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When should grocery stores adopt time‐based pricing? Impact of competition and negative congestion externality

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  • Christopher S. Tang
  • Onesun Steve Yoo
  • Dongyuan Zhan

Abstract

Consumers dread shopping during peak hours, and the Covid‐19 pandemic has created additional safety concerns about overcrowding in addition to long waiting times. In view of consumer's congestion aversion, should competitive brick‐and‐mortar grocery stores charge higher prices during congested peak hours to smooth demand? To examine “whether and when” stores should adopt intraday time‐based pricing under competition, we examine a 2‐stage dynamic duopoly game. At the beginning of each stage, each store can make an irreversible decision to adopt time‐based pricing by setting the peak‐hour and normal‐hour prices. We also endogenize consumer's shopping decisions (i.e., when and which store to shop) by incorporating the issue of negative congestion externality. Our equilibrium analysis reveals that time‐based pricing is always beneficial for the stores, and both stores would adopt it eventually in equilibrium. As such, only two equilibria can sustain: either both firms adopt time‐based pricing immediately in stage 1, or only one firm adopts in stage 1 while the other postpones its adoption until stage 2. Interestingly, due to the competitive dynamics, it is less likely for both firms to adopt immediately when consumers are more averse to congestion. Moreover, although the adoption of time‐based pricing leads to differentiated price competition, it can “soften” price competition, causing both peak‐hour and normal‐hour prices to rise above the status quo equilibrium uniform prices. We find that time‐based pricing can always induce demand smoothing and reduce congestion. Although time‐based pricing creates value for the stores (through higher prices), it offers no benefit to consumers.

Suggested Citation

  • Christopher S. Tang & Onesun Steve Yoo & Dongyuan Zhan, 2023. "When should grocery stores adopt time‐based pricing? Impact of competition and negative congestion externality," Production and Operations Management, Production and Operations Management Society, vol. 32(9), pages 2805-2824, September.
  • Handle: RePEc:bla:popmgt:v:32:y:2023:i:9:p:2805-2824
    DOI: 10.1111/poms.14010
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    1. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. Gérard P. Cachon & Kaitlin M. Daniels & Ruben Lobel, 2017. "The Role of Surge Pricing on a Service Platform with Self-Scheduling Capacity," Manufacturing & Service Operations Management, INFORMS, vol. 19(3), pages 368-384, July.
    3. Kenneth S. Corts, 1998. "Third-Degree Price Discrimination in Oligopoly: All-Out Competition and Strategic Commitment," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 306-323, Summer.
    4. A. Michael Spence, 1977. "Entry, Capacity, Investment and Oligopolistic Pricing," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 534-544, Autumn.
    5. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    6. Joshua D. Angrist & Sydnee Caldwell & Jonathan V. Hall, 2021. "Uber versus Taxi: A Driver's Eye View," American Economic Journal: Applied Economics, American Economic Association, vol. 13(3), pages 272-308, July.
    7. Victor F. Araman & René Caldentey, 2009. "Dynamic Pricing for Nonperishable Products with Demand Learning," Operations Research, INFORMS, vol. 57(5), pages 1169-1188, October.
    8. Ioannis Stamatopoulos & Naveed Chehrazi & Achal Bassamboo, 2019. "Welfare Implications of Inventory-Driven Dynamic Pricing," Management Science, INFORMS, vol. 65(12), pages 5741-5765, December.
    9. Yufei Huang & Bilal Gokpinar & Christopher S. Tang & Onesun Steve Yoo, 2018. "Selling Innovative Products in the Presence of Externalities," Production and Operations Management, Production and Operations Management Society, vol. 27(7), pages 1236-1250, July.
    10. 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.
    11. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    12. 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.
    13. Gad Allon & Awi Federgruen, 2007. "Competition in Service Industries," Operations Research, INFORMS, vol. 55(1), pages 37-55, February.
    14. Yongmin Chen, 2008. "Dynamic Price Discrimination With Asymmetric Firms," Journal of Industrial Economics, Wiley Blackwell, vol. 56(4), pages 729-751, December.
    15. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    16. Phillip J. Lederer & Lode Li, 1997. "Pricing, Production, Scheduling, and Delivery-Time Competition," Operations Research, INFORMS, vol. 45(3), pages 407-420, June.
    17. Gérard P. Cachon & Patrick T. Harker, 2002. "Competition and Outsourcing with Scale Economies," Management Science, INFORMS, vol. 48(10), pages 1314-1333, October.
    18. John T. Wenders, 1976. "Peak Load Pricing in the Electric Utility Industry," Bell Journal of Economics, The RAND Corporation, vol. 7(1), pages 232-241, Spring.
    19. Omar Besbes & Assaf Zeevi, 2009. "Dynamic Pricing Without Knowing the Demand Function: Risk Bounds and Near-Optimal Algorithms," Operations Research, INFORMS, vol. 57(6), pages 1407-1420, December.
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