Optimal bundle pricing with monotonicity constraint

Authors:
A. Grigoriev;J. Van Loon;M. Sviridenko;M. Uetz;T. Vredeveld
Affiliations:
Maastricht University, Quantitative Economics, P.O. Box 616, 6200 MD Maastricht, The Netherlands;Maastricht University, Quantitative Economics, P.O. Box 616, 6200 MD Maastricht, The Netherlands;IBM T.J. Watson Research Center, P.O. Box 218, Yorktown Heigths, NY 10598, USA;University of Twente, Applied Mathematics, P.O. Box 217, 7500 AE Enschede, The Netherlands;Maastricht University, Quantitative Economics, P.O. Box 616, 6200 MD Maastricht, The Netherlands
Venue:
Operations Research Letters
Year:
2008

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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.