Self Check Answers

1. Layoffs now has a point ratio of ; Name has a point ratio of ; and CEO has a point ratio of . The order of transfer is now CEO, and then Layoffs, and finally Name.
2. Carol takes the house, Bob takes the pension, Carol takes the investments, and Bob is left with the vehicles.
3. No. Instead of taking the pension when choosing second, he could take the investments or the vehicles. If Bob took the investments when choosing second, then he would wind up with the two things he values least. Perhaps, surprisingly, if Bob instead took the pension (his least preferred item) on his second choice, then he would get his most-preferred item (the pension) on his fourth choice. But this is exactly what he had before, and so he is doing no better.
4. If Carol and Ted view as being three-quarters of the total value, then any allocation using , , and unaltered will give one of them a piece they think is of at most one-fourth the total value, and thus it will not be a proportional allocation.
5. Simply replace “one-fourth” everywhere by “one- fifth,” and give the fifth player a chance to trim the piece in the same way that the others do.