IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v67y2021i8p4880-4907.html
   My bibliography  Save this article

Strategic Timing and Dynamic Pricing for Online Resource Allocation

Author

Listed:
  • Vibhanshu Abhishek

    (Paul Merage School of Business, University of California at Irvine, Irvine, California 92697)

  • Mustafa Dogan

    (MIT Sloan School of Management, Cambridge, Massachusetts 02142)

  • Alexandre Jacquillat

    (MIT Sloan School of Management, Cambridge, Massachusetts 02142)

Abstract

This paper optimizes dynamic pricing and real-time resource allocation policies for a platform facing nontransferable capacity, stochastic demand-capacity imbalances, and strategic customers with heterogenous price and time sensitivities. We characterize the optimal mechanism, which specifies a dynamic menu of prices and allocations. Service timing and pricing are used strategically to: (i) dynamically manage demand-capacity imbalances, and (ii) provide discriminated service levels. The balance between these two objectives depends on customer heterogeneity and customers’ time sensitivities. The optimal policy may feature strategic idlenexss (deliberately rejecting incoming requests for discrimination), late service prioritization (clearing the queue of delayed customers), and deliberate late-service rejection (focusing on incoming demand by rationing capacity for delayed customers). Surprisingly, the price charged to time-sensitive customers is not increasing with demand—high demand may trigger lower prices. By dynamically adjusting a menu of prices and service levels, the optimal mechanism increases profits significantly, as compared with dynamic pricing and static screening benchmarks. We also suggest a less information-intensive mechanism that is history-independent but fine-tunes the menu with incoming demand; this easier-to-implement mechanism yields close-to-optimal outcomes.

