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Cross sales in supply chains: An equilibrium analysis

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  • Wu, Chongqi
  • Mallik, Suman

Abstract

Consider a supply chain system with two manufacturers, each producing a single substitutable product. The products are sold through two retailers, each to be privately owned or owned by the manufacturer. A manufacturer is free to use a single retailer or both. We define cross sales to be the situation where at least one retailer sells both products and analyze the cross sales in channels with different degree of vertical integration. We show that cross sale will happen in quantity competition or in a capacity constrained price competition. However, cross sales may never happen in a pure Bertrand price competition.

Suggested Citation

  • Wu, Chongqi & Mallik, Suman, 2010. "Cross sales in supply chains: An equilibrium analysis," International Journal of Production Economics, Elsevier, vol. 126(2), pages 158-167, August.
  • Handle: RePEc:eee:proeco:v:126:y:2010:i:2:p:158-167
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    1. K. Sridhar Moorthy, 1988. "Strategic Decentralization in Channels," Marketing Science, INFORMS, vol. 7(4), pages 335-355.
    2. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    3. Gérard P. Cachon & Christian Terwiesch & Yi Xu, 2008. "On the Effects of Consumer Search and Firm Entry in a Multiproduct Competitive Market," Marketing Science, INFORMS, vol. 27(3), pages 461-473, 05-06.
    4. Lesley Chiou, 2009. "Empirical Analysis of Competition between Wal‐Mart and Other Retail Channels," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 18(2), pages 285-322, June.
    5. Timothy W. McGuire & Richard Staelin, 1983. "An Industry Equilibrium Analysis of Downstream Vertical Integration," Marketing Science, INFORMS, vol. 2(2), pages 161-191.
    6. Erik Brynjolfsson & Yu (Jeffrey) Hu & Mohammad S. Rahman, 2009. "Battle of the Retail Channels: How Product Selection and Geography Drive Cross-Channel Competition," Management Science, INFORMS, vol. 55(11), pages 1755-1765, November.
    7. K. Sridhar Moorthy, 1987. "Comment—Managing Channel Profits: Comment," Marketing Science, INFORMS, vol. 6(4), pages 375-379.
    8. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    9. Sudheer Gupta & Richard Loulou, 1998. "Process Innovation, Product Differentiation, and Channel Structure: Strategic Incentives in a Duopoly," Marketing Science, INFORMS, vol. 17(4), pages 301-316.
    10. Lingxiu Dong & Chakravarthi Narasimhan & Kaijie Zhu, 2009. "Product Line Pricing in a Supply Chain," Management Science, INFORMS, vol. 55(10), pages 1704-1717, October.
    11. Rafael Moner-Colonques & José J. Sempere-Monerris & Amparo Urbano, 2004. "The Manufacturers’ Choice of Distribution Policy under Successive Duopoly," Southern Economic Journal, John Wiley & Sons, vol. 70(3), pages 532-548, January.
    12. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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    Cited by:

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    3. 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.
    4. Shangyu Pi & Yang Wang, 2020. "An E-Tailer’s Operational Strategy under Different Supply Chain Structures," Sustainability, MDPI, vol. 12(5), pages 1-20, March.
    5. Bian, Junsong & Zhao, Xuan & Liu, Yunchuan, 2020. "Single vs. cross distribution channels with manufacturers’ dynamic tacit collusion," International Journal of Production Economics, Elsevier, vol. 220(C).
    6. Xiaojing Li & Xingzheng Ai, 2021. "A choice of selling format in the online marketplace with cross-sales supply chain: Platform selling or traditional reselling?," Electronic Commerce Research, Springer, vol. 21(2), pages 393-422, June.
    7. Angelika Endres-Fröhlich, 2022. "The Impact of Product Differentiation on the Channel Structure in a Manufacturer-Driven Supply Chain," Working Papers Dissertations 92, Paderborn University, Faculty of Business Administration and Economics.
    8. Lixi Zhou & Tijun Fan & Jie Yang & Lihao Zhang, 2022. "Monopolistic vs. Competitive Supply Chain Concerning Selection of the Platform Selling Mode in Three Power Structures," Sustainability, MDPI, vol. 14(17), pages 1-27, September.

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