IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v66y2019i8p619-631.html
   My bibliography  Save this article

Oligopolistic contracting: Channel coordination under competition

Author

Listed:
  • Guillermo Gallego
  • Masoud Talebian

Abstract

We study contracts between a single retailer and multiple suppliers of two substitutable products, where suppliers have fixed capacities and present the retailer cost contracts for their supplies. After observing the contracts, the retailer decides how much capacity to purchase from each supplier, to maximize profits from the purchased capacity from the suppliers plus his possessed inventory (endowment). This is modeled as a noncooperative, nonzero‐sum game, where suppliers, or principals, move simultaneously as leaders and the retailer, the common agent, is the sole follower. We are interested in the form of the contracts in equilibrium, their effect on the total supply chain profit, and how the profit is split between the suppliers and the retailer. Under mild assumptions, we characterize the set of all equilibrium contracts and discuss all‐unit and marginal‐unit quantity discounts as special cases. We also show that the supply chain is coordinated in equilibrium with a unique profit split between the retailer and the suppliers. Each supplier's profit is equal to the marginal contribution of her capacity to supply chain profits in equilibrium. The retailer's profit is equal to the total revenue collected from the market minus the payments to the suppliers and the associated sales costs.

Suggested Citation

  • Guillermo Gallego & Masoud Talebian, 2019. "Oligopolistic contracting: Channel coordination under competition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(8), pages 619-631, December.
  • Handle: RePEc:wly:navres:v:66:y:2019:i:8:p:619-631
    DOI: 10.1002/nav.21873
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.21873
    Download Restriction: no

