The Braess’s paradox, also called Braess paradox, in transportation networks states that adding extra capacity to a network, when moving entities with incomplete information selfishly choose their routes, can in some cases reduce the overall network performance. In this paper, we observe a similar phenomenon in wireless networks. More specifically, we consider a single-cell system with two different types of access points, one of them with a fixed rate and one of them with a variable rate, i.e., a rate that depends on the number of users connected to that access point.We observe that, under certain conditions, the intersystem connection between these two types of access points does not necessarily improve the overall system performance.