IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/98832.html
   My bibliography  Save this paper

Endogenous Timing of R&D Decisions and Privatization Policy with Research Spillovers

Author

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

Abstract

This study investigates an endogenous R&D timing game between duopoly firms which undertake cost-reducing R&D investments and then play Cournot output competition. We examine equilibrium outcomes in private and mixed markets and find that spillovers rate critically affects contrasting results. We show that a simultaneous-move appears in a private duopoly only if the spillovers rate is low while a sequential-move appears in a mixed duopoly irrespective of spillovers. We also show that public leadership is the only equilibrium if the spillovers rate is intermediate and its resulting welfare is the highest. Finally, we show that the implementation of privatization policy transforms a public leader to a private competitor, but this can decrease the social welfare.

Suggested Citation

  • Lee, Sang-Ho & Muminov, Timur, 2020. "Endogenous Timing of R&D Decisions and Privatization Policy with Research Spillovers," MPRA Paper 98832, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:98832
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/98832/1/MPRA_paper_98832.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    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. Sumi Cho & Sang‐Ho Lee & Xoan T. Hoang, 2019. "Corporate social responsibility and strategic trade policy: An endogenous timing game and its policy implications," Australian Economic Papers, Wiley Blackwell, vol. 58(4), pages 480-497, December.
    3. 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.
    4. Rabah Amir & Giuseppe Feo, 2014. "Endogenous timing in a mixed duopoly," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 629-658, August.
    5. 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.
    6. Toshihiro Matsumura & Makoto Okamura, 2015. "Competition and privatization policies revisited: the payoff interdependence approach," Journal of Economics, Springer, vol. 116(2), pages 137-150, October.
    7. Yuanzhu Lu & Sougata Poddar, 2009. "Endogenous Timing In A Mixed Duopoly And Private Duopoly –‘Capacity‐Then‐Quantity’ Game: The Linear Demand Case," Australian Economic Papers, Wiley Blackwell, vol. 48(2), pages 138-150, June.
    8. Jim Jin & Rabah Amir & Madjid Amir, 2000. "Sequencing R&D decisions in a two-period duopoly with spillovers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 297-317.
    9. Yoshihiro Tomaru & Kazuharu Kiyono, 2010. "Endogenous Timing in Mixed Duopoly with Increasing Marginal Costs," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 166(4), pages 591-613, December.
    10. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    11. 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.
    12. Lee, Sang-Ho & Tomaru, Yoshihiro, 2017. "Output and R&D subsidies in a mixed oligopoly," MPRA Paper 84410, University Library of Munich, Germany.
    13. 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.
    14. 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.
    15. 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.
    16. Tamás Balogh & Attila Tasnádi, 2012. "Does timing of decisions in a mixed duopoly matter?," Journal of Economics, Springer, vol. 106(3), pages 233-249, July.
    17. 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.
    18. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    19. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    20. Kesavayuth, Dusanee & Zikos, Vasileios, 2013. "R&D versus output subsidies in mixed markets," Economics Letters, Elsevier, vol. 118(2), pages 293-296.
    21. repec:wly:soecon:v:81:2:y:2014:p:457-473 is not listed on IDEAS
    22. 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.
    23. 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.
    24. Toshihiro Matsumura & Akira Ogawa, 2017. "Endogenous Timing in Mixed Duopolies With Externality," Australian Economic Papers, Wiley Blackwell, vol. 56(4), pages 304-327, December.
    25. repec:bla:jindec:v:46:y:1998:i:3:p:333-57 is not listed on IDEAS
    26. Baranes, Edmond & Tropeano, Jean-Philippe, 2003. "Why are technological spillovers spatially bounded? A market orientated approach," Regional Science and Urban Economics, Elsevier, vol. 33(4), pages 445-466, July.
    27. 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.
    28. Amir, Rabah, 2000. "Modelling imperfectly appropriable R&D via spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 1013-1032, October.
    29. John S. Heywood & Guangliang Ye, 2009. "Partial Privatization In A Mixed Duopoly With An R&D Rivalry," Bulletin of Economic Research, Wiley Blackwell, vol. 61(2), pages 165-178, April.
    30. Yuanzhu Lu, 2006. "Endogenous Timing in a Mixed Oligopoly with Foreign Competitors: the Linear Demand Case," Journal of Economics, Springer, vol. 88(1), pages 49-68, June.
    31. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-274, May.
    32. Shoji Haruna & Rajeev K. Goel, 2019. "Optimal pollution control in a mixed oligopoly with research spillovers," Australian Economic Papers, Wiley Blackwell, vol. 58(1), pages 21-40, March.
    33. José Naya, 2015. "Endogenous timing in a mixed duopoly model," Journal of Economics, Springer, vol. 116(2), pages 165-174, October.
    34. Nett, Lorenz, 1994. "Why private firms are more innovative than public firms," European Journal of Political Economy, Elsevier, vol. 10(4), pages 639-653, December.
    35. 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.
    36. 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.
    37. Arturo García & Mariel Leal & Sang-Ho Lee, 2019. "Endogenous Timing with a Socially Responsible Firm," Korean Economic Review, Korean Economic Association, vol. 35, pages 345-370.
    38. Sang-Ho Lee, 1998. "R&D Spillovers, Technology Cartel, and Monopoly Regulation," International Economic Journal, Taylor & Francis Journals, vol. 12(3), pages 77-88.
    39. 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.
    40. Ishibashi, Ikuo & Matsumura, Toshihiro, 2006. "R&D competition between public and private sectors," European Economic Review, Elsevier, vol. 50(6), pages 1347-1366, August.
    41. Matsumura, Toshihiro, 1999. "Quantity-setting oligopoly with endogenous sequencing," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 289-296, February.
    42. 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.
    43. 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.
    44. 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.
    45. 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.
    46. Hong-Ren Din & Chia-Hung Sun, 2016. "Combining the endogenous choice of timing and competition version in a mixed duopoly," Journal of Economics, Springer, vol. 118(2), pages 141-166, June.
    47. Miyagiwa, Kaz & Ohno, Yuka, 2002. "Uncertainty, spillovers, and cooperative R&D," International Journal of Industrial Organization, Elsevier, vol. 20(6), pages 855-876, June.
    48. Toshihiro Matsumura & Akira Ogawa, 2010. "On The Robustness Of Private Leadership In Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 49(2), pages 149-160, June.
    49. Juan Bárcena-Ruiz, 2007. "Endogenous Timing in a Mixed Duopoly: Price Competition," Journal of Economics, Springer, vol. 91(3), pages 263-272, 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. Jiaqi Chen & Sang-ho Lee, 2022. "R&D rivalry with the interaction of output subsidies in an extensive endogenous timing game," Economics Bulletin, AccessEcon, vol. 42(3), pages 1621-1630.
    2. Chul‐Hi Park & Sang‐Ho Lee, 2023. "Emission taxation, green R&D, and managerial delegation contracts with environmental and sales incentives," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(4), pages 2366-2377, June.
    3. Jiaqi Chen & Doori Kim & Sang‐Ho Lee, 2024. "Endogenous timing of R&D decisions with spillovers: Output versus research subsidies," Bulletin of Economic Research, Wiley Blackwell, vol. 76(3), pages 631-649, July.
    4. Lili Xu & Yidan Zhang & Sang‐Ho Lee, 2024. "Effects of partial passive ownership in a successive endogenous timing game with R&D spillovers," Bulletin of Economic Research, Wiley Blackwell, vol. 76(1), pages 283-297, January.
    5. Xing Gao & Xifan Wang & Weijun Zhong & Ying Wang, 2023. "R&D subsidy and output subsidy in a duopoly: The role of technology spillover and R&D budget," Australian Economic Papers, Wiley Blackwell, vol. 62(3), pages 524-538, September.

