Very cool stuff. In the real world, I would expect this to work best in fresh situations where nobody has an entrenched stake in whatever portion of the split they already have. For example, I might be willing to pay more for a larger room, but would I really do so if I felt bad about taking that room away from my friend? Not sure if the model accounts for such non-financial considerations that bleed into the financial. Maybe the authors will correct my misconceptions if they're here.
This work deserves more visibility than it's getting imho. Still I'm not sure how to use it in my own life.