This article contains two distinct messages. First, when jurisdictions compete in two independent strategic variables, the decision to coordinate on one variable (a tax rate) induces a carry‐over effect on the unconstrained instrument (infrastructure expenditures). Consequently, classical results of the tax coordination literature may be qualified. A second message is that the relative flexibility of the strategic instruments, which may depend on the time horizon of the decision making, does matter. In particular, tax coordination is more likely to be detrimental (in terms of revenue and/or welfare) when countries can compete simultaneously in taxes and infrastructure, rather than sequentially. The reason is that simultaneity eliminates strategic effects between tax and nontax instruments. (JEL H21, H87, H73, F21, C72)