group consisting of anne, bert, carl, and diana is about to select one out of five possible alternatives, a, b, c, d, e. the true utilities of the four individuals for the five alternatives are as follows:
a) U(6) UC) Ud) U(e) Anne 0.9 0.8 0.6 0.5 0.4 Bert 0.6 1.0 0.5 0.3 0.4 Carl 0.4 0.3 0.7 0.9 0.2 Diana 0.7 0.6 0.5 0.2 0.1 Which alternative will be selected if the following decision making methods are used: (i) the decision is based on the traditional voting procedure (each voter gets one vote). (ii) each person is asked for their top two choices, and the alternative that is chosen by the maximum number of people is selected. (iii) the group uses the Borda count with 5 points for the most preferred alternative, and 1 point for the least preferred alternative. (iv) the group follows a dot-voting scheme, where each person gets 10 "dots", and they assign the number of dots to each alternative that are roughly proportional to their Utility. (v) the group uses the "maximin rule" which prescribes that the group should prefer the alternative in which the worse-off person is as well-off as possible.
(vi) the sum of individual utilities is maximized for the group. Discuss the pros and cons of the group decision making methods listed above.