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Process and Product Innovation by a Multiproduct Monopolist: A Dynamic Approach

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  • L. Lambertini
  • A. Mantovani

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.

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Paper provided by Dipartimento Scienze Economiche, Universita' di Bologna in its series Working Papers with number 551.

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Date of creation: 2005
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Handle: RePEc:bol:bodewp:551

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  1. Sudipto Bhattacharya and Dilip Mookherhee., 1984. "Portfolio Choice in Research and Development," Research Program in Finance Working Papers 147, University of California at Berkeley.
  2. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
  3. A. Mantovani, 2005. "Complementarity between Product and Process innovation in a Monopoly Setting," Working Papers 533, Dipartimento Scienze Economiche, Universita' di Bologna.
  4. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  5. Lambertini, Luca & Poddar, Sougata & Sasaki, Dan, 1998. "Standardization and the stability of collusion," Economics Letters, Elsevier, vol. 58(3), pages 303-310, March.
  6. Utterback, James M & Abernathy, William J, 1975. "A dynamic model of process and product innovation," Omega, Elsevier, vol. 3(6), pages 639-656, December.
  7. 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.
  8. 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.
  9. Spence, Michael, 1976. "Product Differentiation and Welfare," American Economic Review, American Economic Association, vol. 66(2), pages 407-14, May.
  10. 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.
  11. L. Lambertini & R. Orsini, 2000. "Process and Product Innovation in a Vertically Differentiated Monoply," Working Papers 367, Dipartimento Scienze Economiche, Universita' di Bologna.
  12. 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.
  13. AMIR , Rabah, 1995. "Continuous Stochastic Games of Capital Accumulation with Convex Transition," CORE Discussion Papers 1995009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Klepper, Steven, 1996. "Entry, Exit, Growth, and Innovation over the Product Life Cycle," American Economic Review, American Economic Association, vol. 86(3), pages 562-83, June.
  15. 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.
  16. 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.
  17. 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.
  18. Curtat, Laurent O., 1996. "Markov Equilibria of Stochastic Games with Complementarities," Games and Economic Behavior, Elsevier, vol. 17(2), pages 177-199, December.
  19. 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.
  20. Dasgupta, Partha & Maskin, Eric, 1987. "The Simple Economics of Research Portfolios," Economic Journal, Royal Economic Society, vol. 97(387), pages 581-95, September.
  21. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  22. 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.
  23. 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.
  24. 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.
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Citations

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Cited by:
  1. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," Tinbergen Institute Discussion Papers 13-045/II, Tinbergen Institute, revised 04 Mar 2014.
  2. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2011. "From Mind to Market: A Global, Dynamic Analysis of R&D," Tinbergen Institute Discussion Papers 11-139/1, Tinbergen Institute.
  3. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2011. "From Mind to Market: A Global, Dynamic Analysis of R&D," Tinbergen Institute Discussion Papers 11-139/1, Tinbergen Institute.
  4. Irlacher, Michael, 2014. "Multi-Product Firms, Endogenous Sunk Costs, and Gains from Trade through Intra-Firm Adjustments," Discussion Papers in Economics 21023, University of Munich, Department of Economics.
  5. Régis Chenavaz, 2011. "Dynamic pricing rule and R&D," Economics Bulletin, AccessEcon, vol. 31(3), pages 2229-2236.
  6. L. Lambertini & R. Orsini, 2014. "Process Innovation and Product Quality Improvement in a Dynamic Monopoly," Working Papers wp926, Dipartimento Scienze Economiche, Universita' di Bologna.
  7. Chenavaz, Régis, 2012. "Dynamic pricing, product and process innovation," European Journal of Operational Research, Elsevier, vol. 222(3), pages 553-557.
  8. Saha, Souresh, 2014. "Firm's objective function and product and process R&D," Economic Modelling, Elsevier, vol. 36(C), pages 484-494.
  9. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," Tinbergen Institute Discussion Papers 13-045/II, Tinbergen Institute, revised 04 Mar 2014.

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