IDEAS home Printed from https://ideas.repec.org/a/bla/ausecp/v56y2017i4p304-327.html
   My bibliography  Save this article

Endogenous Timing in Mixed Duopolies With Externality

Author

Listed:
  • Toshihiro Matsumura
  • Akira Ogawa

Abstract

We investigate endogenous timing in a mixed duopoly with a negative externality. We find that quantity (price) competition yields a simultaneous†move (sequential†move) outcome under a significant negative externality. These results indicate that mixed duopolies yield the same results as private duopolies under a significant negative externality, which is in sharp contrast to the results in mixed duopolies without a negative externality. Unless the negative externality is insignificant, public leadership yields greater welfare than private leadership, and public leadership is more robust than the private leadership as equilibrium. If optimal environmental tax policy is introduced, however, private leadership yields the greatest welfare and this an equilibrium outcome in the endogenous timing game under quantity competition.

Suggested Citation

  • Toshihiro Matsumura & Akira Ogawa, 2017. "Endogenous Timing in Mixed Duopolies With Externality," Australian Economic Papers, Wiley Blackwell, vol. 56(4), pages 304-327, December.
  • Handle: RePEc:bla:ausecp:v:56:y:2017:i:4:p:304-327
    DOI: 10.1111/1467-8454.12104
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1467-8454.12104
    Download Restriction: no

    File URL: https://libkey.io/10.1111/1467-8454.12104?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Wang, Leonard F.S. & Wang, Jean, 2009. "Environmental taxes in a differentiated mixed duopoly," Economic Systems, Elsevier, vol. 33(4), pages 389-396, December.
    2. 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.
    3. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    4. Ono, Yoshiyasu, 1978. "The Equilibrium of Duopoly in a Market of Homogeneous Goods," Economica, London School of Economics and Political Science, vol. 45(179), pages 287-295, August.
    5. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    6. Shuichi Ohori, 2006. "Optimal Environmental Tax and Level of Privatization in an International Duopoly," Journal of Regulatory Economics, Springer, vol. 29(2), pages 225-233, March.
    7. Toshihiro Matsumura, 2003. "Stackelberg Mixed Duopoly with a Foreign Competitor," Bulletin of Economic Research, Wiley Blackwell, vol. 55(3), pages 275-287, July.
    8. repec:hit:hitjcm:v:56:y:2015:i:1:p:135-154 is not listed on IDEAS
    9. Shoji Haruna & Rajeev K. Goel, 2015. "R&D Strategy in International Mixed Duopoly with Research Spillovers," Australian Economic Papers, Wiley Blackwell, vol. 54(2), pages 88-103, June.
    10. Susumu Cato, 2011. "Environmental policy in a mixed market: abatement subsidies and emission taxes," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 13(4), pages 283-301, December.
    11. 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.
    12. Xu, Lili & Lee, Sang-Ho, 2015. "Strategic Privatization With Tariffs And Environmental Taxes In An International Mixed Duopoly," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 56(1), pages 135-154, June.
    13. Leonard F. S. Wang & Ya-chin Wang & Lihong Zhao, 2009. "Privatization and the Environment in a Mixed Duopoly with Pollution Abatement," Economics Bulletin, AccessEcon, vol. 29(4), pages 3112-3119.
    14. William C. Merrill & Norman Schneider, 1966. "Government Firms in Oligopoly Industries: A Short-Run Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 400-412.
    15. 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.
    16. 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.
    17. Susumu Cato, 2008. "Privatization and the Environment," Economics Bulletin, AccessEcon, vol. 12(19), pages 1-10.
    18. 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.
    19. Pal, Debashis, 1991. "Cournot duopoly with two production periods and cost differentials," Journal of Economic Theory, Elsevier, vol. 55(2), pages 441-448, December.
    20. 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.
    21. Leonard F.S. Wang & Jean Wang & Jen‐Yao Lee, 2010. "Optimum‐Welfare And Maximum‐Revenue Tariffs In Mixed Oligopoly With Foreign Competitors," Australian Economic Papers, Wiley Blackwell, vol. 49(1), pages 60-72, March.
    22. Jeffry M. Netter & William L. Megginson, 2001. "From State to Market: A Survey of Empirical Studies on Privatization," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 321-389, June.
    23. Hiroaki Ino & Toshihiro Matsumura, 2010. "What role should public enterprises play in free-entry markets?," Journal of Economics, Springer, vol. 101(3), pages 213-230, November.
    24. Toshihiro Matsumura, 2003. "Endogenous Role in Mixed Markets: A Two-Production-Period Model," Southern Economic Journal, John Wiley & Sons, vol. 70(2), pages 403-413, October.
    25. Tohru Naito & Hikaru Ogawa, 2009. "Direct versus indirect environmental regulation in a partially privatized mixed duopoly," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 10(2), pages 87-100, June.
    26. Lee, Sang-Ho, 1999. "Optimal Taxation for Polluting Oligopolists with Endogenous Market Structure," Journal of Regulatory Economics, Springer, vol. 15(3), pages 293-308, May.
    27. Carlo Capuano & Giuseppe De Feo, 2010. "Privatization in Oligopoly: the Impact of the Shadow Cost of Public Funds," Rivista italiana degli economisti, Società editrice il Mulino, issue 2, pages 175-208.
    28. Yasuhiko Nakamura, 2015. "Endogenous Choice of Strategic Contracts in a Mixed Duopoly with Bargaining Over Managerial Delegation Contracts," Australian Economic Papers, Wiley Blackwell, vol. 54(2), pages 121-134, June.
    29. Lee, Sang-Ho & Tomaru, Yoshihiro, 2017. "Output and R&D subsidies in a mixed oligopoly," MPRA Paper 84410, University Library of Munich, Germany.
    30. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    31. Junichi Haraguchi & Toshihiro Matsumura, 2016. "Cournot–Bertrand comparison in a mixed oligopoly," Journal of Economics, Springer, vol. 117(2), pages 117-136, March.
    32. Nakamura, Yasuhiko, 2015. "Endogenous choice of strategic incentives in a mixed duopoly with a new managerial delegation contract for the public firm," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 262-277.
    33. Toshihiro Matsumura & Noriaki Matsushima, 2004. "Endogenous Cost Differentials between Public and Private Enterprises: A Mixed Duopoly Approach," Economica, London School of Economics and Political Science, vol. 71(284), pages 671-688, November.
    34. Matsumura, Toshihiro, 1999. "Quantity-setting oligopoly with endogenous sequencing," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 289-296, February.
    35. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    36. repec:ebl:ecbull:v:12:y:2008:i:19:p:1-10 is not listed on IDEAS
    37. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    38. repec:wly:soecon:v:81:2:y:2014:p:457-473 is not listed on IDEAS
    39. Kazuhiko Kato, 2006. "Can Allowing to Trade Permits Enhance Welfare in Mixed Oligopoly?," Journal of Economics, Springer, vol. 88(3), pages 263-283, September.
    40. Ono, Yoshiyasu, 1982. "Price Leadership: A Theoretical Analysis," Economica, London School of Economics and Political Science, vol. 49(193), pages 11-20, February.
    41. 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.
    42. Kazuhiko Kato, 2013. "Optimal degree of privatization and the environmental problem," Journal of Economics, Springer, vol. 110(2), pages 165-180, October.
    43. Juan Bárcena-Ruiz, 2007. "Endogenous Timing in a Mixed Duopoly: Price Competition," Journal of Economics, Springer, vol. 91(3), pages 263-272, July.
    44. Rupayan Pal & Bibhas Saha, 2014. "Mixed Duopoly and Environment," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(1), pages 96-118, February.
    45. Katsoulacos, Yannis & Xepapadeas, Anastasios, 1995. " Environmental Policy under Oligopoly with Endogenous Market Structure," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(3), pages 411-420, September.
    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. 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. 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.
    3. 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.
    4. 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.
    5. Akio Kawasaki, 2021. "Optimal number of privatised products in a differentiated mixed oligopoly with free market entry," Australian Economic Papers, Wiley Blackwell, vol. 60(4), pages 651-663, December.
    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. 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.
    8. Jan Libich & Dat Thanh Nguyen, 2022. "When a compromise gets compromised by another compromise," Australian Economic Papers, Wiley Blackwell, vol. 61(4), pages 678-716, December.

