According to intentionalism, the semantic reference of the uses of demonstratives is fixed, at least partly, by the speaker’s referential intention. In this paper, I argue against the possibility of the existence of a semantic convention of this sort. My argument is placed in the Lewisian framework of signaling games and consists of several steps that correspond to four anti-intentionalist arguments, already present in the literature, that have proven inconclusive when employed separately and without being set in the mentioned framework.