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

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

Abstract

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.

Suggested Citation

  • 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

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    1. Gilbert Richard J, 2006. "Competition and Innovation," Journal of Industrial Organization Education, De Gruyter, vol. 1(1), pages 1-23, December.
    2. 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.
    3. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    4. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 701-728.
    5. 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.
    6. Xavier Vives, 2008. "Innovation And Competitive Pressure," Journal of Industrial Economics, Wiley Blackwell, vol. 56(3), pages 419-469, December.
    7. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    8. 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.
    9. Aghion, Philippe & Akcigit, Ufuk & Howitt, Peter, 2014. "What Do We Learn From Schumpeterian Growth Theory?," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 0, pages 515-563, Elsevier.
    10. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    11. 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.
    12. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
    13. 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.
    14. Benchekroun, Hassan & Van Long, Ngo, 2002. "On the multiplicity of efficiency-inducing tax rules," Economics Letters, Elsevier, vol. 76(3), pages 331-336, August.
    15. R. Cellini & L. Lambertini, 2003. "Advertising in a Differential Oligopoly Game," Journal of Optimization Theory and Applications, Springer, vol. 116(1), pages 61-81, January.
    16. 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.
    17. 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.
    18. 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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    Cited by:

    1. Dragone, Davide & Lambertini, Luca & Palestini, Arsen, 2022. "Emission taxation, green innovations and inverted-U aggregate R&D efforts in a linear state differential game," Research in Economics, Elsevier, vol. 76(1), pages 62-68.
    2. Hao Xu & Ming Luo, 2022. "Optimal Environmental Policy in a Dynamic Transboundary Pollution Game: Emission Standards, Taxes, and Permit Trading," Sustainability, MDPI, vol. 14(15), pages 1-25, July.
    3. Yenipazarli, Arda, 2019. "Incentives for environmental research and development: Consumer preferences, competitive pressure and emissions taxation," European Journal of Operational Research, Elsevier, vol. 276(2), pages 757-769.
    4. Zolfagharinia, Hossein & Zangiabadi, Maryam & Hafezi, Maryam, 2023. "How much is enough? Government subsidies in supporting green product development," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1316-1333.
    5. Feichtinger, Gustav & Lambertini, Luca & Leitmann, George & Wrzaczek, Stefan, 2022. "Managing the tragedy of commons and polluting emissions: A unified view," European Journal of Operational Research, Elsevier, vol. 303(1), pages 487-499.
    6. Ni, Jian & Huang, Hongzhi & Wang, Peipei & Zhou, Wei, 2020. "Capacity investment and green R&D in a dynamic oligopoly under the potential shift in environmental damage," Economic Modelling, Elsevier, vol. 88(C), pages 312-319.
    7. Bertrand Crettez & Naila Hayek & Peter M. Kort, 2021. "A Dynamic Multi-Objective Duopoly Game with Capital Accumulation and Pollution," Mathematics, MDPI, vol. 9(16), pages 1-34, August.
    8. Jason M. Walter, 2018. "Understanding the dynamics of clean technology: implications for policy and industry," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 20(2), pages 365-386, April.
    9. Wenwen Wang & Linzhao Xue & Ming Zhang, 2023. "Research on environmental regulation behavior among local government, enterprises, and consumers from the perspective of dynamic cost of enterprises," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(1), pages 917-937, January.
    10. Xin, Baogui & Sun, Minghe, 2018. "A differential oligopoly game for optimal production planning and water savings," European Journal of Operational Research, Elsevier, vol. 269(1), pages 206-217.

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    More about this item

    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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