IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v344y2025i1d10.1007_s10479-024-06314-9.html
   My bibliography  Save this article

Supply disruptions and the problem of pricing, advertising, and sourcing strategies in a retail duopoly market

Author

Listed:
  • Reza Maihami

    (Mercer University)

  • Devika Kannan

    (University of Adelaide)

  • Mohammad Fattahi

    (Northumbria University)

  • Chunguang Bai

    (University of Electronic Science and Technology of China)

Abstract

Retailers play a crucial role in the economy, and their ability to effectively manage supply disruptions can significantly impact their performance and competitiveness. This study delves into the complex dynamics of retail markets, particularly in duopoly settings, where two major retailers interact strategically to maximize their profits. The goal is to understand how supply disruptions influence not only pricing and advertising strategies but also sourcing decisions. Three game structures are presented to analyze interactions between retailers, aiming to maximize total profit by determining the optimal sale price and advertising investment. The paper introduces a mathematical formulation for these games and a methodology to find the optimal solution based on the sourcing strategy (single, dual, or multiple sourcing strategy).2 An extensive numerical example with discussion and sensitivity analysis is provided. The study's results can assist decision-makers in selecting the most appropriate sourcing strategy in the presence of disruptions. The optimal pricing and advertising investment in both disruption and non-disruption scenarios for retailers are identified. The study concludes that acting as the leader in the Stackelberg game rather than Nash leads to higher profits. Moreover, dual sourcing is more advantageous than multiple sourcing for retailers. The managerial insights offer useful recommendations for retailers to improve their position in the competitive market.

