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Process and product innovation by a multiproduct monopolist: A dynamic approach

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  • Lambertini, Luca
  • Mantovani, Andrea

Abstract

We adopt a dynamic approach to model the behaviour of a multiproduct monopolist investing in process innovation, and either product differentiation, or product proliferation, or both. Irrespective of the number of activities appearing in the R&D portfolio, we prove that, depending on initial conditions, there may exists substitutability between process innovation and either form of product innovation along the optimal path towards the steady state, while in the latter only complementarity emerges. Looking at the threefold investment plan, we qualitatively characterise the ranking of R&D activities in terms of the consumer reservation price and the extent of the spectrum of varieties.

Suggested Citation

  • Lambertini, Luca & Mantovani, Andrea, 2009. "Process and product innovation by a multiproduct monopolist: A dynamic approach," International Journal of Industrial Organization, Elsevier, vol. 27(4), pages 508-518, July.
    • Handle: RePEc:eee:indorg:v:27:y:2009:i:4:p:508-518
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    1. Ping Lin, 2004. "Process and product R&D by a multiproduct monopolist," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 735-743, October.
    2. Susan Athey & Armin Schmutzler, 1995. "Product and Process Flexibility in an Innovative Environment," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 557-574, Winter.
    3. Sudipto Bhattacharya & Dilip Mookherjee, 1986. "Portfolio Choice in Research and Development," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 594-605, Winter.
    4. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 1998. "Standardization and the stability of collusion," Economics Letters, Elsevier, vol. 58(3), pages 303-310, March.
    5. Dasgupta, Partha & Maskin, Eric, 1987. "The Simple Economics of Research Portfolios," Economic Journal, Royal Economic Society, vol. 97(387), pages 581-595, September.
    6. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    7. Andrea Mantovani, 2006. "Complementarity between product and process innovation in a monopoly setting," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 15(3), pages 219-234.
    8. Rosenkranz, Stephanie, 2003. "Simultaneous choice of process and product innovation when consumers have a preference for product variety," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 183-201, February.
    9. Lambertini, Luca & Rossini, Gianpaolo, 1998. "Product homogeneity as a prisoner's dilemma in a duopoly with R&D," Economics Letters, Elsevier, vol. 58(3), pages 297-301, March.
    10. Lambertini, Luca & Orsini, Raimondello, 2000. "Process and product innovation in a vertically differentiated monopoly," Economics Letters, Elsevier, vol. 68(3), pages 333-337, September.
    11. Amir, R., 1996. "Cournot oligopoly and theory of supermodular games," LIDAM Reprints CORE 1228, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Bonanno, Giacomo & Haworth, Barry, 1998. "Intensity of competition and the choice between product and process innovation," International Journal of Industrial Organization, Elsevier, vol. 16(4), pages 495-510, July.
    13. Roberto Cellini & Luca Lambertini, 2004. "Private And Social Incentives Towards Investment In Product Differentiation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 493-508.
    14. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    15. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
    16. Luca Lambertini, 2003. "The monopolist's optimal R&D portfolio," Oxford Economic Papers, Oxford University Press, vol. 55(4), pages 561-578, October.
    17. Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August.
    18. Luca Lambertini, 2004. "Process and product R&D by a multiproduct monopolist: a reply to Lin," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 745-749, October.
    19. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    20. Ron Adner & Daniel Levinthal, 2001. "Demand Heterogeneity and Technology Evolution: Implications for Product and Process Innovation," Management Science, INFORMS, vol. 47(5), pages 611-628, May.
    21. Utterback, James M & Abernathy, William J, 1975. "A dynamic model of process and product innovation," Omega, Elsevier, vol. 3(6), pages 639-656, December.
    22. Lin, Ping & Saggi, Kamal, 2002. "Product differentiation, process R&D, and the nature of market competition," European Economic Review, Elsevier, vol. 46(1), pages 201-211, January.
    23. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December.
    24. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-414, May.
    25. Doraszelski, Ulrich, 2004. "Innovations, improvements, and the optimal adoption of new technologies," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1461-1480, April.
    26. Harrington Jr. , Joseph E., 1995. "Experimentation and Learning in a Differentiated-Products Duopoly," Journal of Economic Theory, Elsevier, vol. 66(1), pages 275-288, June.
    27. Cellini, Roberto & Lambertini, Luca, 2002. "A differential game approach to investment in product differentiation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 51-62, November.
    28. Klepper, Steven, 1996. "Entry, Exit, Growth, and Innovation over the Product Life Cycle," American Economic Review, American Economic Association, vol. 86(3), pages 562-583, June.
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