Splitting Rent Fairly – Rental Harmony: Sperner's Lemma in Fair Division [pdf] (math.hmc.edu)

If you're looking for an alternate read to a math paper, checkout the NYTimes article titled "To Divide the Rent, Start With a Triangle"[1] or the online implementation of the algorithm[2].

[1]: https://www.nytimes.com/2014/04/29/science/to-divide-the-ren...

[2]: https://www.nytimes.com/interactive/2014/science/rent-divisi...