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A vertically integrated provider (VIP) initially has a duty to deal with a rival at unregulated upstream and downstream prices in a Bertrand-Nash framework. The duty to deal is subsequently terminated which enables the VIP to acquire the rival and serve as a two-product, downstream monopolist. We find that the refusal to deal is efficiency-enhancing, given that prices decrease while profits increase  ex post .

A Note on the Efficiency Gains from a Refusal to Deal in a Bertrand-Nash Framework