2000 character limit reached
The Complexity of Optimal Multidimensional Pricing (1311.2138v1)
Published 9 Nov 2013 in cs.GT and cs.CC
Abstract: We resolve the complexity of revenue-optimal deterministic auctions in the unit-demand single-buyer Bayesian setting, i.e., the optimal item pricing problem, when the buyer's values for the items are independent. We show that the problem of computing a revenue-optimal pricing can be solved in polynomial time for distributions of support size 2, and its decision version is NP-complete for distributions of support size 3. We also show that the problem remains NP-complete for the case of identical distributions.