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Cournot–Bertrand comparisons under R&D competition: Output versus R&D subsidies

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  • Jiaqi Chen
  • Sang‐Ho Lee

Abstract

We compare Cournot and Bertrand competitions with R&D investment under output versus R&D subsidy policies. We demonstrate that Cournot firms invest more (less) in R&D and the government grants more (less) subsidies than for Bertrand firms with output (R&D) subsidies. We also find that both competition modes yield the same welfare with output subsidy, while Bertrand yields higher welfare than Cournot with R&D subsidy. Finally, firms' profits and welfare in Cournot are higher under output subsidies, while they can be higher in Bertrand under R&D subsidies if the product substitutability is high and the firm's R&D investment is efficient.

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  • 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.
    • Handle: RePEc:bla:ijethy:v:19:y:2023:i:1:p:77-100
    DOI: 10.1111/ijet.12336
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    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. Jeroen Hinloopen & Jan Vandekerckhove, 2009. "Dynamic efficiency of Cournot and Bertrand competition: input versus output spillovers," Journal of Economics, Springer, vol. 98(2), pages 119-136, November.
    3. Lee, Sang-Ho & Park, Chul-Hi, 2021. "Environmental regulations in private and mixed duopolies: Taxes on emissions versus green R&D subsidies," Economic Systems, Elsevier, vol. 45(1).
    4. Matsumura, Toshihiro & Matsushima, Noriaki & Cato, Susumu, 2013. "Competitiveness and R&D competition revisited," Economic Modelling, Elsevier, vol. 31(C), pages 541-547.
    5. Basak, Debasmita & Wang, Leonard F.S., 2019. "Cournot vs. Bertrand in mixed markets with R&D," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 265-271.
    6. 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.
    7. Leahy, Dermot & Neary, J Peter, 1997. "Public Policy towards R&D in Oligopolistic Industries," American Economic Review, American Economic Association, vol. 87(4), pages 642-662, September.
    8. Xu, Lili & Cho, Sumi & Lee, Sang-Ho, 2016. "Emission tax and optimal privatization in Cournot–Bertrand comparison," Economic Modelling, Elsevier, vol. 55(C), pages 73-82.
    9. 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.
    10. Arya, Anil & Mittendorf, Brian & Sappington, David E.M., 2008. "Outsourcing, vertical integration, and price vs. quantity competition," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 1-16, January.
    11. 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.
    12. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
    13. 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.
    14. 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.
    15. Sang-Ho Lee, 1998. "R&D Spillovers, Technology Cartel, and Monopoly Regulation," International Economic Journal, Taylor & Francis Journals, vol. 12(3), pages 77-88.
    16. 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.
    17. 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.
    18. Symeonidis, George, 2003. "Comparing Cournot and Bertrand equilibria in a differentiated duopoly with product R&D," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 39-55, January.
    19. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
    20. Kesavayuth, Dusanee & Zikos, Vasileios, 2013. "R&D versus output subsidies in mixed markets," Economics Letters, Elsevier, vol. 118(2), pages 293-296.
    21. Lee, Sang-Ho & Tomaru, Yoshihiro, 2017. "Output and R&D subsidies in a mixed oligopoly," MPRA Paper 84410, University Library of Munich, Germany.
    22. 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.
    23. Lopez, Monica Correa & Naylor, Robin A., 2004. "The Cournot-Bertrand profit differential: A reversal result in a differentiated duopoly with wage bargaining," European Economic Review, Elsevier, vol. 48(3), pages 681-696, June.
    24. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    25. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
    26. Judy Hsu & X. Wang, 2005. "On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 27(2), pages 185-191, September.
    27. Chirco, Alessandra & Scrimitore, Marcella, 2013. "Choosing price or quantity? The role of delegation and network externalities," Economics Letters, Elsevier, vol. 121(3), pages 482-486.
    28. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    29. Sang-Ho Lee & Lili Xu, 2018. "Endogenous timing in private and mixed duopolies with emission taxes," Journal of Economics, Springer, vol. 124(2), pages 175-201, June.
    30. Kim, Jae-Cheol & Lee, Sang-Ho, 1995. "An optimal regulation in an intertemporal oligopoly market: The Generalized Incremental Surplus Subsidy (GISS) scheme," Information Economics and Policy, Elsevier, vol. 7(3), pages 225-249, September.
    31. Miyagiwa, Kaz & Ohno, Yuka, 2002. "Uncertainty, spillovers, and cooperative R&D," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 855-876, June.
    32. Weijiang Liu & Yue Bai, 2021. "An Analysis on the Influence of R&D Fiscal and Tax Subsidies on Regional Innovation Efficiency: Empirical Evidence from China," Sustainability, MDPI, vol. 13(22), pages 1-24, November.
    33. 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.
    34. Chen, Zhiyuan & Zhang, Jie & Zi, Yuan, 2021. "A cost-benefit analysis of R&D and patents: Firm-level evidence from China," European Economic Review, Elsevier, vol. 133(C).
    35. James A. Brander & Barbara J. Spencer, 1983. "Strategic Commitment with R&D: The Symmetric Case," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 225-235, Spring.
    36. Arijit Mukherjee & Udo Broll & Soma Mukherjee, 2012. "Bertrand Versus Cournot Competition In A Vertical Structure: A Note," Manchester School, University of Manchester, vol. 80(5), pages 545-559, September.
    37. Marco Marinucci, 2012. "A primer on R&D cooperation among firms," Questioni di Economia e Finanza (Occasional Papers) 130, Bank of Italy, Economic Research and International Relations Area.
    38. Basak, Debasmita, 2017. "Cournot vs. Bertrand under centralised bargaining," Economics Letters, Elsevier, vol. 154(C), pages 124-127.
    39. Lee, Sang-Ho, 1997. "A Note on Regulating Oligopolistic Industries: A Hierarchical Model," Journal of Regulatory Economics, Springer, vol. 12(1), pages 91-97, July.
    40. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    41. Junichi Haraguchi & Toshihiro Matsumura, 2016. "Cournot–Bertrand comparison in a mixed oligopoly," Journal of Economics, Springer, vol. 117(2), pages 117-136, March.
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    2. Jinglve Wang & Hongping Yuan, 2023. "Deciphering the Innovation Subsidy Puzzle: Government Choices amid Supply Chain Encroachment," Mathematics, MDPI, vol. 11(23), pages 1-38, November.

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    More about this item

    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

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