>>> doesn't matter how many players there are. suppose there's one ice cream guy. where is he going to put his ice cream hut? in the center. let's say another one shows up. where is he going to put his hut? in the center. the logic repeats.
No it doesn't. With three sellers in the center, the one in the middle is close to very little people. He's in the worst possible spot and he'd better move anywhere else. So that's no longer a stable layout.