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Sequencing R&D Decisions in a Two-period Duopoly with Spillovers

Author

Listed:
  • Madjid Amir

    (University of Kalsruhe)

  • Rabah Amir

    (University of Southern Denmark)

  • Jim Jin

    (The Queen's University of Belfast)

Abstract

We compare simultaneous versus sequential moves in R&D decisions within an asymmetric R&D/Cournot model with linear demand (for differentiated products), general R&D costs, and spillovers. Simultaneous play and sequential play (with and without a specified leader) can emerge as appropriate formulations, depending on the ratios of spillover rate over demand cross-slope, but not on R&D efficiency. When at least one ratio is above ½, a sequential solution mitigates competition and leads to higher profits for each firm, and to higher social welfare. When uniquely specified, the stronger firm emerges as the R&D first-mover.

Suggested Citation

  • Madjid Amir & Rabah Amir & Jim Jin, 1999. "Sequencing R&D Decisions in a Two-period Duopoly with Spillovers," CIE Discussion Papers 1999-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    • Handle: RePEc:kud:kuieci:1999-06
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    Cited by:

    1. Marco A. Marini & Maria L. Petit & Roberta Sestini, 2014. "Strategic timing in R&D agreements," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 23(3), pages 274-303, April.
    2. Achim Hecker & Tobias Kretschmer, 2014. "Public R&D as a Standard-Setting Device," Industry and Innovation, Taylor & Francis Journals, vol. 21(7-8), pages 599-615, November.
    3. Evangelia Chalioti, 2015. "Incentive contracts under product market competition and R&D spillovers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 305-328, February.
    4. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.
    5. Tesoriere, Antonio, 2008. "Endogenous R&D symmetry in linear duopoly with one-way spillovers," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 213-225, May.
    6. Chu, Tong & Zhou, Wei, 2022. "Complex dynamics of R&D competition with one-way spillover based on intellectual property protection," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    7. Maria Luisa Petit & Francesca Sanna-Randaccio & Roberta Sestini, 2012. "R&D and foreign direct investment with asymmetric spillovers," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 21(2), pages 125-150, October.
    8. Chiara CONTI, 2013. "Asymmetric information in a duopoly with spillovers: new findings on the effects of RJVs," Departmental Working Papers 2013-04, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    9. Sang-Ho Lee & Timur K. Muminov, 2021. "Endogenous Timing of R&D Decisions and Privatization Policy with Research Spillovers," Journal of Industry, Competition and Trade, Springer, vol. 21(4), pages 505-525, December.
    10. Jan Vandekerckhove & Raymond De Bondt, 2008. "Asymmetric Spillovers And Investments In Research And Development Of Leaders And Followers," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 17(5), pages 417-433.
    11. TESORIERE, Antonio, 2005. "Endogenous R&D symmetry in linear duopoly with one-way spillovers," LIDAM Discussion Papers CORE 2005045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Cong Pan, 2018. "Firms’ timing of production with heterogeneous consumers," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 51(4), pages 1339-1362, November.
    13. Kretschmer, Tobias & Muehlfeld, Katrin, 2006. "Co-opetition and prelaunch in standard-setting for developing technologies," LSE Research Online Documents on Economics 19843, London School of Economics and Political Science, LSE Library.
    14. 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.
    15. Marco Marini & Giorgio Rodano, 2012. "Sequential vs Collusive Payoffs in Symmetric Duopoly Games," DIAG Technical Reports 2012-06, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
    16. Amir, Rabah, 2000. "Modelling imperfectly appropriable R&D via spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 1013-1032, October.
    17. 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.
    18. Kerstan, Sven & Kretschmer, Tobias & Muehlfeld, Katrin, 2012. "The dynamics of pre-market standardization," Information Economics and Policy, Elsevier, vol. 24(2), pages 105-119.
    19. Marco Marini & Giorgio Rodano, 2011. "Lead, Follow or Cooperate? Endogenous Timing & Cooperation in Symmetric Duopoly Games," Working Papers 1112, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2011.
    20. Chalioti, Evangelia & Serfes, Konstantinos, 2017. "Strategic incentives for innovations and market competition," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 427-449.
    21. Alain-Désiré Nimubona & Hassan Benchekroun, 2014. "Environmental R&D in the Presence of an Eco-Industry," Working Papers 1406, University of Waterloo, Department of Economics, revised Sep 2014.
    22. Kaiser, Ulrich, 2002. "An empirical test of models explaining research expenditures and research cooperation: evidence for the German service sector," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 747-774, June.
    23. Lee, Sang-Ho & Muminov, Timur, 2020. "R&D Spillovers and Welfare Effect of Privatization with an R&D Subsidy," MPRA Paper 99937, University Library of Munich, Germany.

    More about this item

    Keywords

    R&D spillovers; Cournot duopoly; subgame-perfect equilibrium; endogenous timing;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General

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