The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.
States of Nature
Decision
Alternative
$S_1$
$S_2$
$S_3$
$d_1$
260
110
35
$d_2$
110
110
85
(a) Construct a decision tree for this problem.
Decision Tree
Description
$S_1$
$S_2$
$S_3$
$S_1$
$S_2$
$S_3$
(b) If the decision maker knows nothing about the probabilities of the three states of nature, what is the recommended decision using the optimistic, conservative, and minimax regret approaches?
The recommended decision using the optimistic approach is -?--. The recommended decision using the conservative approach is -?- The recommended decision using the minimax regret approach is -?-