Can someone explain why the outcomes differ when the roommates are in a different order? Imagine an apartment with one nice room and one terrible room, total rent $1000, and two roommates, one rich, one poor. The poor roommate will always chose the less expensive room, the rich roommate will always chose the nice room unless the price difference is greater than $500.
If the rich roommate is Roommate A, then it converges to a 50/50 split, each paying $500. If the rich roommate is Roommate B, it converges to a 75/25 split, with the rich roommate paying $750. What's going on there?
[EDIT: Also, I've just discovered with three roommates that the results may be displayed without the first roommate ever choosing at all. ???]
If the rich roommate is Roommate A, then it converges to a 50/50 split, each paying $500. If the rich roommate is Roommate B, it converges to a 75/25 split, with the rich roommate paying $750. What's going on there?
[EDIT: Also, I've just discovered with three roommates that the results may be displayed without the first roommate ever choosing at all. ???]