IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v73y2016icp453-457.html
   My bibliography  Save this article

Dynamic R&D with spillovers: A comment

Author

Listed:
  • Smrkolj, Grega
  • Wagener, Florian

Abstract

Cellini and Lambertini [2009. Dynamic R&D with spillovers: competition vs cooperation. J. Econ. Dyn. Control 33, 568–582] study a dynamic R&D game with spillovers. This comment demonstrates that, contrary to what is claimed in their paper, the game is not state redundant and the open-loop Nash equilibrium is not subgame perfect.

Suggested Citation

  • Smrkolj, Grega & Wagener, Florian, 2016. "Dynamic R&D with spillovers: A comment," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 453-457.
    • Handle: RePEc:eee:dyncon:v:73:y:2016:i:c:p:453-457
    DOI: 10.1016/j.jedc.2016.10.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188916301774
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jedc.2016.10.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. d'Aspremont, Claude & Jacquemin, Alexis, 1988. "Cooperative and Noncooperative R&D in Duopoly with Spillovers," American Economic Review, American Economic Association, vol. 78(5), pages 1133-1137, December.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Smrkolj, Grega & Wagener, Florian, 2019. "Research among copycats: R&D, spillovers, and feedback strategies," International Journal of Industrial Organization, Elsevier, vol. 65(C), pages 82-120.
    2. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2017. "Research and Development Cooperatives and Market Collusion: A Global Dynamic Approach," Journal of Optimization Theory and Applications, Springer, vol. 174(2), pages 567-612, August.
    3. Masahiko Hattori & Yasuhito Tanaka, 2022. "Dynamic analysis of R&D in an oligopoly under general demand and cost functions," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 694-710, June.
    4. Masahiko Hattori & Yasuhito Tanaka, 2021. "Advertising in an oligopoly with differentiated goods under general demand and cost functions: A differential game approach," Manchester School, University of Manchester, vol. 89(6), pages 619-639, December.
    5. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2016. "R&D Cooperatives and Market Collusion: A Global Dynamic Approach," Tinbergen Institute Discussion Papers 16-048/II, Tinbergen Institute.
    6. Jiafeng Gu, 2021. "Determinants of biopharmaceutical R&D expenditures in China: the impact of spatiotemporal context," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(8), pages 6659-6680, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    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. 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.
    4. Jeroen Hinloopen & Grega Smrkolj & Florian Wagener, 2016. "R&D Cooperatives and Market Collusion: A Global Dynamic Approach," Tinbergen Institute Discussion Papers 16-048/II, Tinbergen Institute.
    5. D. Dragone & L. Lambertini & G. Leitmann & A. Palestini, 2008. "Hamiltonian potential functions for differential games," Working Papers 644, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Ishikawa, Nana & Shibata, Takashi, 2021. "R&D competition and cooperation with asymmetric spillovers in an oligopoly market," International Review of Economics & Finance, Elsevier, vol. 72(C), pages 624-642.
    7. Chen, Kehong & Fan, Yiming, 2025. "Selection of R&D techniques: The influence of spillover effects and government subsidies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 194(C).
    8. Masahiko Hattori & Yasuhito Tanaka, 2019. "General analysis of dynamic oligopoly with sticky price," Economics Bulletin, AccessEcon, vol. 39(4), pages 2990-2998.
    9. Grunfeld, Leo A., 2003. "Meet me halfway but don't rush: absorptive capacity and strategic R&D investment revisited," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1091-1109, October.
    10. Prokop, Jacek & Karbowski, Adam, 2013. "R&D cooperation and industry cartelization," Economics Discussion Papers 2013-41, Kiel Institute for the World Economy (IfW Kiel).
    11. Jérôme Dollinger & Ana Mauleon & Vincent Vannetelbosch, 2024. "R &d and market sharing agreements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 877-922, November.
    12. Cassiman, Bruno & Perez-Castrillo, David & Veugelers, Reinhilde, 2002. "Endogenizing know-how flows through the nature of R&D investments," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 775-799, June.
    13. Frey, Rainer & Hussinger, Katrin, 2006. "The role of technology in M&As: a firm-level comparison of cross-border and domestic deals," Discussion Paper Series 1: Economic Studies 2006,45, Deutsche Bundesbank.
    14. Bertrand, Olivier & Zuniga, Pluvia, 2006. "R&D and M&A: Are cross-border M&A different? An investigation on OECD countries," International Journal of Industrial Organization, Elsevier, vol. 24(2), pages 401-423, March.
    15. Levy, Nadav, 2012. "Technology sharing and tacit collusion," International Journal of Industrial Organization, Elsevier, vol. 30(2), pages 204-216.
    16. Rajeev K. Goel, 2023. "Seek foreign funds or technology? Relative impacts of different spillover modes on innovation," The Journal of Technology Transfer, Springer, vol. 48(4), pages 1466-1488, August.
    17. Long, Jianjun & Wang, Fenglian, 2024. "Complexity of a two-stage R&D game within a cluster supply chain considering vertical R&D spillovers, effective information, and government subsidies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 221(C), pages 606-621.
    18. Banal-Estañol, Albert & Duso, Tomaso & Seldeslachts, Jo & Szücs, Florian, 2022. "R&D Spillovers through RJV Cooperation," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 51(4), pages 1-10.
    19. Colombo, Massimo G. & Garrone, Paola, 1998. "Common carriers' entry into multimedia services," Information Economics and Policy, Elsevier, vol. 10(1), pages 77-105, March.
    20. Beck, Mathias & Junge, Martin & Kaiser, Ulrich, 2017. "Public Funding and Corporate Innovation," IZA Discussion Papers 11196, Institute of Labor Economics (IZA).

    More about this item

    Keywords

    Differential games; Process innovation; Spillovers;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • 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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:73:y:2016:i:c:p:453-457. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.