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This paper analyzes the effects of tying on market competition and social welfare in two-sided markets when economic agents can engage in multi-homing by participating in multiple platforms to reap maximal network benefits. The model shows that tying induces more consumers to multi-home and makes platform-specific exclusive content available to more consumers, which is beneficial to content providers. As a result, tying can be welfare-enhancing if multi-homing is allowed, even in cases where its welfare impacts are negative in the absence of multi-homing. The analysis thus can have important implications for recent antitrust cases in industries where multi-homing is prevalent.