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 consistent with the expected utility theory.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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  1. 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)

  1. Show that D>A>B>C is consistent with expected utility theory and that this preference ordering implies “risk-loving” preferences.
  2. Show that C>B>D>A is consistent with the expected utility theory.
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