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We explore conditions under which a multiproduct firm can profitably turn itself into a platform by “hosting rivals,” i.e. by inviting rivals to sell products or services on top of its core product. Hosting eliminates the additional shopping costs to consumers of buying a specialist rival’s competing version of the multiproduct firm’s non-core product. On the one hand, this makes it easier for the rival to compete on the non-core product. On the other hand, hosting turns the rival from a pure competitor into a complementor: the value added by its product now helps raise consumer demand for the multi-product firm’s core product. As a result, hosting can be both unilaterally profitable for the multi-product firm and jointly profitable for both firms.