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Bayesian optimal knapsack procurement

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  • Ensthaler, Ludwig
  • Giebe, Thomas

Abstract

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.

Suggested Citation

  • Ensthaler, Ludwig & Giebe, Thomas, 2014. "Bayesian optimal knapsack procurement," European Journal of Operational Research, Elsevier, vol. 234(3), pages 774-779.
  • Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:774-779
    DOI: 10.1016/j.ejor.2013.09.031
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Moldovanu, Benny & Dizdar, Deniz & Gershkov, Alex, 2011. "Revenue maximization in the dynamic knapsack problem," Theoretical Economics, Econometric Society, vol. 6(2), May.
    4. Baron, David P & Myerson, Roger B, 1982. "Regulating a Monopolist with Unknown Costs," Econometrica, Econometric Society, vol. 50(4), pages 911-930, July.
    5. Tilman Börgers & Peter Norman, 2009. "A note on budget balance under interim participation constraints: the case of independent types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 477-489, June.
    6. 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.
    7. Muratore, Gabriella, 2011. "Incentive based energy market design," European Journal of Operational Research, Elsevier, vol. 213(2), pages 422-429, September.
    8. 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.
    9. Knight, Vincent A. & Harper, Paul R., 2013. "Selfish routing in public services," European Journal of Operational Research, Elsevier, vol. 230(1), pages 122-132.
    10. Fandel, G. & Trockel, J., 2013. "Avoiding non-optimal management decisions by applying a three-person inspection game," European Journal of Operational Research, Elsevier, vol. 226(1), pages 85-93.
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    Cited by:

    1. Jarman, Felix & Meisner, Vincent, 2017. "Ex-post optimal knapsack procurement," Journal of Economic Theory, Elsevier, vol. 171(C), pages 35-63.
    2. Fernández, Arturo J., 2015. "Optimum attributes component test plans for k-out-of-n:F Weibull systems using prior information," European Journal of Operational Research, Elsevier, vol. 240(3), pages 688-696.

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