    File URL: https://libkey.io/10.1002/nav.21873?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. Guillermo Gallego & Masoud Talebian, 2014. "Commissions and Sales Targets Under Competition," Management Science, INFORMS, vol. 60(9), pages 2180-2197, September.
    2. Gérard P. Cachon & A. Gürhan Kök, 2010. "Competing Manufacturers in a Retail Supply Chain: On Contractual Form and Coordination," Management Science, INFORMS, vol. 56(3), pages 571-589, March.
    3. Abel P. Jeuland & Steven M. Shugan, 1983. "Managing Channel Profits," Marketing Science, INFORMS, vol. 2(3), pages 239-272.
    4. Shuya Yin, 2010. "Alliance Formation Among Perfectly Complementary Suppliers in a Price-Sensitive Assembly System," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 527-544, October.
    5. Ganesh Iyer, 1998. "Coordinating Channels Under Price and Nonprice Competition," Marketing Science, INFORMS, vol. 17(4), pages 338-355.
    6. B. Douglas Bernheim & Michael D. Whinston, 1985. "Common Marketing Agency as a Device for Facilitating Collusion," RAND Journal of Economics, The RAND Corporation, vol. 16(2), pages 269-281, Summer.
    7. Awi Federgruen & Ming Hu, 2016. "Technical Note—Sequential Multiproduct Price Competition in Supply Chain Networks," Operations Research, INFORMS, vol. 64(1), pages 135-149, February.
    8. Harish Krishnan & Roman Kapuscinski & David A. Butz, 2004. "Coordinating Contracts for Decentralized Supply Chains with Retailer Promotional Effort," Management Science, INFORMS, vol. 50(1), pages 48-63, January.
    9. Volodymyr Babich & Apostolos N. Burnetas & Peter H. Ritchken, 2007. "Competition and Diversification Effects in Supply Chains with Supplier Default Risk," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 123-146, October.
    10. Li Jiang & Yunzeng Wang, 2010. "Supplier Competition in Decentralized Assembly Systems with Price-Sensitive and Uncertain Demand," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 93-101, January.
    11. Andy A. Tsay, 1999. "The Quantity Flexibility Contract and Supplier-Customer Incentives," Management Science, INFORMS, vol. 45(10), pages 1339-1358, October.
    12. Terry A. Taylor, 2002. "Supply Chain Coordination Under Channel Rebates with Sales Effort Effects," Management Science, INFORMS, vol. 48(8), pages 992-1007, August.
    13. Wedad J. Elmaghraby, 2000. "Supply Contract Competition and Sourcing Policies," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 350-371, April.
    14. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    15. Charles J. Corbett & Uday S. Karmarkar, 2001. "Competition and Structure in Serial Supply Chains with Deterministic Demand," Management Science, INFORMS, vol. 47(7), pages 966-978, July.
    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. Lu, Lijian & Wu, Yaozhong, 2015. "Preferences for contractual forms in supply chains," European Journal of Operational Research, Elsevier, vol. 241(1), pages 74-84.
    2. Desheng Wu, 2011. "Joint pricing-servicing decision and channel strategies in the supply chain," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(1), pages 99-137, March.
    3. Iida, Tetsuo, 2012. "Coordination of cooperative cost-reduction efforts in a supply chain partnership," European Journal of Operational Research, Elsevier, vol. 222(2), pages 180-190.
    4. 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.
    5. Li, Bai-Xun & Zhou, Yong-Wu & Li, Ji-zi & Zhou, Shi-ping, 2013. "Contract choice game of supply chain competition at both manufacturer and retailer levels," International Journal of Production Economics, Elsevier, vol. 143(1), pages 188-197.
    6. Cai, Wenbo & Abdel-Malek, Layek & Hoseini, Babak & Rajaei Dehkordi, Sharareh, 2015. "Impact of flexible contracts on the performance of both retailer and supplier," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 429-444.
    7. Sainathan, Arvind & Groenevelt, Harry, 2019. "Vendor managed inventory contracts – coordinating the supply chain while looking from the vendor’s perspective," European Journal of Operational Research, Elsevier, vol. 272(1), pages 249-260.
    8. Yong Zha & Jiahong Zhang & Xiaohang Yue & Zhongsheng Hua, 2015. "Service supply chain coordination with platform effort-induced demand," Annals of Operations Research, Springer, vol. 235(1), pages 785-806, December.
    9. 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.
    10. Haresh Gurnani & Murat Erkoc, 2008. "Supply contracts in manufacturer‐retailer interactions with manufacturer‐quality and retailer effort‐induced demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(3), pages 200-217, April.
    11. Niu, Baozhuang & Jin, Delong & Pu, Xujin, 2016. "Coordination of channel members’ efforts and utilities in contract farming operations," European Journal of Operational Research, Elsevier, vol. 255(3), pages 869-883.
    12. Lin Jiang & Yong Wang & Xiaoming Yan & Wei Dai, 2014. "Coordinating a three-stage supply chain with competing manufacturers," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(1), pages 53-72, March.
    13. Ma, Peng & Wang, Haiyan & Shang, Jennifer, 2013. "Contract design for two-stage supply chain coordination: Integrating manufacturer-quality and retailer-marketing efforts," International Journal of Production Economics, Elsevier, vol. 146(2), pages 745-755.
    14. Ying Wu & Haiyan Li & Qinglong Gou & Jibao Gu, 2017. "Supply chain models with corporate social responsibility," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6732-6759, November.
    15. Vibhanshu Abhishek & Kinshuk Jerath & Z. John Zhang, 2016. "Agency Selling or Reselling? Channel Structures in Electronic Retailing," Management Science, INFORMS, vol. 62(8), pages 2259-2280, August.
    16. Barry Alan Pasternack, 2008. "Commentary—Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 27(1), pages 131-132, 01-02.
    17. Iravani, Foad & Dasu, Sriram & Ahmadi, Reza, 2016. "Beyond price mechanisms: How much can service help manage the competition from gray markets?," European Journal of Operational Research, Elsevier, vol. 252(3), pages 789-800.
    18. Wang, Feng & Diabat, Ali & Wu, Lunwen, 2021. "Supply chain coordination with competing suppliers under price-sensitive stochastic demand," International Journal of Production Economics, Elsevier, vol. 234(C).
    19. Burer, Samuel & Jones, Philip C. & Lowe, Timothy J., 2008. "Coordinating the supply chain in the agricultural seed industry," European Journal of Operational Research, Elsevier, vol. 185(1), pages 354-377, February.
    20. Yong Zha & Kehong Chen & Xiaohang Yue & Yugang Yu & Samar Mukhopadhyay, 2019. "Trade credit contract in the presence of retailer investment opportunity," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(4), pages 283-296, June.

    More about this item

    Statistics

    Access and download statistics

    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:wly:navres:v:66:y:2019:i:8:p:619-631. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.