This chapter theorizes that sovereignty is the interplay of two contrasting modalities. In Idealized Sovereignty, sovereign authority is represented exclusively in “the state” per the doctrine of indivisibility developed by early modern theorists and reified in IR theory. In Lived Sovereignty, achieving sovereign competence involves divisible practices of state and nonstate actors in a variety of social relations. We would do a disservice to sovereignty’s complexity if only one of the two modes persevered in analyses of sovereignty. Instead, the chapter intervenes in major IR debates to argue that sovereignty should be hybridized. This overarching framework guides the ideal-types of public/private hybridity developed in the next chapter and the empirical analyses in the remainder of this book, where hybrid sovereignty is necessary to build a global empire, go to war, regulate global markets, and protect rights.