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Private and Social Incentives Towards Investment in Product Differentiation

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  • R. Cellini
  • L. Lambertini

Abstract

We consider a dynamic oligopoly where firms invest to increase product differentiation and an externality effect operates in the R&D activity. We compare the steady state solutions under alternative decision rules, namely, the open-loop and the closed-loop Nash equilibrium. Significant differences emerge, concerning the effect of the number of firms upon the optimal degree o product differentiation. We also compare the private optima with the social optimum, and derive implications concerning the social desirability of different decision rules.

Suggested Citation

  • R. Cellini & L. Lambertini, 2002. "Private and Social Incentives Towards Investment in Product Differentiation," Working Papers 431, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:431
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    References listed on IDEAS

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    1. Curtis Eaton, B. & Lipsey, Richard G., 1989. "Product differentiation," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 12, pages 723-768, Elsevier.
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    6. Cellini, Roberto & Lambertini, Luca, 1998. "A Dynamic Model of Differentiated Oligopoly with Capital Accumulation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 145-155, November.
    7. 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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    10. Kenneth Arrow, 1962. "Economic Welfare and the Allocation of Resources for Invention," NBER Chapters, in: The Rate and Direction of Inventive Activity: Economic and Social Factors, pages 609-626, National Bureau of Economic Research, Inc.
    11. 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.
    12. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
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    Cited by:

    1. Luca Lambertini, 2009. "Optimal Product Proliferation in Monopoly: A Dynamic Analysis," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 1(1), pages 80-97, September.
    2. Luca Lambertini & Andrea Mantovani, 2010. "Process and product innovation: A differential game approach to product life cycle," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(2), pages 227-252, June.
    3. De Giovanni, Pietro & Zaccour, Georges, 2023. "A survey of dynamic models of product quality," European Journal of Operational Research, Elsevier, vol. 307(3), pages 991-1007.
    4. 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.
    5. R. Cellini & L. Lambertini, 2005. "R&D Incentives and Market Structure: Dynamic Analysis," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 85-96, July.
    6. Guido Candela & Roberto Cellini, 2006. "Investment in Tourism Market: A Dynamic Model of Differentiated Oligopoly," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 35(1), pages 41-58, September.
    7. Steffen Jørgensen & Georges Zaccour, 2007. "Developments in differential game theory and numerical methods: economic and management applications," Computational Management Science, Springer, vol. 4(2), pages 159-181, April.
    8. Roberto Cellini & Luca Lambertini, 2011. "R&D Incentives Under Bertrand Competition: A Differential Game," The Japanese Economic Review, Japanese Economic Association, vol. 62(3), pages 387-400, September.

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    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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