“…Our main result and its first robustness check are in Section 4. Section C of the Appendix 6 An incomplete list of papers in this literature consists of Matsushima (2008a), Matsushima (2008b), Kartik and Tercieux (2012), Kartik, Tercieux, and Holden (2014), Korpela (2014), Saporiti (2014), Ortner (2015), Dogan (2017), Kimya (2017), Lombardi and Yoshihara (2017), Mukherjee, Muto, and Ramaekers (2017), Lombardi and Yoshihara (2018), Savva (2018), and Lombardi and Yoshihara (2019). See also Dutta (2019) for a survey of recent results in this literature.…”