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Open Innovation in a Dynamic Cournot Duopoly

Author

Listed:
  • I. Hasnas
  • L. Lambertini
  • A. Palestini
Abstract
We analyze an Open Innovation process in a Cournot duopoly using a differential game approach 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.

Suggested Citation

  • I. Hasnas & L. Lambertini & A. Palestini, 2011. "Open Innovation in a Dynamic Cournot Duopoly," Working Papers wp753, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:wp753
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    References listed on IDEAS

    as
    1. André Spithoven & Peter Teirlinck & Dirk Frantzen, 2012. "Managing Open Innovation," Books, Edward Elgar Publishing, number 14723.
    2. Josh Lerner & Jean Tirole, 2002. "Some Simple Economics of Open Source," Journal of Industrial Economics, Wiley Blackwell, vol. 50(2), pages 197-234, June.
    3. Dahlander, Linus & Gann, David M., 2010. "How open is innovation?," Research Policy, Elsevier, vol. 39(6), pages 699-709, July.
    4. 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.
    5. Suzanne Scotchmer, 2010. "Openness, Open Source, and the Veil of Ignorance," American Economic Review, American Economic Association, vol. 100(2), pages 165-171, May.
    6. Jaffe, Adam B, 1986. "Technological Opportunity and Spillovers of R&D: Evidence from Firms' Patents, Profits, and Market Value," American Economic Review, American Economic Association, vol. 76(5), pages 984-1001, December.
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    8. A. Spithoven & B. Clarysse & M. Knockaert, 2009. "Building Absorptive Capacity to Organise Inbound Open Innovation in Low Tech Industries," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 09/606, Ghent University, Faculty of Economics and Business Administration.
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    15. Piercarlo Zanchettin, 2006. "Differentiated Duopoly with Asymmetric Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 999-1015, December.
    16. Llanes, Gastón & de Elejalde, Ramiro, 2013. "Industry equilibrium with open-source and proprietary firms," International Journal of Industrial Organization, Elsevier, vol. 31(1), pages 36-49.
    17. Caulkins, Jonathan P. & Feichtinger, Gustav & Grass, Dieter & Hartl, Richard F. & Kort, Peter M. & Seidl, Andrea, 2013. "When to make proprietary software open source," Journal of Economic Dynamics and Control, Elsevier, vol. 37(6), pages 1182-1194.
    18. Boris Lokshin & René Belderbos & Martin Carree, 2008. "The Productivity Effects of Internal and External R&D: Evidence from a Dynamic Panel Data Model," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(3), pages 399-413, June.
    19. Fu, Xiaolan, 2012. "How does openness affect the importance of incentives for innovation?," Research Policy, Elsevier, vol. 41(3), pages 512-523.
    20. 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.
    21. Drechsler, Wenzel & Natter, Martin, 2012. "Understanding a firm's openness decisions in innovation," Journal of Business Research, Elsevier, vol. 65(3), pages 438-445.
    22. 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.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    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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    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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