IDEAS home Printed from https://ideas.repec.org/a/hit/hitjec/v61y2020i1p60-88.html
   My bibliography  Save this article

Endogenous Timing in a Mixed Duopoly with Vertically Related Markets

Author

Listed:
  • Lee, Ki-Dong
  • Choi, Kangsik
  • Lee, DongJoon

Abstract

We examine an endogenous timing game in a mixed oligopoly by focusing on the vertical linkages. Our main findings are as follows. First, under discriminatory input pricing, public (private) leadership emerges in a price-setting (quantity-setting) mixed oligopoly. This results contrast with one-tier mixed oligopoly, where a simultaneous-move in Bertrand competition (Bárcena-Ruiz, 2007) or a sequential-move with multiple equilibria in Cournot competition (Pal, 1998) emerges. Second, with downstream Bertrand competition, firmsʼ profit and consumer surplus rankings are reversed between uniform and discriminatory input pricing. Finally, banning (allowing) price discrimination on imported inputs is socially desirable under downstream Bertrand (Cournot) competition.

Suggested Citation

  • Lee, Ki-Dong & Choi, Kangsik & Lee, DongJoon, 2020. "Endogenous Timing in a Mixed Duopoly with Vertically Related Markets," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 61(1), pages 60-88, June.
    • Handle: RePEc:hit:hitjec:v:61:y:2020:i:1:p:60-88
    DOI: 10.15057/hje.2020004
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/31200/HJeco0610100600.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.15057/hje.2020004?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. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
    2. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    3. 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.
    4. Eiji SATOH, 2015. "Territorial Restrictions and Consumer Welfare in a Mixed Oligopoly: The Japanese Gas Supply Market (in Japanese)," Economic Analysis, Economic and Social Research Institute (ESRI), vol. 189, pages 25-42, February.
    5. 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.
    6. Amir, Rabah & Jin, Jim Y., 2001. "Cournot and Bertrand equilibria compared: substitutability, complementarity and concavity," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 303-317, March.
    7. 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.
    8. Haraguchi, Junichi & Hirose, Kosuke, 2018. "Endogenous Timing in a Price-Setting Mixed Oligopoly," MPRA Paper 87285, University Library of Munich, Germany.
    9. 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.
    10. 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.
    11. 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.
    12. DongJoon Lee & Kangsik Choi & Kyuchan Hwang, 2017. "First-Mover and Second-Mover Advantages in a Bilateral Duopoly," Korean Economic Review, Korean Economic Association, vol. 33, pages 35-53.
    13. 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.
    14. 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.
    15. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    16. Mohammad Amin & Asif Islam, 2015. "Use of imported inputs and the cost of importing: evidence from developing countries," Applied Economics Letters, Taylor & Francis Journals, vol. 22(6), pages 488-492, April.
    17. John S. Heywood & Guangliang Ye, 2009. "Privatisation And Timing In A Mixed Oligopoly With Both Foreign And Domestic Firms," Australian Economic Papers, Wiley Blackwell, vol. 48(4), pages 320-332, December.
    18. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    19. 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.
    20. 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. John S. Heywood & Zerong Wang & Guangliang Ye, 2022. "Strategic delegation in an international mixed oligopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1888-1898, 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. 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.
    2. Toshihiro Matsumura & Akira Ogawa, 2017. "Inefficient but Robust Public Leadership," Journal of Industry, Competition and Trade, Springer, vol. 17(4), pages 387-398, December.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Toshihiro Matsumura & Akira Ogawa, 2017. "Endogenous Timing in Mixed Duopolies With Externality," Australian Economic Papers, Wiley Blackwell, vol. 56(4), pages 304-327, December.
    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. Nakamura, Yasuhiko, 2019. "Combining the endogenous choice of the timing of setting incentive parameters and the contents of strategic contracts in a managerial mixed duopoly," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 207-233.
    10. 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.
    11. 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.
    12. Yasuhiko Nakamura, 2020. "Endogenously choosing the timing of setting strategic contracts’ levels and content in a managerial mixed duopoly with welfare-based and sales delegation contracts," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 67(3), pages 363-402, September.
    13. Daisuke Hirata & Toshihiro Matsumura, 2011. "Price leadership in a homogeneous product market," Journal of Economics, Springer, vol. 104(3), pages 199-217, November.
    14. 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.
    15. Akio Kawasaki & Takao Ohkawa & Makoto Okamura, 2022. "Optimal partial privatization in an endogenous timing game: a mixed oligopoly approach," Journal of Economics, Springer, vol. 136(3), pages 227-250, August.
    16. José Naya, 2015. "Endogenous timing in a mixed duopoly model," Journal of Economics, Springer, vol. 116(2), pages 165-174, October.
    17. Yasuhiko Nakamura, 2019. "Endogenous Choice of the Timing of Setting Incentive Parameters and the Strategic Contracts in a Managerial Mixed Duopoly with a Welfare-Based Delegation Contract and a Sales Delegation Contract," Journal of Industry, Competition and Trade, Springer, vol. 19(4), pages 679-737, December.
    18. Luciano Fanti, 2017. "An Observable Delay Game with Unionised Managerial Firms," Scottish Journal of Political Economy, Scottish Economic Society, vol. 64(1), pages 50-69, February.
    19. 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.
    20. 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.

    More about this item

    Keywords

    endogenous-timing; observable delay game; mixed duopoly; vertically related; market; discriminatory input pricing;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • H44 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Goods: Mixed Markets
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    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:hit:hitjec:v:61:y:2020:i:1:p:60-88. 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: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/fehitjp.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.