Path dependence is commonly used to describe processes where “history matters,” which encompasses many different kinds of temporal dynamics. This essay distinguishes path-, or equilibrium-, dependent processes where early conditions continue to matter, from outcome-dependent processes where recent history matters and from outcome-independent processes where history does not matter. Others have argued for a precise and restrictive definition of path dependence. We build on this and distinguish among different types of outcome-dependent processes when these conditions for path dependence are not fully satisfied.