Consider the following pairs of gambles: A : 90% chance of $3,000 10% chance of $0 versus

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Consider the following pairs of gambles:

A :

90% chance of $3,000 10% chance of $0 versus B :

45% chance of $6,000 55% chance of $0 C :

0.2% chance of $3,000 99.8% chance of $0 versus D :

0.1% chance of $6,000 99.9% chance of $0 .

Show that an expected utility maximizer who prefers A to B must also prefer C to D. Note: The preferences A B and D C are common. This example is due to Kahneman and Tversky (1979).

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