Prodigious amounts of data are being collected by internet companies about their users' preferences. We consider the information design problem of how to share this information with traditional companies that, in turn, compete on price by offering personalised discounts to customers. We provide...

We study a setting in which a platform mediates the interactions between firms and consumers. The platform has detailed information on consumers’ preferences and jointly controls the (possibly many-to-many) matching between firms and consumers and the information firms receive about consumer...