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  1. Consumer "multi-homing" (watching two TV channels, or buying two news magazines) has surprisingly important effects on market equilibrium and performance in (two-sided) media markets. We show this by introducing consumer multi-homing and advertising-finance into the classic circle model of product differentiation. When consumers multi-home (attend more than one platform), media platforms can charge only incremental-value prices to advertisers. Entry or merger leaves consumer prices unchanged under consumer multi-homing, but leaves advertiser prices unchanged under single-homing: multi-homing flips the side of the market on which platforms compete. In contrast to standard circle results, equilibrium product variety can be insufficient under multi-homing. 
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