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Endogenous Timing in a Mixed Duopoly with Vertically Related Markets

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  • 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
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Haraguchi, Junichi & Hirose, Kosuke, 2018. "Endogenous Timing in a Price-Setting Mixed Oligopoly," MPRA Paper 87285, University Library of Munich, Germany.
    17. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    18. 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.
    19. Juan Bárcena-Ruiz, 2007. "Endogenous Timing in a Mixed Duopoly: Price Competition," Journal of Economics, Springer, vol. 91(3), pages 263-272, July.
    20. 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.
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    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.

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    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

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