer plays NOT and DJs ADV, the payoffs are (20, 6). Finally, if Myer plays ADV and DJs Not, the payoffs are (15, 12), respectively. Which statement is (most) true?Group of answer choicesDJs has a dominant strategy.Myer does not have a dominant strategy.Myer’s best response to a strategy of ADV by DJs is to play NOT.The Nash equilibrium is (ADV, NOT), for Myer and DJs respectively.All of the above statements are true.
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