As long as I stay in this building, I don't need to pay for rent or food--and I don't intend to go anywhere, for now. Who am I to refuse such hospitality?

[Is it taking advantage of a charitable offer? Oh, shamelessly. But if they have the money to run this kind of interdimensional kidnapping business, then he doesn't feel even the slightest bit of remorse over letting them bankroll an extra household. If they bankrupt themselves trying to support their captives, and can't sustain their own operations, so much the better!]