IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v55y2008i5p419-431.html
   My bibliography  Save this article

Revenue sharing contracts in a supply chain with uncontractible actions

Author

Listed:
  • Albert Y. Ha
  • Shilu Tong

Abstract

We consider a supplier–customer relationship where the customer faces a typical Newsvendor problem of determining perishable capacity to meet uncertain demand. The customer outsources a critical, demand‐enhancing service to an outside supplier, who receives a fixed share of the revenue from the customer. Given such a linear sharing contract, the customer chooses capacity and the service supplier chooses service effort level before demand is realized. We consider the two cases when these decisions are made simultaneously (simultaneous game) or sequentially (sequential game). For each game, we analyze how the equilibrium solutions vary with the parameters of the problem. We show that in the equilibrium, it is possible that either the customer's capacity increases or the service supplier's effort level decreases when the supplier receives a larger share of the revenue. We also show that given the same sharing contract, the sequential game always induces a higher capacity and more effort. For the case of additive effort effect and uniform demand distribution, we consider the customer's problem of designing the optimal contract with or without a fixed payment in the contract, and obtain sensitivity results on how the optimal contract depends on the problem parameters. For the case of fixed payment, it is optimal to allocate more revenue to the supplier to induce more service effort when the profit margin is higher, the cost of effort is lower, effort is more effective in stimulating demand, the variability of demand is smaller or the supplier makes the first move in the sequential game. For the case of no fixed payment, however, it is optimal to allocate more revenue to the supplier when the variability of demand is larger or its mean is smaller. Numerical examples are analyzed to validate the sensitivity results for the case of normal demand distribution and to provide more managerial insights. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008

Suggested Citation

  • Albert Y. Ha & Shilu Tong, 2008. "Revenue sharing contracts in a supply chain with uncontractible actions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(5), pages 419-431, August.
    • Handle: RePEc:wly:navres:v:55:y:2008:i:5:p:419-431
    DOI: 10.1002/nav.20293
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.20293
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.20293?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. Sugato Bhattacharyya & Francine Lafontaine, 1995. "Double-Sided Moral Hazard and the Nature of Share Contracts," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 761-781, Winter.
    2. Eswaran, Mukesh & Kotwal, Ashok, 1985. "A Theory of Contractual Structure in Agriculture," American Economic Review, American Economic Association, vol. 75(3), pages 352-367, June.
    3. Gallini, Nancy T & Lutz, Nancy A, 1992. "Dual Distribution and Royalty Fees in Franchising," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 8(3), pages 471-501, October.
    4. Mathewson, G Frank & Winter, Ralph A, 1985. "The Economics of Franchise Contracts," Journal of Law and Economics, University of Chicago Press, vol. 28(3), pages 503-526, October.
    5. 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.
    6. Hamilton Emmons & Stephen M. Gilbert, 1998. "Note. The Role of Returns Policies in Pricing and Inventory Decisions for Catalogue Goods," Management Science, INFORMS, vol. 44(2), pages 276-283, February.
    7. Corbett, Charles J. & DeCroix, Gregory A. & Ha, Albert Y., 2005. "Optimal shared-savings contracts in supply chains: Linear contracts and double moral hazard," European Journal of Operational Research, Elsevier, vol. 163(3), pages 653-667, June.
    8. Yunzeng Wang & Yigal Gerchak, 2003. "Capacity Games in Assembly Systems with Uncertain Demand," Manufacturing & Service Operations Management, INFORMS, vol. 5(3), pages 252-267, January.
    9. Rajiv Lal, 1990. "Improving Channel Coordination Through Franchising," Marketing Science, INFORMS, vol. 9(4), pages 299-318.
    10. Reid, Joseph D, Jr, 1977. "The Theory of Share Tenancy Revisited-Again," Journal of Political Economy, University of Chicago Press, vol. 85(2), pages 403-407, April.
    11. Yunzeng Wang & Li Jiang & Zuo-Jun Shen, 2004. "Channel Performance Under Consignment Contract with Revenue Sharing," Management Science, INFORMS, vol. 50(1), pages 34-47, January.
    12. Yunzeng Wang, 2006. "Joint Pricing-Production Decisions in Supply Chains of Complementary Products with Uncertain Demand," Operations Research, INFORMS, vol. 54(6), pages 1110-1127, December.
    13. Terry A. Taylor, 2002. "Supply Chain Coordination Under Channel Rebates with Sales Effort Effects," Management Science, INFORMS, vol. 48(8), pages 992-1007, August.
    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. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hu, Benyong & Xu, Dong & Meng, Chao, 2017. "Inconsistency of a retailer's optimal policies and channel performance under revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 183(PA), pages 53-65.
    2. Hu, Benyong & Meng, Chao & Xu, Dong & Son, Young-Jun, 2016. "Three-echelon supply chain coordination with a loss-averse retailer and revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 179(C), pages 192-202.
    3. 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.
    4. J-M Chen & H-L Cheng & I-C Lin, 2011. "On channel coordination under price-dependent revenue-sharing: can eBay's fee structure coordinate the channel?," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 1992-2001, November.