    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. Toshihiro Matsumura & Akira Ogawa, 2017. "Inefficient but Robust Public Leadership," Journal of Industry, Competition and Trade, Springer, vol. 17(4), pages 387-398, December.
    2. Ming Hsin Lin & Toshihiro Matsumura, 2018. "Optimal Privatisation Policy under Private Leadership in Mixed Oligopolies," Arthaniti: Journal of Economic Theory and Practice, , vol. 17(1), pages 1-14, June.
    3. Kosuke Hirose & Toshihiro Matsumura, 2019. "Comparing welfare and profit in quantity and price competition within Stackelberg mixed duopolies," Journal of Economics, Springer, vol. 126(1), pages 75-93, January.
    4. 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.
    5. 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.
    6. 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.
    7. Sato, Susumu & Matsumura, Toshihiro, 2019. "Shadow cost of public funds and privatization policies," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    8. Toshihiro Matsumura & Akira Ogawa, 2014. "Corporate Social Responsibility or Payoff Asymmetry? A Study of an Endogenous Timing Game," Southern Economic Journal, John Wiley & Sons, vol. 81(2), pages 457-473, October.
    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. 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.
    11. Ming Lin & Toshihiro Matsumura, 2012. "Presence of foreign investors in privatized firms and privatization policy," Journal of Economics, Springer, vol. 107(1), pages 71-80, September.
    12. 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.
    13. 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.
    14. Sumi Cho & Sang-Ho Lee, 2017. "Subsidization Policy on the Social Enterprise for the Underprivileged," Korean Economic Review, Korean Economic Association, vol. 33, pages 153-178.
    15. Toshihiro Matsumura, 2003. "Endogenous Role in Mixed Markets: A Two‐Production‐Period Model," Southern Economic Journal, John Wiley & Sons, vol. 70(2), pages 403-413, October.
    16. Hiroaki Ino & Toshihiro Matsumura, 2010. "What role should public enterprises play in free-entry markets?," Journal of Economics, Springer, vol. 101(3), pages 213-230, November.
    17. Kazuhiko Kato, 2013. "Optimal degree of privatization and the environmental problem," Journal of Economics, Springer, vol. 110(2), pages 165-180, October.
    18. Haraguchi, Junichi & Matsumura, Toshihiro, 2018. "Government-leading welfare-improving collusion," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 363-370.
    19. 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.
    20. Juan Bárcena-Ruiz & María Garzón, 2010. "Endogenous timing in a mixed oligopoly with semipublic firms," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 9(2), pages 97-113, August.

    More about this item

    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:bla:ausecp:v:56:y:2017:i:4:p:304-327. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0004-900X .

    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.