Question: 6 Consider the four points A, B, C, and D in Figure 16. Assume that more of each attribute is desirable and that a decision

6 Consider the four points A, B, C, and D in Figure 16.

Assume that more of each attribute is desirable and that a decision maker’s utility function exhibits mui. Consider the following two lotteries

L- -2 12 A and L- C a Show that if k3

> 0, then LipL2. b Show that if k < 0, then

poorly. Suppose that Germany will suffer defeat if it performs poorly on either front. If these attributes exhibit mui, what would be the sign of k3?
e General Motors has domestic and international divisions.
Let attribute 1 profits in the domestic division and attribute 2 profits in the international division.
Suppose General Motors is reasonably happy if at least one division has a good year but is very unhappy if both divisions have a bad year. If these attributes exhibit mui, what would be the sign of k3?

L- -2 12 A and L- C a Show that if k3 > 0, then LipL2. b Show that if k < 0, then LpL. 12 12 B D c Show that if the decision maker exhibits additive in- dependence (k = 0), then LiL. d Let attribute 1-performance of Germany on the eastern front near the end of World War II, and attribute 2 = performance of Germany on the western front. A high level of an attribute means that Germany did well, and a low level of an attribute means that Germany did

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