Suggested Citation

  • Reza Maihami & Devika Kannan & Mohammad Fattahi & Chunguang Bai, 2025. "Supply disruptions and the problem of pricing, advertising, and sourcing strategies in a retail duopoly market," Annals of Operations Research, Springer, vol. 344(1), pages 217-266, January.
  • Handle: RePEc:spr:annopr:v:344:y:2025:i:1:d:10.1007_s10479-024-06314-9
    DOI: 10.1007/s10479-024-06314-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-024-06314-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10479-024-06314-9?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yang, Zaoli & Shang, Wen-Long & Miao, Lin & Gupta, Shivam & Wang, Zhengli, 2024. "Pricing decisions of online and offline dual-channel supply chains considering data resource mining," Omega, Elsevier, vol. 126(C).
    2. Anna Nagurney & Dong Li, 2015. "A supply chain network game theory model with product differentiation, outsourcing of production and distribution, and quality and price competition," Annals of Operations Research, Springer, vol. 226(1), pages 479-503, March.
    3. Yusong Wang & David Bell & V. Padmanabhan, 2009. "Manufacturer-owned retail stores," Marketing Letters, Springer, vol. 20(2), pages 107-124, June.
    4. Glock, C. H., 2012. "Single sourcing versus dual sourcing under conditions of learning," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57813, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Kouki, Chaaben & Babai, M. Zied & Minner, Stefan, 2018. "On the benefit of dual-sourcing in managing perishable inventory," International Journal of Production Economics, Elsevier, vol. 204(C), pages 1-17.
    6. Cuihong Li & Laurens G. Debo, 2009. "Strategic dynamic sourcing from competing suppliers with transferable capacity investment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 540-562, September.
    7. Qi, Lian & Shi, Jim (Junmin) & Xu, Xiaowei, 2015. "Supplier competition and its impact on firm׳s sourcing strategy," Omega, Elsevier, vol. 55(C), pages 91-110.
    8. Michael Sinkinson & Amanda Starc, 2019. "Ask Your Doctor? Direct-to-Consumer Advertising of Pharmaceuticals," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 836-881.
    9. Ali, Syed Mithun & Rahman, Md. Hafizur & Tumpa, Tasmia Jannat & Moghul Rifat, Abid Ali & Paul, Sanjoy Kumar, 2018. "Examining price and service competition among retailers in a supply chain under potential demand disruption," Journal of Retailing and Consumer Services, Elsevier, vol. 40(C), pages 40-47.
    10. Burke, Gerard J. & Carrillo, Janice E. & Vakharia, Asoo J., 2007. "Single versus multiple supplier sourcing strategies," European Journal of Operational Research, Elsevier, vol. 182(1), pages 95-112, October.
    11. Biswas, Indranil & Avittathur, Balram & Chatterjee, Ashis K, 2016. "Impact of structure, market share and information asymmetry on supply contracts for a single supplier multiple buyer network," European Journal of Operational Research, Elsevier, vol. 253(3), pages 593-601.
    12. Varun Gupta & Bo He & Suresh P. Sethi, 2015. "Contingent sourcing under supply disruption and competition," International Journal of Production Research, Taylor & Francis Journals, vol. 53(10), pages 3006-3027, May.
    13. Dridi, Dhouha & Ben Youssef, Slim, 2015. "Local advertising externalities and cooperation in one manufacturer-two retailers channel," MPRA Paper 62705, University Library of Munich, Germany.
    14. Shan, Xi & Xiong, Siqin & Zhang, Chenglin, 2023. "Mitigating supply disruption risks by diversifying competing suppliers and using sales effort," International Journal of Production Economics, Elsevier, vol. 255(C).
    15. Rajiv Lal, 1990. "Improving Channel Coordination Through Franchising," Marketing Science, INFORMS, vol. 9(4), pages 299-318.
    16. Basu, Preetam & Avittathur, Balram, 2018. "Pricing and sourcing strategies for competing retailers in supply chains under disruption riskAuthor-Name: Kumar, Milan," European Journal of Operational Research, Elsevier, vol. 265(2), pages 533-543.
    17. Zhu, Stuart X., 2015. "Analysis of dual sourcing strategies under supply disruptions," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 191-203.
    18. Xie, Jinxing & Wei, Jerry C., 2009. "Coordinating advertising and pricing in a manufacturer-retailer channel," European Journal of Operational Research, Elsevier, vol. 197(2), pages 785-791, September.
    19. Yu, Haisheng & Zeng, Amy Z. & Zhao, Lindu, 2009. "Single or dual sourcing: decision-making in the presence of supply chain disruption risks," Omega, Elsevier, vol. 37(4), pages 788-800, August.
    20. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    21. Jianqing Chen & Zhiling Guo, 2014. "Strategic Sourcing in the Presence of Uncertain Supply and Retail Competition," Production and Operations Management, Production and Operations Management Society, vol. 23(10), pages 1748-1760, October.
    22. Mohammad Asghari & Hamid Afshari & S.M.J. Mirzapour Al-E-Hashem & Amir Fathollahi-Fard & Maxim Dulebenets, 2022. "Pricing and advertising decisions in a direct-sales closed-loop supply chain," Post-Print hal-03870063, HAL.
    23. Fang, Yaner & Shou, Biying, 2015. "Managing supply uncertainty under supply chain Cournot competition," European Journal of Operational Research, Elsevier, vol. 243(1), pages 156-176.
    24. Salma Karray & Saman Hassanzadeh Amin, 2015. "Cooperative advertising in a supply chain with retail competition," International Journal of Production Research, Taylor & Francis Journals, vol. 53(1), pages 88-105, January.
    25. Zhe Yin & Chen Wang, 2018. "Strategic cooperation with a backup supplier for the mitigation of supply disruptions," International Journal of Production Research, Taylor & Francis Journals, vol. 56(12), pages 4300-4312, June.
