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R&D for green technologies in a dynamic oligopoly: Schumpeter, Arrow and inverted-U’s


  • G. Feichtinger
  • L. Lambertini
  • G. Leitmann
  • S. Wrzaczek


We extend a well known differential oligopoly game to encompass the possibility for production to generate a negative environmental externality, regulated through Pigouvian taxation and price caps. We show that, if the price cap is set so as to fix the tolerable maximum amount of emissions, the resulting equilibrium investment in green R&D is indeed concave in the structure of the industry. Our analysis appears to indicate that inverted-U-shaped investment curves are generated by regulatory measures instead of being a ‘natural’ feature of firms’ decisions.

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  • G. Feichtinger & L. Lambertini & G. Leitmann & S. Wrzaczek, 2014. "R&D for green technologies in a dynamic oligopoly: Schumpeter, Arrow and inverted-U’s," Working Papers wp929, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp929

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    References listed on IDEAS

    1. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, Oxford University Press, vol. 120(2), pages 701-728.
    2. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    3. Benchekroun, Hassan & Van Long, Ngo, 2002. "On the multiplicity of efficiency-inducing tax rules," Economics Letters, Elsevier, vol. 76(3), pages 331-336, August.
    4. R. Cellini & L. Lambertini, 2001. "Advertising in a Differential Oligopoly Game," Working Papers 427, Dipartimento Scienze Economiche, Universita' di Bologna.
    5. Cellini, Roberto & Lambertini, Luca, 2009. "Dynamic R&D with spillovers: Competition vs cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 568-582, March.
    6. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
    7. 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.
    8. Schmutzler, Armin, 2010. "Is Competition Good for Innovation? A Simple Approach to an Unresolved Question," Foundations and Trends(R) in Microeconomics, now publishers, vol. 5(6), pages 355-428, August.
    9. Aghion, Philippe & Akcigit, Ufuk & Howitt, Peter, 2014. "What Do We Learn From Schumpeterian Growth Theory?," Handbook of Economic Growth,in: Handbook of Economic Growth, edition 1, volume 2, chapter 0, pages 515-563 Elsevier.
    10. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, July.
    11. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    12. Reinganum, Jennifer F., 1989. "The timing of innovation: Research, development, and diffusion," Handbook of Industrial Organization,in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 14, pages 849-908 Elsevier.
    13. R. Cellini & L. Lambertini, 2002. "Advertising with Spillover Effects in a Differential Oligopoly Game With Differentiated Goods," Working Papers 430, Dipartimento Scienze Economiche, Universita' di Bologna.
    14. Richard Gilbert, 2006. "Looking for Mr. Schumpeter: Where Are We in the Competition-Innovation Debate?," NBER Chapters,in: Innovation Policy and the Economy, Volume 6, pages 159-215 National Bureau of Economic Research, Inc.
    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. Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-676, September.
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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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