Problem 4. Ann's risk preference is represented by the following expected utility formula: U(T, C₁; 1-T, C₂) = π (c₁)" + (1-x) (₂)". = Consider the following lotteries: L₁= (0.8, $100; 0.2, $0), L2 (0.6, $140; 0.4, $0), L3 = (0.4, $200; 0.6, $0), and L3= (0.5, $150; 0.5, $0). Suppose Ann strictly prefers L₁ over L₂ and she also strictly prefers L, over L₁. Find all possible a that are consistent with Ann's preferences.

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Problem 4. Ann's risk preference is represented by the following expected utility formula:
U(T, C₁; 1-T, C₂) = π (C₁)" + (1-7) (C₂)".
=
Consider the following lotteries: L₁ = (0.8, $100; 0.2, $0), L2 (0.6, $140; 0.4, $0), L3=
(0.4, $200; 0.6, $0), and L3= (0.5, $150; 0.5, $0). Suppose Ann strictly prefers L₁ over L₂
and she also strictly prefers La over L₁. Find all possible a that are consistent with Ann's
preferences.
Transcribed Image Text:Problem 4. Ann's risk preference is represented by the following expected utility formula: U(T, C₁; 1-T, C₂) = π (C₁)" + (1-7) (C₂)". = Consider the following lotteries: L₁ = (0.8, $100; 0.2, $0), L2 (0.6, $140; 0.4, $0), L3= (0.4, $200; 0.6, $0), and L3= (0.5, $150; 0.5, $0). Suppose Ann strictly prefers L₁ over L₂ and she also strictly prefers La over L₁. Find all possible a that are consistent with Ann's preferences.
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