Ben has a single-minded goal in life. He will have succeeded in reaching his goal if he receives a payoff of x that's 7 or more, He is allowed to choose between Gamble A: a single coin toss paying...


Ben has a single-minded goal in life. He will have succeeded in reaching his goal if he receives a payoff of x that's 7 or<br>more, He is allowed to choose between Gamble A: a single coin toss paying either 0 or 2a; or Gamble B: the sum of<br>two coin tosses paying either 0 or a. In Gamble B, Ben's payoffs could be 0 if the two coin flips are both tails; a if one<br>flip is heads and the other is tails; or 2a if both flips are heads. Gambles A and B have the same expected value. But A<br>is riskier (more volatile or spread out) than B. Assume that Ben is an expected utility maximizer. State whether Ben<br>maximizes expected utility by choosing risky A or 'less risky B in the two cases where a = 6 and a =8. Choose the best<br>answer describing the choices that Ben will make:<br>O A when a = 6 and A when a = 8<br>O B when a =6 and B when a = 8<br>O A when a = 8 and B when a=6<br>O B when a = 8 and A when a = 6<br>O A when a -6 and indifferent between A and B when a 8<br>O Indifferent between A and B when a 6 and B when a 8<br>

Extracted text: Ben has a single-minded goal in life. He will have succeeded in reaching his goal if he receives a payoff of x that's 7 or more, He is allowed to choose between Gamble A: a single coin toss paying either 0 or 2a; or Gamble B: the sum of two coin tosses paying either 0 or a. In Gamble B, Ben's payoffs could be 0 if the two coin flips are both tails; a if one flip is heads and the other is tails; or 2a if both flips are heads. Gambles A and B have the same expected value. But A is riskier (more volatile or spread out) than B. Assume that Ben is an expected utility maximizer. State whether Ben maximizes expected utility by choosing risky A or 'less risky B in the two cases where a = 6 and a =8. Choose the best answer describing the choices that Ben will make: O A when a = 6 and A when a = 8 O B when a =6 and B when a = 8 O A when a = 8 and B when a=6 O B when a = 8 and A when a = 6 O A when a -6 and indifferent between A and B when a 8 O Indifferent between A and B when a 6 and B when a 8

Jun 08, 2022
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