Suppose you must choose between the two prospects, (40,000, 0.025) or (1,000): The prospect of winning 40,000 with a probability of 2.5% or winning 1,000 with certainty.  Suppose, too, that the following three graphs represent your utility function (according to expected utility theory) and your weighting and value scales (according to prospect theory).  Finally, suppose that your current wealth is 20,000.   d. Based on prospect theory, which prospect would you choose? Why? e. Why is your decision different under the two theories? (Hint: what is one of the common human traits that prospect theory captures that expected utility theory cannot?)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose you must choose between the two prospects, (40,000, 0.025) or (1,000): The prospect of winning 40,000 with a probability of 2.5% or winning 1,000 with certainty.  Suppose, too, that the following three graphs represent your utility function (according to expected utility theory) and your weighting and value scales (according to prospect theory).  Finally, suppose that your current wealth is 20,000.

 

d. Based on prospect theory, which prospect would you choose? Why?

e. Why is your decision different under the two theories? (Hint: what is one of the common human traits that prospect theory captures that expected utility theory cannot?)

Weighting Function
1.0
0.75
0.50
0.25
0.12
0.025
0.25
0.50
0.75
1.0
Probability
Value Function
80
70
50
8.
Losses
Gains
-60,000
40.000
-20,000
1000
20.000
40,000
60,000
-10
-20
Decision Weights
Transcribed Image Text:Weighting Function 1.0 0.75 0.50 0.25 0.12 0.025 0.25 0.50 0.75 1.0 Probability Value Function 80 70 50 8. Losses Gains -60,000 40.000 -20,000 1000 20.000 40,000 60,000 -10 -20 Decision Weights
Expected Utility
280
265
200
170
165
100
20,000
60,000
40,000
80,000
21,000
Wealth
Utils
Transcribed Image Text:Expected Utility 280 265 200 170 165 100 20,000 60,000 40,000 80,000 21,000 Wealth Utils
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