“…Specifically, the multiplicity of robust equilibria disappears. 4 In recognizing that agents take conscious efforts to improve their matching-related outcomes, our model is related to a literature on pre-match investment (e.g., Nöldeke and Samuelson 2014;Mailath, Postlewaite, and Samuelson 2013a;Mailath, Postlewaite, and Samuelson 2013b;Hatfield, Kojima, and Kominers 2014;Peters and Siow 2002;Cole, Mailath, and Postlewaite 2001;Iyigun and Walsh 2007;Zhang 1994;Anderson and Bidner 2015;Gall, Legros, and Newman 2012;Gall, Legros, and Newman 2006;Booth and Coles 2010;and Felli and Roberts 2002). The feature that investment facilitates assortative matching on types makes the analysis particularly related to the smaller literature on pre-match investment with imperfect information (Hopkins 2012;Hoppe, Moldovanu, and Sela 2009;Bidner 2010;and Bidner 2014).…”