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Bundle pricing strategies for two complementary products with different channel powers

Author

Listed:
  • Raghu Nandan Giri

    (Vidyasagar University)

  • Shyamal Kumar Mondal

    (Vidyasagar University)

  • Manoranjan Maiti

    (Vidyasagar University)

Abstract

In this paper, we consider a duopoly market where two manufacturers separately produce and sell two complementary products through a common retailer as a leader–follower movement. The competition has been studied in two-echelon supply chain system and all produced products are sold by the retailer with individual product prices or with pure products’ bundling price in the non-cooperative market. The demand of each product linearly depends on prices of these two products as per their nature. Here, model for two different cases (without and with pure products’ bundling) are developed mathematically to maximize the profit of each participant of the supply chain and then corresponding optimal pricing strategies are worked out for the manufacturers and retailer. It is shown that supply chain profit for the pure bundling is better than the profit when products are sold at individual prices. Finally, the model is illustrated with numerical data to study the effects of models’ parameters in the pricing strategies and some marketing decisions are explored.

Suggested Citation

  • Raghu Nandan Giri & Shyamal Kumar Mondal & Manoranjan Maiti, 2020. "Bundle pricing strategies for two complementary products with different channel powers," Annals of Operations Research, Springer, vol. 287(2), pages 701-725, April.
  • Handle: RePEc:spr:annopr:v:287:y:2020:i:2:d:10.1007_s10479-017-2632-y
    DOI: 10.1007/s10479-017-2632-y
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    1. Zhang, Linghong & Wang, Jingguo & You, Jianxin, 2015. "Consumer environmental awareness and channel coordination with two substitutable products," European Journal of Operational Research, Elsevier, vol. 241(1), pages 63-73.
    2. Chenghuan Sean Chu & Phillip Leslie & Alan Sorensen, 2011. "Bundle-Size Pricing as an Approximation to Mixed Bundling," American Economic Review, American Economic Association, vol. 101(1), pages 263-303, February.
    3. Alessandro Avenali & Anna D’Annunzio & Pierfrancesco Reverberi, 2013. "Bundling, Competition and Quality Investment: A Welfare Analysis," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 43(3), pages 221-241, November.
    4. S. Chan Choi, 1991. "Price Competition in a Channel Structure with a Common Retailer," Marketing Science, INFORMS, vol. 10(4), pages 271-296.
    5. Hemant K. Bhargava, 2012. "Retailer-Driven Product Bundling in a Distribution Channel," Marketing Science, INFORMS, vol. 31(6), pages 1014-1021, November.
    6. Jay Pil Choi, 2008. "Mergers With Bundling In Complementary Markets," Journal of Industrial Economics, Wiley Blackwell, vol. 56(3), pages 553-577, September.
    7. Mukhopadhyay, Samar K. & Yue, Xiaohang & Zhu, Xiaowei, 2011. "A Stackelberg model of pricing of complementary goods under information asymmetry," International Journal of Production Economics, Elsevier, vol. 134(2), pages 424-433, December.
    8. Jing Chen & Peter Bell, 2013. "The impact of customer returns on supply chain decisions under various channel interactions," Annals of Operations Research, Springer, vol. 206(1), pages 59-74, July.
    9. Hu Huang & Hua Ke, 2017. "Pricing decision problem for substitutable products based on uncertainty theory," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 503-514, March.
    10. Joshua S. Gans & Stephen P. King, 2006. "Paying For Loyalty: Product Bundling In Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 54(1), pages 43-62, March.
    11. Jie Wei & Jing Zhao, 2016. "Pricing decisions for substitutable products with horizontal and vertical competition in fuzzy environments," Annals of Operations Research, Springer, vol. 242(2), pages 505-528, July.
    12. Sheikhzadeh, Mehdi & Elahi, Ehsan, 2013. "Product bundling: Impacts of product heterogeneity and risk considerations," International Journal of Production Economics, Elsevier, vol. 144(1), pages 209-222.
    13. Jagmohan S. Raju & Abhik Roy, 2000. "Market Information and Firm Performance," Management Science, INFORMS, vol. 46(8), pages 1075-1084, August.
    14. Andy A. Tsay & Narendra Agrawal, 2000. "Channel Dynamics Under Price and Service Competition," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 372-391, August.
    15. Yan, Ruiliang & Myers, Chris & Wang, John & Ghose, Sanjoy, 2014. "Bundling products to success: The influence of complementarity and advertising," Journal of Retailing and Consumer Services, Elsevier, vol. 21(1), pages 48-53.
    16. Matutes, Carmen & Regibeau, Pierre, 1992. "Compatibility and Bundling of Complementary Goods in a Duopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 37-54, March.
    17. Mark Armstrong & John Vickers, 2010. "Competitive Non-linear Pricing and Bundling," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 30-60.
    18. Gürlera, Ülkü & Öztop, Salih & Sen, Alper, 2009. "Optimal bundle formation and pricing of two products with limited stock," International Journal of Production Economics, Elsevier, vol. 118(2), pages 442-462, April.
    19. Li, Minqiang & Feng, Haiyang & Chen, Fuzan & Kou, Jisong, 2013. "Numerical investigation on mixed bundling and pricing of information products," International Journal of Production Economics, Elsevier, vol. 144(2), pages 560-571.
    20. Zhao, Jing & Wei, Jie & Li, Yongjian, 2014. "Pricing decisions for substitutable products in a two-echelon supply chain with firms׳ different channel powers," International Journal of Production Economics, Elsevier, vol. 153(C), pages 243-252.
    21. Yan, Ruiliang & Bandyopadhyay, Subir, 2011. "The profit benefits of bundle pricing of complementary products," Journal of Retailing and Consumer Services, Elsevier, vol. 18(4), pages 355-361.
    22. Zhao, Jing & Tang, Wansheng & Zhao, Ruiqing & Wei, Jie, 2012. "Pricing decisions for substitutable products with a common retailer in fuzzy environments," European Journal of Operational Research, Elsevier, vol. 216(2), pages 409-419.
    23. Duarte Brito & Helder Vasconcelos, 2015. "Interfirm Bundling and Vertical Product Differentiation," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(1), pages 1-27, January.
    24. Yue, Xiaohang & Mukhopadhyay, Samar K. & Zhu, Xiaowei, 2006. "A Bertrand model of pricing of complementary goods under information asymmetry," Journal of Business Research, Elsevier, vol. 59(10-11), pages 1182-1192, October.
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