This paper documents five empirical facts about the role of strategic complementarities in firms’ price-setting behavior, using administrative data from Chilean firms. (1) Strategic complementarities play a dominant role in price setting, exerting a stronger influence than changes in marginal costs. (2) While the strength of strategic complementarities varies across sectors, they consistently outweigh the role of cost changes. (3) In high-inflation environments, firms become more responsive to changes in the prices of their competitors. (4) Firms respond more strongly to competitor price increases than to decreases, mirroring the `rockets and feathers' phenomenon of costs. (5) Strategic complementarities are stronger among firms with fewer competitors, larger market shares, and broader customer bases. These findings suggest that strategic complementarities---a source of real rigidities---are sizable, state-dependent, asymmetric, and shaped by market structure.