Skip to main content

Supply Chain Network Oligopolies with Product Differentiation

  • Chapter
  • First Online:
Book cover Competing on Supply Chain Quality

Part of the book series: Springer Series in Supply Chain Management ((SSSCM,volume 2))

Abstract

This chapter is the first chapter of Part III of this book, which concentrates on quality in product differentiation and outsourcing settings. In Chap. 3, we noted that quality information asymmetry under product homogeneity could lead to a quality “free ride,” which might jeopardize certain firms’ profits and product quality. Therefore, in order to prevent such harmful results, it is important for firms to differentiate their products from that of their competitors, so that consumers will be able to identify the products of different firms and their quality. In this chapter, we present a supply chain network model with quality competition in differentiated products, where the product of each firm is substitutable but differentiated by a brand or label. We first present the equilibrium model and derive alternative variational inequality formulations. We then construct the projected dynamical systems model, which provides a continuous-time evolution of the firms’ product shipments and product quality levels. The stability analysis results are also presented, and a discrete-time version of the continuous-time adjustment process is constructed, which yields an algorithm with closed form expressions at each iteration. The algorithm is then utilized to compute solutions to several numerical examples. We also include sensitivity analysis results for minimum quality standards. The framework developed in this chapter can serve as the foundation for the modeling and analysis of competition among firms in industries ranging from food to pharmaceuticals to durable goods and high tech products, as well as Internet services, where quality and product differentiation are seminal.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Acharyya, R. (2005). Consumer targeting under quality competition in a liberalized vertically differentiated market. Journal of Economic Development, 30(1), 129–150.

    Google Scholar 

  • Anderson, S. P., & Palma, A. (2001). Product diversity in asymmetric oligopoly: Is the quality of consumer goods too low? The Journal of Industrial Economics, 49(2), 113–135.

    Article  Google Scholar 

  • Aoki, R. (1991). R&D competition for product innovation: An endless race. American Economic Review, 81(2), 252–256.

    Google Scholar 

  • Berndt, E. R., Bui, L., Reily, D. R., & Urban, G. L. (1995). Information, marketing, and pricing in the U.S. antiulcer drug market. The American Economic Review, 85(2), 100–105.

    Google Scholar 

  • Bernstein, J., & Nadiri, M. I. (1991). Product demand, cost of production, spillovers, and the social rate of return to R&D (NBER Working Paper No. 3625). Cambridge.

    Google Scholar 

  • Bischi, G. I., Chiarella, C., Kopel, M., & Szidarovsky, F. (2009). Nonlinear oligopolies: Stability and bifurcations. Berlin: Springer.

    Google Scholar 

  • Cohen, W. M., & Klepper, S. (1996). Firm size and the nature of innovation within industries: The case of process and product R&D. The Review of Economics and Statistics, 78(2), 232–243.

    Article  Google Scholar 

  • Cournot, A. A. (1838). Researches into the mathematical principles of the theory of wealth (English Trans.). London: MacMillan.

    Google Scholar 

  • Dafermos, S., & Nagurney, A. (1987). Oligopolistic and competitive behavior of spatially separated markets. Regional Science and Urban Economics, 17, 245–254.

    Article  Google Scholar 

  • D’Aspremont, C., Gabszewicz, J. J., & Thisse, J. F. (1979). On Hotelling’s “Stability in competition”. Econometrica, 47, 1145–1150.

    Article  Google Scholar 

  • Dixit, A. K., & Stiglitz, J. E. (1977). Monopolistic competition and optimum product diversity. American Economic Review, 67(3), 297–308.

    Google Scholar 

  • Dupuis, P., & Nagurney, A. (1993). Dynamical systems and variational inequalities. Annals of Operations Research, 44, 9–42.

    Article  Google Scholar 

  • Economides, N. (1989). Quality variations and maximal differentiation. Regional Science and Urban Economics, 19, 21–29.

    Article  Google Scholar 

  • Gabay, D., & Moulin, H. (1980). On the uniqueness and stability of Nash equilibria in noncooperative games. In A. Bensoussan, P. Kleindorfer, & C. S. Tapiero (Eds.), Applied stochastic control in econometrics and management science (pp. 271–294). Amsterdam: North-Holland.

