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We consider the problem of maximizing revenue when selling k items to asingle buyer with known valuation distributions. We show that for a single,additive buyer whose valuations for for the items are distributed according toi.i.d. distributions which are known to the seller, the ratio of revenue fromselling in a bundle to selling separately is at least 55.9% and this gap isattainable.

A Note on the Ratio of Revenues Between Selling in a Bundle and Separately