Suggested Citation

  • Vibhanshu Abhishek & Mustafa Dogan & Alexandre Jacquillat, 2021. "Strategic Timing and Dynamic Pricing for Online Resource Allocation," Management Science, INFORMS, vol. 67(8), pages 4880-4907, August.
  • Handle: RePEc:inm:ormnsc:v:67:y:2021:i:8:p:4880-4907
    DOI: 10.1287/mnsc.2020.3756
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.2020.3756
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.2020.3756?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Linda Green, 2006. "Queueing Analysis in Healthcare," International Series in Operations Research & Management Science, in: Randolph W. Hall (ed.), Patient Flow: Reducing Delay in Healthcare Delivery, chapter 0, pages 281-307, Springer.
    2. Qian Liu & Garrett J. van Ryzin, 2008. "Strategic Capacity Rationing to Induce Early Purchases," Management Science, INFORMS, vol. 54(6), pages 1115-1131, June.
    3. Philipp Afèche & Haim Mendelson, 2004. "Pricing and Priority Auctions in Queueing Systems with a Generalized Delay Cost Structure," Management Science, INFORMS, vol. 50(7), pages 869-882, July.
    4. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
    5. Haim Mendelson & Seungjin Whang, 1990. "Optimal Incentive-Compatible Priority Pricing for the M/M/1 Queue," Operations Research, INFORMS, vol. 38(5), pages 870-883, October.
    6. Constantinos Maglaras, 2006. "Revenue Management for a Multiclass Single-Server Queue via a Fluid Model Analysis," Operations Research, INFORMS, vol. 54(5), pages 914-932, October.
    7. John Conlisk & Eitan Gerstner & Joel Sobel, 1984. "Cyclic Pricing by a Durable Goods Monopolist," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(3), pages 489-505.
    8. Xuanming Su, 2007. "Intertemporal Pricing with Strategic Customer Behavior," Management Science, INFORMS, vol. 53(5), pages 726-741, May.
    9. Sabri Çelik & Costis Maglaras, 2008. "Dynamic Pricing and Lead-Time Quotation for a Multiclass Make-to-Order Queue," Management Science, INFORMS, vol. 54(6), pages 1132-1146, June.
    10. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    11. Constantinos Maglaras & Assaf Zeevi, 2005. "Pricing and Design of Differentiated Services: Approximate Analysis and Structural Insights," Operations Research, INFORMS, vol. 53(2), pages 242-262, April.
    12. Omar Besbes & Costis Maglaras, 2009. "Revenue Optimization for a Make-to-Order Queue in an Uncertain Market Environment," Operations Research, INFORMS, vol. 57(6), pages 1438-1450, December.
    13. Omar Besbes & Ilan Lobel, 2015. "Intertemporal Price Discrimination: Structure and Computation of Optimal Policies," Management Science, INFORMS, vol. 61(1), pages 92-110, January.
    14. Erica L. Plambeck, 2004. "Optimal Leadtime Differentiation via Diffusion Approximations," Operations Research, INFORMS, vol. 52(2), pages 213-228, April.
    15. Mustafa Akan & Barı ş Ata & Tava Olsen, 2012. "Congestion-Based Lead-Time Quotation for Heterogenous Customers with Convex-Concave Delay Costs: Optimality of a Cost-Balancing Policy Based on Convex Hull Functions," Operations Research, INFORMS, vol. 60(6), pages 1505-1519, December.
    16. Sobel, Joel, 1991. "Durable Goods Monopoly with Entry of New Consumers," Econometrica, Econometric Society, vol. 59(5), pages 1455-1485, September.
    17. Yossi Aviv & Amit Pazgal, 2008. "Optimal Pricing of Seasonal Products in the Presence of Forward-Looking Consumers," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 339-359, December.
    18. David W. Low, 1974. "Optimal Dynamic Pricing Policies for an M / M / s Queue," Operations Research, INFORMS, vol. 22(3), pages 545-561, June.
    19. Simon Board, 2008. "Durable-Goods Monopoly with Varying Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 391-413.
    20. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    21. Jérémie Gallien, 2006. "Dynamic Mechanism Design for Online Commerce," Operations Research, INFORMS, vol. 54(2), pages 291-310, April.
    22. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    23. Christian Borgs & Ozan Candogan & Jennifer Chayes & Ilan Lobel & Hamid Nazerzadeh, 2014. "Optimal Multiperiod Pricing with Service Guarantees," Management Science, INFORMS, vol. 60(7), pages 1792-1811, July.
    24. Simon Board & Andrzej Skrzypacz, 2016. "Revenue Management with Forward-Looking Buyers," Journal of Political Economy, University of Chicago Press, vol. 124(4), pages 1046-1087.
    25. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    26. Phillip J. Lederer & Lode Li, 1997. "Pricing, Production, Scheduling, and Delivery-Time Competition," Operations Research, INFORMS, vol. 45(3), pages 407-420, June.
    27. Gustavo Vulcano & Garrett van Ryzin & Costis Maglaras, 2002. "Optimal Dynamic Auctions for Revenue Management," Management Science, INFORMS, vol. 48(11), pages 1388-1407, November.
