“…Our concept of demand types also shows how this condition can be applied. For example, equilibrium-existence results such as those in Sun and Yang (2006), Strulovici (2009), Hatfield, Kominers, Nichifor, Ostrovsky, andWestkamp (2013), and Teytelboym (2014), are easy special cases of the Unimodularity Theorem, but none of these papers present their results as specializations of Danilov et al's earlier work, since the latter's relevance was unclear. (Analyzing preferences in price space-as well as, like Danilov et al, in quantity space-also allows us to develop additional implications.…”