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« Oh My God They Were Roommates: Achieving Envy-Free Rent Division

Oh My God They Were Roommates: Achieving Envy-Free Rent Division

March 23, 2022, 12:15 PM - 1:15 PM

Location:

Mathematics Graduate Student Lounge -- 7th Floor

Rutgers University

Hill Center

Mathematics Department

110 Frelinghuysen Road

Piscataway, NJ 08854

Hannah Hasan, Rutgers University

Given a 3-bedroom apartment, is it possible to find a rent distribution so that all 3 roommates get their first-choice room? This problem can be solved by coloring triangles and using a proof from "The Book." If you know what triangles and colors are, you are well equipped for this talk!