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Bayesian optimal knapsack procurement

  • Ensthaler, Ludwig
  • Giebe, Thomas

A budget-constrained buyer wants to purchase items from a shortlisted set. Items are differentiated by observable quality and sellers have private reserve prices for their items. The buyer’s problem is to select a subset of maximal quality. Money does not enter the buyer’s objective function, but only his constraints. Sellers quote prices strategically, inducing a knapsack game. We report the Bayesian optimal mechanism for the buyer’s problem. We find that simultaneous take-it-or-leave-it offers are interim optimal.

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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 234 (2014)
Issue (Month): 3 ()
Pages: 774-779

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Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:774-779
Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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  1. Muratore, Gabriella, 2011. "Incentive based energy market design," European Journal of Operational Research, Elsevier, vol. 213(2), pages 422-429, September.
  2. Oliveira, Fernando S. & Ruiz, Carlos & Conejo, Antonio J., 2013. "Contract design and supply chain coordination in the electricity industry," European Journal of Operational Research, Elsevier, vol. 227(3), pages 527-537.
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  5. Dasu, Sriram & Tong, Chunyang, 2010. "Dynamic pricing when consumers are strategic: Analysis of posted and contingent pricing schemes," European Journal of Operational Research, Elsevier, vol. 204(3), pages 662-671, August.
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  7. Knight, Vincent A. & Harper, Paul R., 2013. "Selfish routing in public services," European Journal of Operational Research, Elsevier, vol. 230(1), pages 122-132.
  8. Giebe, Thomas & Grebe, Tim & Wolfstetter, Elmar, 2006. "How to allocate R&D (and other) subsidies: An experimentally tested policy recommendation," Research Policy, Elsevier, vol. 35(9), pages 1261-1272, November.
  9. Deniz Dizdar & Alex Gershkov & Benny Moldovanu, 2010. "Revenue Maximization in the Dynamic Knapsack Problem," Discussion Paper Series dp544, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  10. Xia, Mu & Koehler, Gary J. & Whinston, Andrew B., 2004. "Pricing combinatorial auctions," European Journal of Operational Research, Elsevier, vol. 154(1), pages 251-270, April.
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