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On optimal bidding and inventory control in sequential procurement auctions: the multi period case

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  • Kartikeya Puranam
  • Michael Katehakis

Abstract

We consider the problem of a firm that in each cycle of a planning horizon builds inventory of identical items that it acquires by participating in auctions in order to satisfy its own market demand. The firm’s objective is to have a procurement strategy that maximizes the expected present value of the profit for an infinite planning horizon of identical cycles. We formulate this problem as a Markov decision process. We establish monotonicity properties of the value function and of the optimal bidding rule. Copyright Springer Science+Business Media New York 2014

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  • Kartikeya Puranam & Michael Katehakis, 2014. "On optimal bidding and inventory control in sequential procurement auctions: the multi period case," Annals of Operations Research, Springer, vol. 217(1), pages 447-462, June.
  • Handle: RePEc:spr:annopr:v:217:y:2014:i:1:p:447-462:10.1007/s10479-014-1542-5
    DOI: 10.1007/s10479-014-1542-5
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    1. repec:cup:cbooks:9780511771576 is not listed on IDEAS
    2. Darinka Dentcheva & Andrzej Ruszczyński & Tamás Szántai, 2012. "Stochastic modeling and optimization (in honor of András Prékopa’s 80th birthday)," Annals of Operations Research, Springer, vol. 200(1), pages 1-2, November.
    3. Dirk Bergemann & Maher Said, 2010. "Dynamic Auctions: A Survey," Cowles Foundation Discussion Papers 1757, Cowles Foundation for Research in Economics, Yale University.
    4. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    5. Katehakis, Michael N. & Puranam, Kartikeya S., 2012. "On bidding for a fixed number of items in a sequence of auctions," European Journal of Operational Research, Elsevier, vol. 222(1), pages 76-84.
    6. Anna A. Temu & Alex Winter‐Nelson & Philip Garcia, 2001. "Market Liberalisation, Vertical Integration and Price Behaviour in Tanzania's Coffee Auction," Development Policy Review, Overseas Development Institute, vol. 19(2), pages 205-222, June.
    7. Endre Boros & Lei Lei & Yao Zhao & Hua Zhong, 2008. "Scheduling vessels and container-yard operations with conflicting objectives," Annals of Operations Research, Springer, vol. 161(1), pages 149-170, July.
    8. Michael Katehakis & Laurens Smit, 2012. "On computing optimal (Q,r) replenishment policies under quantity discounts," Annals of Operations Research, Springer, vol. 200(1), pages 279-298, November.
    9. Robert W. Day & S. Raghavan, 2009. "Matrix Bidding in Combinatorial Auctions," Operations Research, INFORMS, vol. 57(4), pages 916-933, August.
    10. Robert W. Day & Peter Cramton, 2012. "Quadratic Core-Selecting Payment Rules for Combinatorial Auctions," Operations Research, INFORMS, vol. 60(3), pages 588-603, June.
    11. Aleksandar Pekev{c} & Michael H. Rothkopf, 2003. "Combinatorial Auction Design," Management Science, INFORMS, vol. 49(11), pages 1485-1503, November.
    12. Apostolos N. Burnetas & Michael N. Katehakis, 1997. "Optimal Adaptive Policies for Markov Decision Processes," Mathematics of Operations Research, INFORMS, vol. 22(1), pages 222-255, February.
    13. Chen, Xi & Ghate, Archis & Tripathi, Arvind, 2011. "Dynamic lot-sizing in sequential online retail auctions," European Journal of Operational Research, Elsevier, vol. 215(1), pages 257-267, November.
    14. Easley,David & Kleinberg,Jon, 2010. "Networks, Crowds, and Markets," Cambridge Books, Cambridge University Press, number 9780521195331, October.
    15. Junmin Shi & Michael Katehakis & Benjamin Melamed, 2013. "Martingale methods for pricing inventory penalties under continuous replenishment and compound renewal demands," Annals of Operations Research, Springer, vol. 208(1), pages 593-612, September.
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    Cited by:

    1. Mabel C. Chou & Chee-Khian Sim & Xue-Ming Yuan, 2020. "Policies for inventory models with product returns forecast from past demands and past sales," Annals of Operations Research, Springer, vol. 288(1), pages 137-180, May.
    2. Qunwei Wang & Cheng Cheng & Dequn Zhou, 2020. "Multi-round auctions in an emissions trading system considering firm bidding strategies and government regulations," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 25(7), pages 1403-1421, October.
    3. Arnoud den Boer & Ohad Perry & Bert Zwart, 2018. "Dynamic pricing policies for an inventory model with random windows of opportunities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(8), pages 660-675, December.
    4. Wang, Chao & Guo, Peijun, 2017. "Behavioral models for first-price sealed-bid auctions with the one-shot decision theory," European Journal of Operational Research, Elsevier, vol. 261(3), pages 994-1000.
    5. Vicky Ching Gu & Bin Zhou & Qing Cao & Jeffery Adams, 2021. "Exploring the relationship between supplier development, big data analytics capability, and firm performance," Annals of Operations Research, Springer, vol. 302(1), pages 151-172, July.

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