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Optimal bundle pricing with monotonicity constraint
Authors:A. Grigoriev   J. van Loon   M. Sviridenko   M. Uetz  T. Vredeveld  
Affiliation:aMaastricht University, Quantitative Economics, P.O. Box 616, 6200 MD Maastricht, The Netherlands;bIBM T.J. Watson Research Center, P.O. Box 218, Yorktown Heigths, NY 10598, USA;cUniversity of Twente, Applied Mathematics, P.O. Box 217, 7500 AE Enschede, The Netherlands
Abstract:We consider the problem of pricing (digital) items in order to maximize the revenue obtainable from a set of bidders. We suggest a natural monotonicity constraint on bundle prices, show that the problem remains NP-hard, and we derive a PTAS. We also briefly discuss the highway pricing problem.
Keywords:Bundle pricing   Revenue optimization   Monotonicity   Computational complexity   Approximation algorithm
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