In: Statistics and Probability
An individual makes decisions according to Bayes’ decision rule. For her current problem, she has constructed the following payoff table, and she now wishes to maximize the expected payoff.
Alternative |
State of Nature q1 q2 q3 |
a1 |
3x 40 10 |
a2 |
35 50 90 |
a3 |
25 2x 30 |
Prior probability |
0.2 0.5 0.3 |
The value of x currently is 50, but there is an opportunity to increase x by spending some money now. What is the maximum amount that should be spent to increase x to 75?