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Dell and HP must both simultaneously set prices for their new laptops. They can both either choose to set a Low or High price. The payoffs are as follows. If both firms set a Low price, Dell gets 5 and HP 6. If both firms set a High price, the payoffs are 7 to Dell and 8 to HP. If Dell sets a High price and HP chooses Low, the payoffs are 3 to Dell and 10 to HP. If Dell sets a Low price and HP opts for High, the payoffs are 9 to Dell and 1 to HP. Which statement is true?Group of answer choicesEach player has a dominant strategy to choose High; the dominant strategy equilibrium outcome is not a prisoners’ dilemmaIn the outcome of this game HP gets 6None of the other answers are correct.Each player has a dominant strategy to choose High; the dominant strategy equilibrium outcome is a prisoners’ dilemmaIn the outcome of this game Dell gets 7

Question

Dell and HP must both simultaneously set prices for their new laptops. They can both either choose to set a Low or High price. The payoffs are as follows. If both firms set a Low price, Dell gets 5 and HP 6. If both firms set a High price, the payoffs are 7 to Dell and 8 to HP. If Dell sets a High price and HP chooses Low, the payoffs are 3 to Dell and 10 to HP. If Dell sets a Low price and HP opts for High, the payoffs are 9 to Dell and 1 to HP. Which statement is true?Group of answer choicesEach player has a dominant strategy to choose High; the dominant strategy equilibrium outcome is not a prisoners’ dilemmaIn the outcome of this game HP gets 6None of the other answers are correct.Each player has a dominant strategy to choose High; the dominant strategy equilibrium outcome is a prisoners’ dilemmaIn the outcome of this game Dell gets 7

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Solution

The correct answer is: "Each player has a dominant strategy to choose High; the dominant strategy equilibrium outcome is not a prisoners’ dilemma."

Here's a step-by-step explanation:

  1. A dominant strategy is one that provides the highest payoff for a player, no matter what strategies the other players use.

  2. For Dell, if HP sets a Low price, Dell gets a higher payoff by setting a High price (3 > 5). If HP sets a High price, Dell gets a higher payoff by setting a High price (7 > 9). So, Dell's dominant strategy is to set a High price.

  3. For HP, if Dell sets a Low price, HP gets a higher payoff by setting a High price (1 > 6). If Dell sets a High price, HP gets a higher payoff by setting a High price (8 > 10). So, HP's dominant strategy is to set a High price.

  4. Therefore, both Dell and HP have a dominant strategy to set a High price.

  5. However, this is not a prisoners’ dilemma because in a prisoners’ dilemma, the outcome where both players choose their dominant strategy (betrayal in the classic example) is not the best possible outcome for the group. In this case, both players choosing High is not a worse outcome for the group than if one or both chose Low.

  6. So, the correct answer is: "Each player has a dominant strategy to choose High; the dominant strategy equilibrium outcome is not a prisoners’ dilemma."

This problem has been solved

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