IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/91452.html
   My bibliography  Save this paper

Timing of R&D Decisions and Output Subsidies in a Mixed Duopoly with Spillovers

Author

Listed:
  • Lee, Sang-Ho
  • Muminov, Timur
  • Chen, Jiaqi

Abstract

This study considers a mixed duopoly with research spillovers and examines the interplay between firms’ R&D decisions and government’s output subsidies. We investigate and compare the timing of the game between ex-ante R&D and ex-post R&D decisions where the R&D decisions are chosen before the output subsidy is determined in the former case while the order is reversed in the latter case. We show that the equilibrium outcomes can be opposite between the two cases because both public and private firms have different objectives in choosing R&D investments, but the spillovers rate is a key factor that determines their incentives. In particular, we show that the output subsidy is smaller (larger) and the welfare is larger (smaller) under the ex-ante R&D decisions for a higher (lower) degree of spillovers rate. Finally, privatization increases the welfare in both cases only when spillovers rate is weak.

Suggested Citation

  • Lee, Sang-Ho & Muminov, Timur & Chen, Jiaqi, 2019. "Timing of R&D Decisions and Output Subsidies in a Mixed Duopoly with Spillovers," MPRA Paper 91452, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:91452
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/91452/1/MPRA_paper_91452.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    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. Lee, Sang-Ho & Muminov, Timur K. & Tomaru, Yoshihiro, 2017. "Partial Privatization And Subsidization In A Mixed Duopoly: R&D Versus Output Subsidies," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 58(2), pages 163-177, December.
    3. Beath, John & Poyago-Theotoky, Joanna & Ulph, David, 1998. "Organization Design and Information-Sharing in a Research Joint Venture with Spillovers," Bulletin of Economic Research, Wiley Blackwell, vol. 50(1), pages 47-59, January.
    4. Poyago-Theotoky, Joanna, 1995. "Equilibrium and Optimal Size of a Research Joint Venture in an Oligopoly with Spillovers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 209-226, June.
    5. Adam B. Jaffe & Manuel Trajtenberg & Rebecca Henderson, 1993. "Geographic Localization of Knowledge Spillovers as Evidenced by Patent Citations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 577-598.
    6. Wolfgang Keller, 2002. "Geographic Localization of International Technology Diffusion," American Economic Review, American Economic Association, vol. 92(1), pages 120-142, March.
    7. Wolfgang Keller, 2004. "International Technology Diffusion," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 752-782, September.
    8. repec:wly:soecon:v:82:2:y:2015:p:416-429 is not listed on IDEAS
    9. Vasileios Zikos, 2007. "A Reappraisal of the Irrelevance result in mixed duopoly: A note on R&D competition," Economics Bulletin, AccessEcon, vol. 12(8), pages 1-6.
    10. Xu, Lili & Lee, Sang-Ho & Matsumura, Toshihiro, 2017. "Ex-ante versus ex-post privatization policies with foreign penetration in free-entry mixed markets," International Review of Economics & Finance, Elsevier, vol. 50(C), pages 1-7.
    11. Xu, Lili & Lee, Sang-Ho, 2018. "The timing of environmental policies with excess burden of taxation in free-entry mixed markets," MPRA Paper 83560, University Library of Munich, Germany.
    12. Yannis Katsoutacos & David Ulph, 1998. "Endogenous Spillovers and the Performance of Research Joint Ventures," Journal of Industrial Economics, Wiley Blackwell, vol. 46(3), pages 333-357, September.
    13. Matsumura Toshihiro & Okumura Yasunori, 2017. "Privatization Neutrality Theorem in Free Entry Markets," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(2), pages 1-9, June.
    14. Poyago-Theotoky, Joanna & Teerasuwannajak, Khemarat, 2002. "The Timing of Environmental Policy: A Note on the Role of Product Differentiation," Journal of Regulatory Economics, Springer, vol. 21(3), pages 305-316, May.
