@InProceedings{ashlagi_et_al:LIPIcs.ITCS.2021.46, author = {Ashlagi, Itai and Braverman, Mark and Saberi, Amin and Thomas, Clayton and Zhao, Geng}, title = {{Tiered Random Matching Markets: Rank Is Proportional to Popularity}}, booktitle = {12th Innovations in Theoretical Computer Science Conference (ITCS 2021)}, pages = {46:1--46:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-177-1}, ISSN = {1868-8969}, year = {2021}, volume = {185}, editor = {Lee, James R.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2021.46}, URN = {urn:nbn:de:0030-drops-135851}, doi = {10.4230/LIPIcs.ITCS.2021.46}, annote = {Keywords: Stable matching, stable marriage problem, tiered random markets, deferred acceptance} }