We show that a two-sided platform can successfully compete by limiting the choice of po-tential matches it offers to its customers while charging higher prices than platforms with unre-stricted choice. Starting from micro-foundations, we find that increasing the number of potential matches not only has a positive effect due to larger choice, but also a negative effect due to com-petition between agents on the same side. Agents with heterogeneous outside options resolve the trade-off between the two effects differently. For agents with a lower outside option, the compet-itive effect is stronger than the choice effect. Hence, these agents have higher willingness to pay for a platform restricting choice. Agents with a higher outside option pre...