Question: Three decision makers have assessed utilities for the problem whose payoff table appears below. S1 S2 S3 D1 500 100 -400 D2 200 150 100
Three decision makers have assessed utilities for the problem whose payoff table appears below.
| S1 | S2 | S3 | |||
| D1 | 500 | 100 | -400 | ||
| D2 | 200 | 150 | 100 | ||
| D3 | -100 | 200 | 300 | ||
| probability | 0.2 | 0.6 | 0.2 | ||
| Indifference Probability for Person | |||||
| Payoff A B C | |||||
| 300 | 0.95 | 0.68 | 0.45 | ||
| 200 | 0.94 | 0.64 | 0.32 | ||
| 150 | 0.91 | 0.62 | 0.28 | ||
| 100 | 0.89 | 0.6 | 0.22 | ||
| -100 | 0.75 | 0.45 | 0.1 | ||
| Requested: | |||||
| a. Plot the utility function for each decision maker. | |||||
| b. Characterize each decision maker's attitude toward risk. | |||||
| c. Which decision will each person prefer? | |||||
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