Scenario 12.2: Shari needs a kidney, and her two friends, Jerome and Eliza, are both good potential donors. If Shari gets a kidney, she will live and each of her two friends will get 8,000 units of satisfaction. If Shari does not get a kidney, she will die and each of her friends will get no satisfaction. The cost of donating a kidney totals - 6,000 units of satisfaction.
-Refer to Scenario 12.2. If each player plays an ideal mixed strategy, then both will donate a kidney about ________ of the time.

Question

Quizplus · Accepted Answer

Jerome donates a kidney if and only if he gets 8,000 units of satisfaction from doing so. This will happen if and only if Shari gets a kidney and Eliza does not. The probability of this happening is 1/4. Therefore, Jerome donates a kidney about 1/4 of the time. The same logic applies to Eliza.