Liberal neutrality is assumed to pertain to rival conceptions of the good. The nature of the rivalry between conceptions of the good is pivotal to the coherence, scope and realisation of liberal neutrality. Yet, liberal theorists have said very little about rivalry. This paper attempts to fill this gap by reviewing three conceptions of rivalry: incompatibility rivalry, intra-domain rivalry and state power rivalry. I argue that state power rivalry is the morally relevant conception of rivalry, and that it has significant (...) implications for the scope and realisation of liberal neutrality. I conclude that in the light of state power rivalry, the only feasible liberal neutral state is a very minimal one. (shrink)