    15. Lee, Sang-Ho & Tomaru, Yoshihiro, 2017. "Output and R&D subsidies in a mixed oligopoly," MPRA Paper 84410, University Library of Munich, Germany.
    16. Xu, Lili & Lee, Sang-Ho, 2018. "Environmental policies with excess burden of taxation in free-entry mixed markets," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 1-13.
    17. García, Arturo & Leal, Mariel & Lee, Sang-Ho, 2018. "Time-inconsistent environmental policies with a consumer-friendly firm: Tradable permits versus emission tax," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 523-537.
    18. Toshihiro Matsumura & Yoshihiro Tomaru, 2013. "Mixed duopoly, privatization, and subsidization with excess burden of taxation," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 46(2), pages 526-554, May.
    19. Kesavayuth, Dusanee & Zikos, Vasileios, 2013. "R&D versus output subsidies in mixed markets," Economics Letters, Elsevier, vol. 118(2), pages 293-296.
    20. Shoji Haruna & Rajeev K. Goel, 2017. "Output subsidies in mixed oligopoly with research spillovers," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 41(2), pages 235-256, April.
    21. repec:bla:jindec:v:46:y:1998:i:3:p:333-57 is not listed on IDEAS
    22. Sang-Ho Lee & Toshihiro Matsumura & Susumu Sato, 2018. "An analysis of entry-then-privatization model: welfare and policy implications," Journal of Economics, Springer, vol. 123(1), pages 71-88, January.
    23. Matsumura, Toshihiro & Okumura, Yasunori, 2013. "Privatization neutrality theorem revisited," Economics Letters, Elsevier, vol. 118(2), pages 324-326.
    24. Moner-Colonques, R. & Rubio, S., 2015. "The timing of environmental policy in a duopolistic market," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 15(01).
    25. Poyago-Theotoky, Joanna, 1998. "R&D Competition in a Mixed Duopoly under Uncertainty and Easy Imitation," Journal of Comparative Economics, Elsevier, vol. 26(3), pages 415-428, September.
    26. Dusanee Kesavayuth & Sang-Ho Lee & Vasileios Zikos, 2018. "Merger and Innovation Incentives in a Differentiated Industry," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 25(2), pages 207-221, May.
    27. Delbono, Flavio & Denicolo, Vincenzo, 1993. "Regulating innovative activity : The role of a public firm," International Journal of Industrial Organization, Elsevier, vol. 11(1), pages 35-48, March.
    28. Lian, Xubei & Gong, Qiang & Wang, Leonard F.S., 2018. "Consumer awareness and ex-ante versus ex-post environmental policies revisited," International Review of Economics & Finance, Elsevier, vol. 55(C), pages 68-77.
    29. Marc Escrihuela-Villar & Carlos Gutiérrez-Hita, 2019. "On competition and welfare enhancing policies in a mixed oligopoly," Journal of Economics, Springer, vol. 126(3), pages 259-274, April.
    30. Sang-Ho Lee, 1998. "R&D Spillovers, Technology Cartel, and Monopoly Regulation," International Economic Journal, Taylor & Francis Journals, vol. 12(3), pages 77-88.
    31. Maria José Gil-Moltó & Joanna Poyago-Theotoky & Vasileios Zikos, 2011. "R&D Subsidies, Spillovers, and Privatization in Mixed Markets," Southern Economic Journal, John Wiley & Sons, vol. 78(1), pages 233-255, July.
    32. Leal, Mariel & Garcia, Arturo & Lee, Sang-Ho, 2018. "The Timing Of Environmental Tax Policy With A Consumer-Friendly Firm," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 59(1), pages 25-43, June.
    33. Joanna Poyago-Theotoky, 1999. "A Note on Endogenous Spillovers in a Non-Tournament R & D Duopoly," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 15(3), pages 253-262, November.
    34. Lee, Sang-Ho & Muminov, Timur, 2017. "R&D Output Sharing in a Mixed Duopoly and Incentive Subsidy Policy," MPRA Paper 81732, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    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. Lee, Sang-Ho & Muminov, Timur, 2017. "R&D Output Sharing in a Mixed Duopoly and Incentive Subsidy Policy," MPRA Paper 81732, University Library of Munich, Germany.
