Suppose you are a contestant of a new game show called "RoBox". The rules are the following: 1. There are a total of b boxes. 2. One box is doomed, whereas the remaining b - 1 boxes are safe. 3. Each safe box contains $0 in it. 4 4. You can collect as many (integer) boxes as you like (up to b boxes), but, of course, you don't know which box is doomed. 5. After making your decision, you must open all the boxes that you have collected. 6. If you open the doomed box, you win nothing in the game. On the other hand, if all of the collected boxes are safe, you win $0 per collected box. Your utility function over wealth (i.e., your reward in the game) is "(W) = WY where 0