    28. Hyun-soo Ahn & Mehmet Gümüş & Philip Kaminsky, 2007. "Pricing and Manufacturing Decisions When Demand Is a Function of Prices in Multiple Periods," Operations Research, INFORMS, vol. 55(6), pages 1039-1057, December.
    29. Negin Golrezaei & Hamid Nazerzadeh & Ramandeep Randhawa, 2020. "Dynamic Pricing for Heterogeneous Time-Sensitive Customers," Manufacturing & Service Operations Management, INFORMS, vol. 22(3), pages 562-581, May.
    30. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    31. Mallesh M. Pai & Rakesh Vohra, 2013. "Optimal Dynamic Auctions and Simple Index Rules," Mathematics of Operations Research, INFORMS, vol. 38(4), pages 682-697, November.
    32. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yiwei Chen & Vivek F. Farias & Nikolaos Trichakis, 2019. "On the Efficacy of Static Prices for Revenue Management in the Face of Strategic Customers," Management Science, INFORMS, vol. 65(12), pages 5535-5555, December.
    2. Negin Golrezaei & Hamid Nazerzadeh & Ramandeep Randhawa, 2020. "Dynamic Pricing for Heterogeneous Time-Sensitive Customers," Manufacturing & Service Operations Management, INFORMS, vol. 22(3), pages 562-581, May.
    3. René Caldentey & Ying Liu & Ilan Lobel, 2017. "Intertemporal Pricing Under Minimax Regret," Operations Research, INFORMS, vol. 65(1), pages 104-129, February.
    4. Yiwei Chen & Vivek F. Farias, 2018. "Robust Dynamic Pricing with Strategic Customers," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1119-1142, November.
    5. René Caldentey & Ying Liu & Ilan Lobel, 2017. "Intertemporal Pricing Under Minimax Regret," Operations Research, INFORMS, vol. 65(1), pages 104-129, February.
    6. Philipp Afèche, 2013. "Incentive-Compatible Revenue Management in Queueing Systems: Optimal Strategic Delay," Manufacturing & Service Operations Management, INFORMS, vol. 15(3), pages 423-443, July.
    7. Omar Besbes & Ilan Lobel, 2015. "Intertemporal Price Discrimination: Structure and Computation of Optimal Policies," Management Science, INFORMS, vol. 61(1), pages 92-110, January.
    8. Christian Borgs & Ozan Candogan & Jennifer Chayes & Ilan Lobel & Hamid Nazerzadeh, 2014. "Optimal Multiperiod Pricing with Service Guarantees," Management Science, INFORMS, vol. 60(7), pages 1792-1811, July.
    9. Yiwei Chen & Ming Hu, 2020. "Pricing and Matching with Forward-Looking Buyers and Sellers," Manufacturing & Service Operations Management, INFORMS, vol. 22(4), pages 717-734, July.
    10. Alex Gershkov & Benny Moldovanu & Philipp Strack, 2018. "Revenue-Maximizing Mechanisms with Strategic Customers and Unknown, Markovian Demand," Management Science, INFORMS, vol. 64(5), pages 2031-2046, May.
    11. Philipp Afèche & J. Michael Pavlin, 2016. "Optimal Price/Lead-Time Menus for Queues with Customer Choice: Segmentation, Pooling, and Strategic Delay," Management Science, INFORMS, vol. 62(8), pages 2412-2436, August.
    12. Yiwei Chen & Nikolaos Trichakis, 2021. "Technical Note—On Revenue Management with Strategic Customers Choosing When and What to Buy," Operations Research, INFORMS, vol. 69(1), pages 175-187, January.
    13. Seres, Gyula, 2019. "Uncertain Commitment Power in a Durable Good Monopoly," Other publications TiSEM bece5078-67ec-458b-807c-3, Tilburg University, School of Economics and Management.
    14. Jean‐Charles Rochet & John Thanassoulis, 2019. "Intertemporal price discrimination with two products," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 951-973, December.
    15. Ken Moon & Kostas Bimpikis & Haim Mendelson, 2018. "Randomized Markdowns and Online Monitoring," Management Science, INFORMS, vol. 64(3), pages 1271-1290, March.
    16. Philipp Afèche & Opher Baron & Yoav Kerner, 2013. "Pricing Time-Sensitive Services Based on Realized Performance," Manufacturing & Service Operations Management, INFORMS, vol. 15(3), pages 492-506, July.
    17. Ying‐Ju Chen & Leon Yang Chu, 2020. "Synchronizing pricing and replenishment to serve forward‐looking customers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(5), pages 321-333, August.
    18. Tian Xia & Richard Sexton, 2010. "Brand or Variety Choices and Periodic Sales as Substitute Instruments for Monopoly Price Discrimination," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 36(4), pages 333-349, June.
    19. Bergemann, Dirk & Strack, Philipp, 2022. "Progressive participation," Theoretical Economics, Econometric Society, vol. 17(3), July.
    20. Hinnosaar, Toomas, 2017. "Calendar mechanisms," Games and Economic Behavior, Elsevier, vol. 104(C), pages 252-270.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:67:y:2021:i:8:p:4880-4907. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.