    2. Sang‐Ho Lee & Timur K. Muminov, 2021. "R&D Information sharing in a mixed duopoly and incentive subsidy for research joint venture competition," Bulletin of Economic Research, Wiley Blackwell, vol. 73(2), pages 154-170, April.
    3. Jiaqi Chen & Sang‐Ho Lee & Timur K. Muminov, 2022. "R&D spillovers, output subsidies, and privatization in a mixed duopoly: Flexible versus irreversible R&D investments," Bulletin of Economic Research, Wiley Blackwell, vol. 74(3), pages 879-899, July.
    4. Chen, Jiaqi & Lee, Sang-Ho, 2020. "Endogenous timing game with R&D decisions and output subsidies," MPRA Paper 99503, University Library of Munich, Germany.
    5. Jiaqi Chen & Sang-Ho Lee & Timur K. Muminov, 2021. "Welfare-reducing discriminatory output subsidies with mixed ownership and R&D," Economics Bulletin, AccessEcon, vol. 41(3), pages 1592-1602.
    6. 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.
    7. Chen, Jiaqi & Lee, Sang-ho & Muminov, Timur K., 2019. "Time-inconsistent Output Subsidy/Tax Policies in Free-entry Mixed Markets," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 60(1), pages 61-77, June.
    8. Lee, Sang-Ho & Muminov, Timur K. & Tomaru, Yoshihiro, 2017. "Partial Privatization And Subsidization In A Mixed Duopoly: R&D Versus Output Subsidies," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 58(2), pages 163-177, December.
    9. Lee, Sang-Ho & Muminov, Timur, 2020. "Partial privatization and subsidization in a time-consistent policy: output versus R&D subsidies," MPRA Paper 99861, University Library of Munich, Germany.
    10. Lee, Sang-Ho & Park, Chul-Hi, 2020. "Environmental Regulations in Private and Mixed Duopolies: Emission Taxes versus Green R&D Subsidies," MPRA Paper 98833, University Library of Munich, Germany.
    11. Jiaqi Chen & Sang‐Ho Lee, 2023. "Cournot–Bertrand comparisons under R&D competition: Output versus R&D subsidies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(1), pages 77-100, March.
    12. Xu, Lili & Lee, Sang-Ho, 2020. "Strategic Relations between Corporate Social Responsibility and Partial Privatization Policy with Foreign Penetration," MPRA Paper 100770, University Library of Munich, Germany.
    13. García, Arturo & Leal, Mariel & Lee, Sang-Ho, 2018. "Time-inconsistent environmental policies with a consumer-friendly firm: Tradable permits versus emission tax," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 523-537.
    14. Xu, Lili & Chen, Yuyan & Lee, Sang-Ho, 2022. "Emission tax and strategic environmental corporate social responsibility in a Cournot–Bertrand comparison," Energy Economics, Elsevier, vol. 107(C).
    15. Lili Xu & Fanrui Su & Sang-Ho Lee, 2023. "Strategic corporate social responsibility and partial privatization policy with foreign penetration," The Japanese Economic Review, Springer, vol. 74(2), pages 251-278, April.
    16. Dusanee Kesavayuth & Sang-Ho Lee & Vasileios Zikos, 2018. "Merger and Innovation Incentives in a Differentiated Industry," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 25(2), pages 207-221, May.
    17. 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.
    18. Seung-Leul Kim & Sang-Ho Lee & Toshihiro Matsumura, 2019. "Corporate social responsibility and privatization policy in a mixed oligopoly," Journal of Economics, Springer, vol. 128(1), pages 67-89, September.
    19. Mariel Leal & Arturo Garcia & Sang‐Ho Lee, 2019. "Excess Burden of Taxation and Environmental Policy Mix with a Consumer‐Friendly Firm," The Japanese Economic Review, Japanese Economic Association, vol. 70(4), pages 517-536, December.
    20. Mariel Leal & Arturo García & Sang-Ho Lee, 2021. "Sequencing R&D decisions with a consumer-friendly firm and spillovers," The Japanese Economic Review, Springer, vol. 72(2), pages 243-260, April.

    More about this item

    Keywords

    Mixed duopoly; Research spillovers; Ex-ante R&D; Ex-post R&D; Output subsidy;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L32 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Public Enterprises; Public-Private Enterprises

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:91452. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.