Under which conditions are social relationships hierarchical, and under which conditions are they not? This article has three main aims. First, I will explain what this question amounts to by providing a more detailed description of the general phenomenon of social hierarchy. Second, I will provide an account of what social hierarchy is. Third, I will provide some considerations in favour of this account by discussing how it improves upon three alternative ways of thinking about social hierarchy that are sometimes explicitly endorsed and sometimes suggested or presupposed in writings in philosophy and elsewhere.