    26. Shafiq, Asad & Johnson, P. Fraser & Awaysheh, Amrou, 2019. "Emerging economy sourcing: Implications of supplier social practices for firm performance," International Journal of Production Economics, Elsevier, vol. 218(C), pages 148-158.
    27. Chunguang Bai & Joseph Sarkis, 2016. "Supplier development investment strategies: a game theoretic evaluation," Annals of Operations Research, Springer, vol. 240(2), pages 583-615, May.
    28. 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.
    29. Sammi Yu Tang & Panos Kouvelis, 2011. "Supplier Diversification Strategies in the Presence of Yield Uncertainty and Buyer Competition," Manufacturing & Service Operations Management, INFORMS, vol. 13(4), pages 439-451, October.
    30. Shigui Ma & Yong He & Ran Gu, 2021. "Dynamic generic and brand advertising decisions under supply disruption," International Journal of Production Research, Taylor & Francis Journals, vol. 59(1), pages 188-212, January.
    31. Szmerekovsky, Joseph G. & Zhang, Jiang, 2009. "Pricing and two-tier advertising with one manufacturer and one retailer," European Journal of Operational Research, Elsevier, vol. 192(3), pages 904-917, February.
    32. Heese, H. Sebastian, 2015. "Single versus multiple sourcing and the evolution of bargaining positions," Omega, Elsevier, vol. 54(C), pages 125-133.
    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. Basu, Preetam & Avittathur, Balram, 2018. "Pricing and sourcing strategies for competing retailers in supply chains under disruption riskAuthor-Name: Kumar, Milan," European Journal of Operational Research, Elsevier, vol. 265(2), pages 533-543.
    2. Khadija Echefaj & Abdelkabir Charkaoui & Anass Cherrafi & Dmitry Ivanov, 2024. "Design of resilient and viable sourcing strategies in intertwined circular supply networks," Annals of Operations Research, Springer, vol. 337(1), pages 459-498, June.
    3. Gupta, Varun & Ivanov, Dmitry & Choi, Tsan-Ming, 2021. "Competitive pricing of substitute products under supply disruption," Omega, Elsevier, vol. 101(C).
    4. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    5. Wu, Meng & Zhang, Jiawei & Chen, Xin, 2025. "Managing supply disruptions for risk-averse buyers: Diversified sourcing vs. disruption prevention," Omega, Elsevier, vol. 131(C).
    6. Wu, Junjian & Wang, Haiyan & Shang, Jennifer, 2019. "Multi-sourcing and information sharing under competition and supply uncertainty," European Journal of Operational Research, Elsevier, vol. 278(2), pages 658-671.
    7. Soroush Safarzadeh, 2023. "A game theoretic approach for pricing and advertising of an integrated product family in a duopoly," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-26, July.
    8. Kelei Xue & Ya Xu & Lipan Feng, 2018. "Managing Procurement for a Firm with Two Ordering Opportunities under Supply Disruption Risk," Sustainability, MDPI, vol. 10(9), pages 1-32, September.
    9. Bin Zhang & Zekai Lai & Qiangqiang Wang, 2021. "Multi-product dual sourcing problem with limited capacities," Operational Research, Springer, vol. 21(3), pages 2055-2075, September.
    10. Dridi, Dhouha & Ben Youssef, Slim, 2015. "Local advertising externalities and cooperation in one manufacturer-two retailers channel," MPRA Paper 62705, University Library of Munich, Germany.
    11. Jiaping Xie & Lihong Wei & Weisi Zhang & Yu Xia & Jing Li, 2019. "A Responsive Pricing Grid Operator Sourcing from Competing Generators under Uncertain Supply and Demand," Sustainability, MDPI, vol. 11(15), pages 1-30, July.
    12. Dong, Binwei & Tang, Wansheng & Zhou, Chi & Ren, Yufei, 2021. "Is dual sourcing a better choice? The impact of reliability improvement and contract manufacturer encroachment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    13. Maheswar Singh Mahapatra & Pravash Chandra Pradhan & J. K. Jha, 2022. "Sourcing decisions with order allocation under supply disruption risk considering quantitative and qualitative criteria," Operational Research, Springer, vol. 22(4), pages 3291-3333, September.
    14. Sanjoy Kumar Paul & Ruhul Sarker & Daryl Essam & Paul Tae-Woo Lee, 2019. "A mathematical modelling approach for managing sudden disturbances in a three-tier manufacturing supply chain," Annals of Operations Research, Springer, vol. 280(1), pages 299-335, September.
    15. Dridi, Dhouha & Ben Youssef, Slim, 2015. "A Game Theoretic Framework for Competing/Cooperating Retailers under price and advertising dependent demand," MPRA Paper 63317, University Library of Munich, Germany.
    16. Preetam Basu & Soumita Ghosh & Milan Kumar, 2019. "Supplier ratings and dynamic sourcing strategies to mitigate supply disruption risks," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 46(1), pages 41-57, March.
    17. Kunter, Marcus, 2012. "Coordination via cost and revenue sharing in manufacturer–retailer channels," European Journal of Operational Research, Elsevier, vol. 216(2), pages 477-486.
    18. Azad, Nader & Hassini, Elkafi, 2019. "Recovery strategies from major supply disruptions in single and multiple sourcing networks," European Journal of Operational Research, Elsevier, vol. 275(2), pages 481-501.
    19. Yixin Zhang & Xifu Wang, 2019. "Procurement Strategy with Backup Sourcing under Stochastic Supply Risk," Complexity, Hindawi, vol. 2019, pages 1-15, March.
    20. Xu, Xiaoyan & Choi, Tsan-Ming & Chung, Sai-Ho & Guo, Shu, 2023. "Collaborative-commerce in supply chains: A review and classification of analytical models," International Journal of Production Economics, Elsevier, vol. 263(C).

    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:spr:annopr:v:344:y:2025:i:1:d:10.1007_s10479-024-06314-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.