A number of hugely valuable natural resources fall outside of the borders of any nation state. We can legitimately expect political theory to make a contribution to thinking through questions about the future of these extraterritorial resources. However, the debate on the proper allocation of rights over these resources remains relatively embryonic. This paper will bring together what have often been rather scattered discussions of rights over extraterritorial resources. It will first sketch some early modern contributions to thinking through rights (...) over the ocean. It then discusses the guidance available within more contemporary contributions to debates on resources beyond the state. Finally, it concludes by emphasising the key questions with which future work on this topic must engage. (shrink)