    Google Scholar 

  • Holcombe, R. G. (2009). Product differentiation and economic progress. The Quarterly Journal of Austrian Economics, 12(1), 17–35.

    Google Scholar 

  • Hotelling, H. (1929). Stability in competition. The Economic Journal, 39(153), 41–57.

    Article  Google Scholar 

  • Johnson, J. P., & Myatt, D. P. (2003). Multiproduct quality competition: Fighting brands and product line pruning. American Economic Review, 93(3), 748–774.

    Article  Google Scholar 

  • Krantz, M. (2012, March 1). Microsoft, Intel, Google outspend Apple on R&D. USA Today. http://usatoday30.usatoday.com/money/perfi/columnist/krantz/story/2012-03-20/a-pple-marketing--research-and-development-spending/53673126/1

  • Lilien, G. L., & Yoon, E. (1990). The timing of competitive market entry: An exploratory study of new industrial products. Management Science, 36(5), 568–585.

    Article  Google Scholar 

  • Masoumi, A. H., Yu, M., & Nagurney, A. (2012). A supply chain generalized network oligopoly model for pharmaceuticals under brand differentiation and perishability. Transportation Research E, 48, 762–780.

    Article  Google Scholar 

  • Matsumoto, A., & Szidarovsky, F. (2011). Price and quantity competition in dynamic oligopolies with product differentiation. Revista Investigacion Operacional, 32(3), 204–219.

    Google Scholar 

  • Motta, M. (1993). Endogenous quality choice: Price vs. quantity competition. The Journal of Industrial Economics, 41(2), 113–131.

    Article  Google Scholar 

  • Nagurney, A. (1999). Network economics: A variational inequality approach (2nd and Rev. ed.). Boston: Kluwer Academic.

    Book  Google Scholar 

  • Nagurney, A., Dupuis, P., & Zhang, D. (1994). A dynamical systems approach for network oligopolies and variational inequalities. Annals of Regional Science, 28, 263–283.

    Article  Google Scholar 

  • Nagurney, A., & Li, D. (2014). A dynamic network oligopoly model with transportation costs, product differentiation, and quality competition. Computational Economics, 44(2), 201–229.

    Article  Google Scholar 

  • Nagurney, A., Yu, M., Masoumi, A. H., & Nagurney, L. S. (2013). Networks against time: Supply chain analytics for perishable products. New York: Springer.

    Book  Google Scholar 

  • Nagurney, A., & Zhang, D. (1996). Projected dynamical systems and variational inequalities with applications. Boston: Kluwer Academic.

    Book  Google Scholar 

  • Nash, J. F. (1950). Equilibrium points in n-person games. Proceedings of the National Academy of Sciences, USA, 36, 48–49.

    Google Scholar 

  • Nash, J. F. (1951). Noncooperative games. Annals of Mathematics, 54, 286–298.

    Article  Google Scholar 

  • Schumpeter, J. A. (1943). Capitalism, socialism and democracy (3rd ed.). London: George Allen and Unwin.

    Google Scholar 

  • Shankar, V., Carpenter G. S., & Krishnamurthi, L. (1998). Late mover advantage: How innovative late entrants outsell pioneers. Journal of Marketing Research, 35(1), 54–70.

    Article  Google Scholar 

  • Steiner, M., Bugen, D., Kazanchy, B., Knox, W., Prentice, M. V., & Goldfarb, L. S. (2007). The continuing evolution of the pharmaceutical industry: Career challenges and opportunities. Chatham: Regent Atlantic Capital, white paper.

    Google Scholar 

  • Yu, M., & Nagurney, A. (2013). Competitive food supply chain networks with application to fresh produce. European Journal of Operational Research, 224(2), 273–282.

    Article  Google Scholar 

  • Zhang, D., & Nagurney, A. (1995). On the stability of projected dynamical systems. Journal of Optimization Theory and Its Applications, 85, 97–124.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Nagurney, A., Li, D. (2016). Supply Chain Network Oligopolies with Product Differentiation. In: Competing on Supply Chain Quality. Springer Series in Supply Chain Management, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-25451-7_5

Download citation

Publish with us

Policies and ethics