“…This paper is related to a small strand of the literature that considers optimal taxation in the presence of involuntary unemployment. These studies consider different sources of unemployment, ranging from minimum wages (e.g., Allen, 1987;Guesnerie and Roberts, 1987;Marceau and Boadway, 1994;Boadway and Cuff, 2001;Lee and Saez, 2012;Gerritsen and Jacobs, 2015), to union-set wages (e.g., Sørensen, 1999;Aronsson and Sjögren, 2004;Hummel and Jacobs, 2016), to downward rigid wage floors (e.g., Landais, Michaillat, and Saez, 2013;Kroft et al, 2015). Most of these studies consider identical agents so that the efficiency of labor rationing plays no role of significance.…”