Consider the following prospects: A: (0.5, 0, 0.5: $100, $60, $10) B: (0, 0.9, 0.1: $100, $60, $10) C: (0.2, 0.5, 0.3:$100, $60, $10) D: (0.4, 0.2, 0.4:$100, $60, $10) Show that D > A > B > C is consistent with expected utility theory, and that this preference ordering implies "risk loving" preferences. Show that C > B > D > A is inconsistent with expected utility theory. (a) (b)

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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Consider the following prospects:
A: (0.5, 0, 0.5: $100, $60, $10)
B: (0, 0.9, 0.1: $100, $60, $10)
C: (0.2, 0.5, 0.3:$100, $60, $10)
D: (0.4, 0.2, 0.4:$100, $60, $10)
(a)
Show that D> A > B > C is consistent with expected utility theory, and that this
preference ordering implies "risk loving" preferences.
Show that C> B > D > A is inconsistent with expected utility theory.
(b)
Transcribed Image Text:Consider the following prospects: A: (0.5, 0, 0.5: $100, $60, $10) B: (0, 0.9, 0.1: $100, $60, $10) C: (0.2, 0.5, 0.3:$100, $60, $10) D: (0.4, 0.2, 0.4:$100, $60, $10) (a) Show that D> A > B > C is consistent with expected utility theory, and that this preference ordering implies "risk loving" preferences. Show that C> B > D > A is inconsistent with expected utility theory. (b)
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