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Dynamic inventory and pricing models for competing retailers

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  • Fernando Bernstein
  • Awi Federgruen

Abstract

We address infinite‐horizon models for oligopolies with competing retailers under demand uncertainty. We characterize the equilibrium behavior which arises under simple wholesale pricing schemes. More specifically, we consider a periodic review, infinite‐horizon model for a two‐echelon system with a single supplier servicing a network of competing retailers. In every period, each retailer faces a random demand volume, the distribution of which depends on his own retail price as well as those charged by possibly all competing retailers. We also derive various comparative statics results regarding the impact several exogenous system parameters (e.g., cost or distributional parameters) have on the equilibrium decisions of the retailers as well as their expected profits. We show that certain monotonicity properties, engrained in folklore as well as in known inventory models for centralized systems, may break down in decentralized chains under retailer competition. Our results can be used to optimize the aggregate profits in the supply chain (i.e., those of the supplier and all retailers) by implementing a specific wholesale pricing scheme. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.

Suggested Citation

  • Fernando Bernstein & Awi Federgruen, 2004. "Dynamic inventory and pricing models for competing retailers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(2), pages 258-274, March.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:2:p:258-274
    DOI: 10.1002/nav.10113
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    References listed on IDEAS

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    Cited by:

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    3. Ghavamifar, Ali & Makui, Ahmad & Taleizadeh, Ata Allah, 2018. "Designing a resilient competitive supply chain network under disruption risks: A real-world application," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 87-109.
    4. Yiting Xing & Ling Li & Zhuming Bi & Marzena Wilamowska‐Korsak & Li Zhang, 2013. "Operations Research (OR) in Service Industries: A Comprehensive Review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 30(3), pages 300-353, May.
    5. Qi Feng & Yuanchen Li & J. George Shanthikumar, 2020. "Competitive Revenue Management with Sequential Bargaining," Production and Operations Management, Production and Operations Management Society, vol. 29(5), pages 1307-1324, May.
    6. Wallace J. Hopp & Xiaowei Xu, 2008. "A Static Approximation for Dynamic Demand Substitution with Applications in a Competitive Market," Operations Research, INFORMS, vol. 56(3), pages 630-645, June.
    7. Ali Ekici & Baṣak Altan & Okan Örsan Özener, 2016. "Pricing decisions in a strategic single retailer/dual suppliers setting under order size constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1887-1898, April.
    8. Liu, Weiwei & Kong, Nan & Wang, Mingzheng & Zhang, Lingling, 2021. "Sustainable multi-commodity capacitated facility location problem with complementarity demand functions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    9. Xiaowei Xu & Wallace J. Hopp, 2006. "A Monopolistic and Oligopolistic Stochastic Flow Revenue Management Model," Operations Research, INFORMS, vol. 54(6), pages 1098-1109, December.
    10. Schlicher, Loe & Lurkin, Virginie, 2022. "Stable allocations for choice-based collaborative price setting," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1242-1254.
    11. Sudipta Sinha & Nikunja Mohan Modak & Shib Sankar Sana, 2020. "An entropic order quantity inventory model for quality assessment considering price sensitive demand," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 88-103, March.

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