    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. Chen, Jiaqi & Lee, Sang-Ho, 2020. "Endogenous timing game with R&D decisions and output subsidies," MPRA Paper 99503, University Library of Munich, Germany.
    2. 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.
    3. 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.
    4. Arturo García & Mariel Leal & Sang-Ho Lee, 2019. "Endogenous Timing with a Socially Responsible Firm," Korean Economic Review, Korean Economic Association, vol. 35, pages 345-370.
    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. 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.
    7. 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.
    8. Akio Kawasaki & Takao Ohkawa & Makoto Okamura, 2020. "Endogenous timing game in a mixed duopoly with partial foreign ownership and asymmetric increasing marginal costs," Australian Economic Papers, Wiley Blackwell, vol. 59(2), pages 71-87, June.
    9. Junichi Haraguchi & Toshihiro Matsumura, 2020. "Endogenous public and private leadership with diverging social and private marginal costs," Manchester School, University of Manchester, vol. 88(5), pages 699-730, September.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Toshihiro Matsumura & Akira Ogawa, 2017. "Endogenous Timing in Mixed Duopolies With Externality," Australian Economic Papers, Wiley Blackwell, vol. 56(4), pages 304-327, December.
    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. Haraguchi, Junichi & Matsumura, Toshihiro, 2017. "Firms' Costs, Profits, Entries, and Innovation under Optimal Privatization Policy," MPRA Paper 80927, University Library of Munich, Germany.
    17. 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.
    18. 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.
    19. Marie‐Laure Cabon‐Dhersin & Romain Gibert, 2020. "R&D cooperation, proximity and distribution of public funding between public and private research sectors," Manchester School, University of Manchester, vol. 88(6), pages 773-800, December.
    20. 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.

    More about this item

    Keywords

    private duopoly; mixed duopoly; R&D spillovers; endogenous R&D timing game;
    All these keywords.

    JEL classification:

    • 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
    • L33 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Comparison of Public and Private Enterprise and Nonprofit Institutions; Privatization; Contracting Out

    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:98832. 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.