A decision maker has to decide between four different alternatives of action (aj to a4). He knows that three different states of the world ($1 to S3) may occur, but he does not know the corresponding probabilities. Assume that the consequences are represented by cardinal utility values, which you will find in the matrix below. Si S2 200 S3 700 ai 400 a2 250 500 03 900 200 -200 450 -100 -100 04 440 Which of the alternatives would the decision maker choose if he would base his decision on 1. the Maximax rule, 2. the Maximin rule, and 3. the Hurwicz rule with = 0.5 ? Fill in the missing values in the table below and determine the alternatives that the decision maker would choose in each case. S1 S2 S3 Maximax ? Maximin Hurwicz ai 400 200 700 a2 250 500 450 a3 200 900 -100 04 -200 440 -100 Applying the Maximax rule, the decision maker would choose alternative bitte auswhlen ---- Applying the Maximin rule, the decision maker would choose alternative bitte auswhlen ---- Applying the Hurwicz rule, the decision maker would choose alternative ---- bitte auswhlen ----V