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A stackelberg differential game theoretic approach for analyzing coordination strategies in a supply chain with retailer’s premium store brand

Author

Listed:
  • Parisa Assarzadegan

    (Isfahan University of Technology)

  • Seyed Reza Hejazi

    (Isfahan University of Technology)

  • Morteza Rasti-Barzoki

    (Isfahan University of Technology)

Abstract

The present study examines a supply chain consisting of a manufacturer and a retailer. The manufacturer produces a product with a national brand (NB) and the retailer selling both the NB product and his own premium store brand (PSB) product. The manufacturer competes with the retailer through improving the quality by using innovation over time. It is assumed that both advertising and enhanced quality play positive roles in customers’ loyalty over time for the NB product. We propose four scenarios, including: (1) Decentralized (D), (2) Centralized (C), (3) Coordination with a revenue-sharing contract (RSH), and (4) Coordination with a two-part tariff contract (TPT). A Stackelberg differential game model is developed, and parametric analyses and managerial insights are provided based on a numerical example. Our results show that: (1) Introducing a PSB product alongside selling the NB product is profitable for the retailer, (2) In Scenario D and RSH, the manufacturer tries to increase the quality gap with the PSB product through innovation, (3) Customers’ loyalty leads to higher prices, levels of innovation, quality, and advertising for the NB product, (4) The TPT contract can lead to perfect coordination and yield higher profits for the manufacturer and the retailer.

