“…There is a large literature on market design under various classes of distributional constraints such as minimum guarantee reserves (or lower quotas), upper quotas, and regional quotas. A partial list includes Abdulkadiroglu (2005), Biro, Fleiner, Irving, and Manlove (2010), Kojima (2012), Budish, Che, Kojima, and Milgrom (2013), Hafalir, Yenmez, and Yildirim (2013), Westkamp (2013), Ehlers, Hafalir, Yenmez, and Yildirim (2014), Echenique and Yenmez (2015), Kamada and Kojima (2015), Kamada and Kojima (2017) Kamada and Kojima (2018), Aygün and Turhan (2016), Aygün and Bo (2016), Bo (2016), Dogan (2016), Kominers and Sonmez (2016), and Fragiadakis and Troyan (2017).…”