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Output and R&D subsidies in a mixed oligopoly

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  • Lee, Sang-Ho
  • Tomaru, Yoshihiro

Abstract

We analyze an oligopoly where public and private firms compete in quantity and R&D. Using general functions, we show that an output subsidy and an R&D tax can achieve the first-best allocation. Moreover, the degree of privatization does not influence the optimal output subsidy but does influence the optimal R&D tax.

Suggested Citation

  • Lee, Sang-Ho & Tomaru, Yoshihiro, 2017. "Output and R&D subsidies in a mixed oligopoly," MPRA Paper 84410, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:84410
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    References listed on IDEAS

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    1. Kato, Kazuhiko & Tomaru, Yoshihiro, 2007. "Mixed oligopoly, privatization, subsidization, and the order of firms' moves: Several types of objectives," Economics Letters, Elsevier, vol. 96(2), pages 287-292, August.
    2. 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.
    3. White, Mark D., 1996. "Mixed oligopoly, privatization and subsidization," Economics Letters, Elsevier, vol. 53(2), pages 189-195, November.
    4. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    5. 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.
    6. Fjell, Kenneth & Heywood, John S., 2004. "Mixed oligopoly, subsidization and the order of firm's moves: the relevance of privatization," Economics Letters, Elsevier, vol. 83(3), pages 411-416, June.
    7. Kesavayuth, Dusanee & Zikos, Vasileios, 2013. "R&D versus output subsidies in mixed markets," Economics Letters, Elsevier, vol. 118(2), pages 293-296.
    8. Matsumura, Toshihiro & Okumura, Yasunori, 2013. "Privatization neutrality theorem revisited," Economics Letters, Elsevier, vol. 118(2), pages 324-326.
    9. Yoshihiro Tomaru & Masayuki Saito, 2010. "Mixed Duopoly, Privatization And Subsidization In An Endogenous Timing Framework," Manchester School, University of Manchester, vol. 78(1), pages 41-59, January.
    10. 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.
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    Citations

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    Cited by:

    1. Arturo Garcia & Mariel Leal & Sang-Ho Lee, 2018. "Optimal policy mix in an endogenous timing with a consumer-friendly public firm," Economics Bulletin, AccessEcon, vol. 38(3), pages 1438-1445.
    2. Toshihiro Matsumura & Akira Ogawa, 2017. "Endogenous Timing in Mixed Duopolies With Externality," Australian Economic Papers, Wiley Blackwell, vol. 56(4), pages 304-327, December.
    3. 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.
    4. Haraguchi, Junichi & Matsumura, Toshihiro, 2017. "Firms' Costs, Profits, Entries, and Innovation under Optimal Privatization Policy," MPRA Paper 80927, University Library of Munich, Germany.
    5. Li, Mingzhi & Lien, Jaimie W. & Zheng, Jie, 2021. "Optimal subsidies in the competition between private and state-owned enterprises," International Review of Economics & Finance, Elsevier, vol. 76(C), pages 1235-1244.
    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. 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.
    8. Pu‐yan Nie & Yong‐cong Yang, 2020. "Cost‐reduction innovation under mixed economy," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(7), pages 1195-1201, October.
    9. 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.
    10. Garcia, Arturo & Leal, Mariel & Lee, Sang-Ho, 2018. "A new irrelevance result in an endogenous timing with a consumer-friendly public firm," MPRA Paper 85648, University Library of Munich, Germany.
    11. 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.
    12. Xingtang Wang & Leonard F. S. Wang, 2022. "Corporate social responsibility, vertical product differentiation, and privatization policy," The Japanese Economic Review, Springer, vol. 73(2), pages 403-425, April.
    13. Xu, Lili & Lee, Sang-Ho, 2024. "Endogenous competition with an integrated public utility firm under an output subsidy policy," Utilities Policy, Elsevier, vol. 87(C).
    14. 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.
    15. 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.
    16. Xu, Lili & Zhao, Qinghong & Chen, Yuyan & Lee, Sang-Ho, 2023. "Post privatization of high-speed rail with corporate social responsibility (CSR) in an international transportation market: Mandatory CSR versus voluntary CSR," Economics of Transportation, Elsevier, vol. 35(C).
    17. 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.
    18. 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.
    19. Ali Dadpay, 2020. "An Analysis of Fuel Smuggling in the Middle East as a Single Multinational Market," Journal of Industry, Competition and Trade, Springer, vol. 20(4), pages 643-656, December.
    20. 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.
    21. Gil-Moltó, Maria José & Poyago-Theotoky, Joanna & Rodrigues-Neto, José A. & Zikos, Vasileios, 2020. "Mixed oligopoly, cost-reducing research and development, and privatisation," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1094-1106.
    22. 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.
    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.
    24. 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.

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    More about this item

    Keywords

    R&D subsidy; Output subsidy; Mixed oligopoly; Partial privatization;
    All these keywords.

    JEL classification:

    • H2 - Public Economics - - Taxation, Subsidies, and Revenue
    • L3 - Industrial Organization - - Nonprofit Organizations and Public Enterprise

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