Consider two lotteries. Lottery A is such that an individual receives a prize of 1.25 units of a consumption good with 50% probability and 0.75 units of the consumption good with 50% probability. Lottery B presents the winner with a prize of 1.5 units of a consumption good with 50% probability and a prize of 0.5 units of the consumption good with 50% probability. For this specific example, which lottery offers higher value (in terms of expected utility) and what is it about the shape of the utility function that yields this result?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Consider two lotteries. Lottery A is such that an individual receives a prize of 1.25 units of a consumption good with 50% probability and 0.75 units of the consumption good with 50% probability. Lottery B presents the winner with a prize of 1.5 units of a consumption good with 50% probability and a prize of 0.5 units of the consumption good with 50% probability.

  1. For this specific example, which lottery offers higher value (in terms of expected utility) and what is it about the shape of the utility function that yields this result?

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