    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. 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.
    2. Moussawi-Haidar, Lama & Çömez-Dolgan, Nagihan, 2017. "Percentage rent contracts between co-stores," European Journal of Operational Research, Elsevier, vol. 258(3), pages 912-925.
    3. Yun Fong Lim & Yunzeng Wang & Yue Wu, 2015. "Consignment Contracts with Revenue Sharing for a Capacitated Retailer and Multiple Manufacturers," Manufacturing & Service Operations Management, INFORMS, vol. 17(4), pages 527-537, October.
    4. Retsef Levi & Georgia Perakis & Cong Shi & Wei Sun, 2020. "Strategic Capacity Planning Problems in Revenue‐Sharing Joint Ventures," Production and Operations Management, Production and Operations Management Society, vol. 29(3), pages 664-687, March.
    5. Koussis, Nicos & Silaghi, Florina, 2023. "Revenue-sharing and volume flexibility in the supply chain," International Journal of Production Economics, Elsevier, vol. 261(C).
    6. 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.
    7. Hu, Benyong & Meng, Chao & Xu, Dong & Son, Young-Jun, 2016. "Three-echelon supply chain coordination with a loss-averse retailer and revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 179(C), pages 192-202.
    8. Woonghee Tim Huh & Kun Soo Park, 2013. "Impact of transfer pricing methods for tax purposes on supply chain performance under demand uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(4), pages 269-293, June.
    9. Chen, Xiangfeng, 2015. "A model of trade credit in a capital-constrained distribution channel," International Journal of Production Economics, Elsevier, vol. 159(C), pages 347-357.
    10. Zhu, Stuart X., 2015. "Integration of capacity, pricing, and lead-time decisions in a decentralized supply chain," International Journal of Production Economics, Elsevier, vol. 164(C), pages 14-23.
    11. Kaya, Onur, 2011. "Outsourcing vs. in-house production: a comparison of supply chain contracts with effort dependent demand," Omega, Elsevier, vol. 39(2), pages 168-178, April.
    12. Granot, Daniel & Yin, Shuya, 2007. "On sequential commitment in the price-dependent newsvendor model," European Journal of Operational Research, Elsevier, vol. 177(2), pages 939-968, March.
    13. Roussey, Ludivine & Soubeyran, Raphael, 2018. "Overburdened judges," International Review of Law and Economics, Elsevier, vol. 55(C), pages 21-32.
    14. 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.
    15. Francine Lafontaine & Kathryn L. Shaw, 1999. "The Dynamics of Franchise Contracting: Evidence from Panel Data," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 1041-1080, October.
    16. Francine Lafontaine & Kathryn L. Shaw, 2005. "Targeting Managerial Control: Evidence from Franchising," RAND Journal of Economics, The RAND Corporation, vol. 36(1), pages 131-150, Spring.
    17. Ananish Chaudhuri & Pushkar Maitra, 1997. "Determinants of Land Tenure Contracts; Theory and Evidence from Rural India," Departmental Working Papers 199710, Rutgers University, Department of Economics.
    18. Maruyama, Masayoshi & Yamashita, Yu, 2010. "The logic of franchise contracts: Empirical results of Japan," Japan and the World Economy, Elsevier, vol. 22(3), pages 183-192, August.
    19. Muriel Fadairo & Cyntia Lanchimba & Miguel Yangari, 2016. "Optimal Monetary Provisions and Risk Aversion in Plural Form Franchise Network. A Model of Incentives with Heterogeneous Agents," Working Papers 1602, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    20. 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.

    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:55:y:2008:i:5:p:419-431. 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.