Suggested Citation

  • Parisa Assarzadegan & Seyed Reza Hejazi & Morteza Rasti-Barzoki, 2024. "A stackelberg differential game theoretic approach for analyzing coordination strategies in a supply chain with retailer’s premium store brand," Annals of Operations Research, Springer, vol. 336(3), pages 1519-1549, May.
    • Handle: RePEc:spr:annopr:v:336:y:2024:i:3:d:10.1007_s10479-023-05372-9
    DOI: 10.1007/s10479-023-05372-9
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    as
    1. Chenavaz, Régis, 2012. "Dynamic pricing, product and process innovation," European Journal of Operational Research, Elsevier, vol. 222(3), pages 553-557.
    2. Liu, Yong & Wang, Dong-dong & Xu, Qian, 2020. "A supply chain coordination mechanism with suppliers’ effort performance level and fairness concern," Journal of Retailing and Consumer Services, Elsevier, vol. 53(C).
    3. Zhao, Ju & Zhou, Yong-Wu & Cao, Zong-Hong & Min, Jie, 2020. "The shelf space and pricing strategies for a retailer-dominated supply chain with consignment based revenue sharing contracts," European Journal of Operational Research, Elsevier, vol. 280(3), pages 926-939.
    4. Chung, Hwan & Lee, Eunkyu, 2017. "Store Brand Quality and Retailer’s Product Line Design," Journal of Retailing, Elsevier, vol. 93(4), pages 527-540.
    5. Mai, Dung T. & Liu, Tieming & Morris, Michael D.S. & Sun, Shuzhen, 2017. "Quality coordination with extended warranty for store-brand products," European Journal of Operational Research, Elsevier, vol. 256(2), pages 524-532.
    6. Li, Wei & Chen, Jing & Chen, Bintong, 2018. "Supply chain coordination with customer returns and retailer's store brand product," International Journal of Production Economics, Elsevier, vol. 203(C), pages 69-82.
    7. Jura Liaukonyte & Thales Teixeira & Kenneth C. Wilbur, 2015. "Television Advertising and Online Shopping," Marketing Science, INFORMS, vol. 34(3), pages 311-330, May.
    8. Prasenjit Mandal & Tarun Jain & Abhishek Chakraborty, 2021. "Quality collaboration contracts under product pricing strategies," Annals of Operations Research, Springer, vol. 302(1), pages 231-264, July.
    9. Zhang, Xiuyi & Hou, Wenhua, 2022. "The impacts of e-tailer's private label on the sales mode selection: From the perspectives of economic and environmental sustainability," European Journal of Operational Research, Elsevier, vol. 296(2), pages 601-614.
    10. Karray, Salma & Martín-Herrán, Guiomar, 2009. "A dynamic model for advertising and pricing competition between national and store brands," European Journal of Operational Research, Elsevier, vol. 193(2), pages 451-467, March.
    11. Xi Yang & Maozeng Xu & Wanleng Zhang, 2020. "Can Design for the Environment be Worthwhile? Green Design for Manufacturers Brands When Confronted with Competition from Store Brands," Sustainability, MDPI, vol. 12(3), pages 1-18, February.
    12. Pei, Zhi & Wooldridge, Barbara Ross & Swimberghe, Krist R., 2021. "Manufacturer rebate and channel coordination in O2O retailing," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    13. Shen, Qichao & He, Bo & Qing, Qiankai, 2022. "Interplays between manufacturer advertising and retailer store brand introduction: Agency vs. wholesale contracts," Journal of Retailing and Consumer Services, Elsevier, vol. 64(C).
    14. Xue Li & Xiaoqiang Cai & Jian Chen, 2022. "Quality and Private Label Encroachment Strategy," Production and Operations Management, Production and Operations Management Society, vol. 31(1), pages 374-390, January.
    15. Amrouche, Nawel & Yan, Ruiliang, 2015. "Aggressive or partnership strategy: Which choice is better for the national brand?," International Journal of Production Economics, Elsevier, vol. 166(C), pages 50-63.
    16. Jiazhen Huo, 2021. "Advances in Theory and Practice in Store Brand Operations," Springer Books, Springer, number 978-981-15-9877-7, December.
    17. Stelios Tsafarakis & Charalampos Saridakis & Nikolaos Matsatsinis & George Baltas, 2016. "Private labels and retail assortment planning: a differential evolution approach," Annals of Operations Research, Springer, vol. 247(2), pages 677-692, December.
    18. Assarzadegan, Parisa & Hejazi, Seyed Reza, 2021. "A game theoretic approach for analyzing the competition between national and store brands by considering store loyalty," Journal of Retailing and Consumer Services, Elsevier, vol. 60(C).
    19. Guiomar Martín-Herrán & Sihem Taboubi, 2005. "Shelf-Space Allocation And Advertising Decisions In The Marketing Channel: A Differential Game Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(03), pages 313-330.
    20. Chen, Pingping & Zhao, Ruiqing & Yan, Yingchen & Li, Xiang, 2020. "Promotional pricing and online business model choice in the presence of retail competition," Omega, Elsevier, vol. 94(C).
    21. Nawel Amrouche & Guiomar Martín-Herrán & Georges Zaccour, 2008. "Feedback Stackelberg equilibrium strategies when the private label competes with the national brand," Annals of Operations Research, Springer, vol. 164(1), pages 79-95, November.
