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Open Innovation in a dynamic Cournot duopoly

Author

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  • Hasnas, Irina
  • Lambertini, Luca
  • Palestini, Arsen
Abstract
In recent years Open Innovation (OI) processes have been receiving growing attention from the empirical and theoretical economic literature, where a debate is taking place on the aspects of complementarity or substitutability between internal R&D and OI spillover. By means of a differential game approach, we analyze the case of substitutability in an OI setup in a Cournot duopoly where knowledge spillovers are endogenously determined via the R&D process. The game produces multiple steady states, allowing for an asymmetric solution where a firm may trade off the R&D investment against information absorption from the rival. The technical analysis and the numerical simulations point out that the firm which commits to a higher level of OI absorption produces a smaller output and enjoys higher profits than its rival.

Suggested Citation

  • Hasnas, Irina & Lambertini, Luca & Palestini, Arsen, 2014. "Open Innovation in a dynamic Cournot duopoly," Economic Modelling, Elsevier, vol. 36(C), pages 79-87.
    • Handle: RePEc:eee:ecmode:v:36:y:2014:i:c:p:79-87
    DOI: 10.1016/j.econmod.2013.09.020
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    Cited by:

    1. 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.
    2. Luigi Balletta & Antonio Tesoriere, 2020. "Cumulative innovation, open source, and distance to frontier," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(6), pages 1875-1920, December.
    3. Murat Yılmaz, 2022. "Coexistence of proprietary and open‐source firms under product differentiation," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(8), pages 4153-4166, December.
    4. Qiuxiang Li & Xingli Chen & Yimin Huang & Huangbao Gui & Shengyang Liu, 2019. "The Impacts of Green Innovation Input and Channel Service in a Dual-Channel Value Chain," IJERPH, MDPI, vol. 16(22), pages 1-26, November.
    5. Tesoriere, Antonio & Balletta, Luigi, 2017. "A dynamic model of open source vs proprietary R&D," European Economic Review, Elsevier, vol. 94(C), pages 221-239.
    6. Maria Caterina Bramati & Arsen Palestini & Mauro Rota, 2016. "Effects of Law-Enforcement Efficiency and Duration of Trials in an Oligopolistic Competition Among Fair and Unfair Firms," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 650-669, August.
    7. M. Y. Jumba & Y. S. Haruna & U. O. Aliyu & A. L. Amao, 2024. "Application of Games Theory in Modelling of Nigerian Electricity Market," International Journal of Research and Scientific Innovation, International Journal of Research and Scientific Innovation (IJRSI), vol. 11(5), pages 1129-1140, May.

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    More about this item

    Keywords

    R&D; Spillovers; Dynamic games;
    All these keywords.

    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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