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A celebrity must choose between staying home (H) where the papparazzi can’t take photos of her and going to the park (P) where they can. After she makes her decision, the paparazzi chooses between not working (NW) and working (W). If the celebrity stays at home and the paparazzi don’t work the payoff is (10,10) for the celebrity and paparazzi respectively. If the celebrity stays home and the paparazzi works, the payoff is (10,5). If the celebrity goes to the park and the paparazzi works, the payoff is (5,20). If the celebrity goes to the park and the paparazzi does not work, the payoffs are (20,10). Which of the following is true if the paparazzi is offered the chance to be the first mover?Group of answer choicesThe paparazzi prefers to be the second mover.The paparazzi would prefer to be the first moverThe paparazzi is indifferent between being the first mover and the second moverThere is not enough information to tell

Question

A celebrity must choose between staying home (H) where the papparazzi can’t take photos of her and going to the park (P) where they can. After she makes her decision, the paparazzi chooses between not working (NW) and working (W). If the celebrity stays at home and the paparazzi don’t work the payoff is (10,10) for the celebrity and paparazzi respectively. If the celebrity stays home and the paparazzi works, the payoff is (10,5). If the celebrity goes to the park and the paparazzi works, the payoff is (5,20). If the celebrity goes to the park and the paparazzi does not work, the payoffs are (20,10). Which of the following is true if the paparazzi is offered the chance to be the first mover?Group of answer choicesThe paparazzi prefers to be the second mover.The paparazzi would prefer to be the first moverThe paparazzi is indifferent between being the first mover and the second moverThere is not enough information to tell

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Solution

The paparazzi would prefer to be the first mover.

Here's why:

If the paparazzi moves first and chooses to work, the celebrity will choose to stay home, resulting in a payoff of (10,5). If the paparazzi chooses not to work, the celebrity will go to the park, resulting in a payoff of (20,10).

In both cases, the paparazzi's payoff is higher when they move first (5 or 10) compared to when they move second (10 or 20). Therefore, the paparazzi would prefer to be the first mover.

This problem has been solved

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