    22. Al-Monawer, Nasser & Davoodi, Mehdi & Qi, Lian, 2021. "Brand and quality effects on introduction of store brand products," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    23. Pan, Xiaojun & Li, Shoude, 2016. "Dynamic optimal control of process–product innovation with learning by doing," European Journal of Operational Research, Elsevier, vol. 248(1), pages 136-145.
    24. Gielens, Katrijn & Ma, Yu & Namin, Aidin & Sethuraman, Raj & Smith, Ronn J. & Bachtel, Robert C. & Jervis, Suzanne, 2021. "The Future of Private Labels: Towards a Smart Private Label Strategy," Journal of Retailing, Elsevier, vol. 97(1), pages 99-115.
    25. Karray, Salma & Martín-Herrán, Guiomar, 2022. "The impact of a store brand introduction in a supply chain with competing manufacturers: The strategic role of pricing and advertising decision timing," International Journal of Production Economics, Elsevier, vol. 244(C).
    26. Tatyana Chernonog, 2021. "Strategic information sharing in online retailing under a consignment contract with revenue sharing," Annals of Operations Research, Springer, vol. 300(2), pages 621-641, May.
    27. Yue, Jinfeng & Austin, Jill & Huang, Zhimin & Chen, Bintong, 2013. "Pricing and advertisement in a manufacturer–retailer supply chain," European Journal of Operational Research, Elsevier, vol. 231(2), pages 492-502.
    28. Khorshidvand, Behrooz & Soleimani, Hamed & Sibdari, Soheil & Seyyed Esfahani, Mir Mehdi, 2021. "Revenue management in a multi-level multi-channel supply chain considering pricing, greening, and advertising decisions," Journal of Retailing and Consumer Services, Elsevier, vol. 59(C).
    29. Fariba Soleimani & Alireza Arshadi Khamseh & Bahman Naderi, 2016. "Optimal decisions in a dual-channel supply chain under simultaneous demand and production cost disruptions," Annals of Operations Research, Springer, vol. 243(1), pages 301-321, August.
    30. Hayes, Beth, 1987. "Competition and Two-Part Tariffs," The Journal of Business, University of Chicago Press, vol. 60(1), pages 41-54, January.
    31. Assarzadegan, Parisa & Hejazi, Seyed Reza & Raissi, Gholam Ali, 2020. "An evolutionary game theoretic model for analyzing retailers’ behavior when introducing economy and premium private labels," Journal of Retailing and Consumer Services, Elsevier, vol. 57(C).
    32. Yue Chen & Sai-Ho Chung & Shu Guo, 2020. "Franchising contracts in fashion supply chain operations: models, practices, and real case study," Annals of Operations Research, Springer, vol. 291(1), pages 83-128, August.
    33. Kurata, Hisashi & Yao, Dong-Qing & Liu, John J., 2007. "Pricing policies under direct vs. indirect channel competition and national vs. store brand competition," European Journal of Operational Research, Elsevier, vol. 180(1), pages 262-281, July.
    34. Bo Liao & Candace A. Yano & Minakshi Trivedi, 2020. "Optimizing Store‐Brand Quality: Impact of Choice of Producer and Channel Price Leadership," Production and Operations Management, Production and Operations Management Society, vol. 29(1), pages 118-137, January.
    35. Hsiao, Lu & Chen, Ying-Ju & Xiong, Hui & Liu, Haoyu, 2022. "Incentives for disclosing the store brand supplier," Omega, Elsevier, vol. 109(C).
    36. Mercedes Martos-Partal & Óscar González-Benito, 2011. "Store brand and store loyalty: The moderating role of store brand positioning," Marketing Letters, Springer, vol. 22(3), pages 297-313, September.
    37. Cheng, Fei & Chen, Tong & Shen, Yuting & Jing, Xiaodong, 2022. "Impact of green technology improvement and store brand introduction on the sales mode selection," International Journal of Production Economics, Elsevier, vol. 253(C).
    38. Cheng, Rong & Duan, Yongrui & Zhang, Jianguang & Ke, Hua, 2021. "Impacts of store-brand introduction on a multiple-echelon supply chain," European Journal of Operational Research, Elsevier, vol. 292(2), pages 652-662.
    39. Yanyan He & Juan Zhang & Qinglong Gou & Gongbing Bi, 2018. "Supply chain decisions with reference quality effect under the O2O environment," Annals of Operations Research, Springer, vol. 268(1), pages 273-292, September.
    40. Song, Jian & Chutani, Anshuman & Dolgui, Alexandre & Liang, Liang, 2021. "Dynamic innovation and pricing decisions in a supply-Chain," Omega, Elsevier, vol. 103(C).
    41. Palmeira, Mauricio M. & Thomas, Dominic, 2011. "Two-Tier Store Brands: The Benefic Impact of a Value Brand on Perceptions of a Premium Brand," Journal of Retailing, Elsevier, vol. 87(4), pages 540-548.
    42. Hara, Reiya & Matsubayashi, Nobuo, 2017. "Premium store brand: Product development collaboration between retailers and national brand manufacturers," International Journal of Production Economics, Elsevier, vol. 185(C), pages 128-138.
    43. Huang, Zongsheng & Feng, Ting, 2020. "Money-back guarantee and pricing decision with retailer's store brand," Journal of Retailing and Consumer Services, Elsevier, vol. 52(C).
    44. Fang, Xiang & Gavirneni, Srinagesh & Rao, Vithala R., 2013. "Supply chains in the presence of store brands," European Journal of Operational Research, Elsevier, vol. 224(2), pages 392-403.
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