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Bundling decisions in a two-product duopoly – Lead or follow?

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  • Zhou, Shu
  • Song, Boqian
  • Gavirneni, Srinagesh

Abstract

We evaluate the impact of bundling on firms’ product and pricing strategies by developing and solving a multi-stage game theoretic model to represent strategic interactions between two competing firms. Each firm is able to produce two homogeneous products and can opt to bundle them together, which may have the dual benefits of providing added value to consumers and reducing marginal cost for firms. One firm (the leader) determines its product offering before the other (the follower), and both then simultaneously set prices. We demonstrate the existence and uniqueness of a Nash equilibrium and show that the option to bundle can benefit all competitors simultaneously. When mixed bundling is not an option, we characterize and quantify the leader’s advantage in terms of profitability. However, when mixed bundling is an option, the follower may reverse its profit disadvantage by using it as a potential threat. Furthermore, our numerical results show that (i) bundling enhances the balance between firms’ total profit and consumer surplus; (ii) for the firm that bundles, value addition and cost saving brought by bundling act as strategic complements in that their combined benefit is larger than the sum of individual benefits; and (iii) value addition and cost saving improve the market demand, firms’ total profit as well as consumer surplus.

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  • Zhou, Shu & Song, Boqian & Gavirneni, Srinagesh, 2020. "Bundling decisions in a two-product duopoly – Lead or follow?," European Journal of Operational Research, Elsevier, vol. 284(3), pages 980-989.
  • Handle: RePEc:eee:ejores:v:284:y:2020:i:3:p:980-989
    DOI: 10.1016/j.ejor.2020.01.030
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    1. Anderson, Simon P. & Leruth, Luc, 1993. "Why firms may prefer not to price discriminate via mixed bundling," International Journal of Industrial Organization, Elsevier, vol. 11(1), pages 49-61, March.
    2. John Thanassoulis, 2007. "Competitive Mixed Bundling and Consumer Surplus," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 437-467, June.
    3. Chen, Yongmin, 1997. "Equilibrium Product Bundling," The Journal of Business, University of Chicago Press, vol. 70(1), pages 85-103, January.
    4. Choi, Jay Pil & Stefanadis, Christodoulos, 2001. "Tying, Investment, and the Dynamic Leverage Theory," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 52-71, Spring.
    5. Dennis W. Carlton & Michael Waldman, 2002. "The Strategic Use of Tying to Preserve and Create Market Power in Evolving Industries," RAND Journal of Economics, The RAND Corporation, vol. 33(2), pages 194-220, Summer.
    6. 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.
    7. Mihai Banciu & Esther Gal-Or & Prakash Mirchandani, 2010. "Bundling Strategies When Products Are Vertically Differentiated and Capacities Are Limited," Management Science, INFORMS, vol. 56(12), pages 2207-2223, December.
    8. Praveen K. Kopalle & Aradhna Krishna & João L. Assunção, 1999. "The role of market expansion on equilibrium bundling strategies," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(7), pages 365-377.
    9. Chakravarty, A. & Mild, A. & Taudes, A., 2013. "Bundling decisions in supply chains," European Journal of Operational Research, Elsevier, vol. 231(3), pages 617-630.
    10. Nicholas Economides, 1993. "Mixed Bundling in Duopoly," Working Papers 93-29, New York University, Leonard N. Stern School of Business, Department of Economics.
    11. Bikram Ghosh & Subramanian Balachander, 2007. "Research Note--Competitive Bundling and Counterbundling with Generalist and Specialist Firms," Management Science, INFORMS, vol. 53(1), pages 159-168, January.
    12. Jidong Zhou, 2017. "Competitive Bundling," Econometrica, Econometric Society, vol. 85, pages 145-172, January.
    13. Hemant K. Bhargava, 2012. "Retailer-Driven Product Bundling in a Distribution Channel," Marketing Science, INFORMS, vol. 31(6), pages 1014-1021, November.
    14. Yannis Bakos & Erik Brynjolfsson, 1999. "Bundling Information Goods: Pricing, Profits, and Efficiency," Management Science, INFORMS, vol. 45(12), pages 1613-1630, December.
    15. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(3), pages 475-498.
    16. Barry Nalebuff, 2004. "Bundling as an Entry Barrier," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(1), pages 159-187.
    17. Jay Pil Choi & Christodoulos Stefanadis, 2006. "Bundling, Entry Deterrence, and Specialist Innovators," The Journal of Business, University of Chicago Press, vol. 79(5), pages 2575-2594, September.
    18. Reisinger, Markus, 2004. "The Effects of Product Bundling in Duopoly," Discussion Papers in Economics 477, University of Munich, Department of Economics.
    19. Dorothée Honhon & Xiajun Amy Pan, 2017. "Improving Profits by Bundling Vertically Differentiated Products," Production and Operations Management, Production and Operations Management Society, vol. 26(8), pages 1481-1497, August.
    20. Bulut, Zümbül & Gürler, Ülkü & Sen, Alper, 2009. "Bundle pricing of inventories with stochastic demand," European Journal of Operational Research, Elsevier, vol. 197(3), pages 897-911, September.
    21. Subramanian Balachander & Bikram Ghosh & Axel Stock, 2010. "Why Bundle Discounts Can Be a Profitable Alternative to Competing on Price Promotions," Marketing Science, INFORMS, vol. 29(4), pages 624-638, 07-08.
    22. McCardle, Kevin F. & Rajaram, Kumar & Tang, Christopher S., 2007. "Bundling retail products: Models and analysis," European Journal of Operational Research, Elsevier, vol. 177(2), pages 1197-1217, March.
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