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Endogenous Timing In A Mixed Duopoly And Private Duopoly –‘Capacity‐Then‐Quantity’ Game: The Linear Demand Case

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  • YUANZHU LU
  • SOUGATA PODDAR

Abstract

We consider a game of endogenous timing of sequential choice of capacity and quantity with observable delay in a mixed duopoly and a private duopoly. In mixed duopoly, we find that a simultaneous play at the capacity stage or at the quantity stage can never be supported as subgame perfect Nash equilibrium (SPNE); whereas a simultaneous play at each stage turns out to be the unique SPNE in a private duopoly. In mixed duopoly there is multiplicity of equilibria and all SPNEs require sequentiality at the capacity as well as quantity stage.

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  • 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.
  • Handle: RePEc:bla:ausecp:v:48:y:2009:i:2:p:138-150
    DOI: 10.1111/j.1467-8454.2009.00369.x
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    1. Dong, Quan & Bárcena-Ruiz, Juan Carlos, 2015. "Does investment in capacity encourage FDI?," Economic Modelling, Elsevier, vol. 51(C), pages 58-64.
    2. 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.
    3. Kazuhiro Ohnishi, 2019. "Capacity choice in an international mixed triopoly," Working Papers e140, Tokyo Center for Economic Research.
    4. Nakamura, Yasuhiko, 2014. "Capacity choice in a duopoly with a consumer-friendly firm and an absolute profit-maximizing firm," International Review of Economics & Finance, Elsevier, vol. 34(C), pages 105-117.
    5. 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.
    6. 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.
    7. 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.
    8. Luciano Fanti & Nicola Meccheri, 2017. "Unionization Regimes, Capacity Choice by Firms and Welfare Outcomes," Manchester School, University of Manchester, vol. 85(6), pages 661-681, December.
    9. Kangsik Choi & DongJoon Lee, 2020. "Do firms choose overcapacity or undercapacity in a vertical structure?," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(5), pages 839-847, July.
    10. Kazuhiro Ohnishi, 2014. "Sequential Mixed Competition with a Foreign Joint-stock Firm," International Journal of Social Sciences and Management Studies (IJSSMS), The Economics and Social Development Organization (TESDO), vol. 1(2), pages 38-52, June.
    11. 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.
    12. Ohnishi, Kazuhiro, 2019. "Capacity choice in an international mixed triopoly," MPRA Paper 94051, University Library of Munich, Germany.
    13. Kazuhiro Ohnishi, 2013. "A Two-production-period Model with State-owned and Labour-managed Firms," Institutions and Economies (formerly known as International Journal of Institutions and Economies), Faculty of Economics and Administration, University of Malaya, vol. 5(1), pages 41-56, April.
    14. Ohnishi, Kazuhiro, 2018. "Stackelberg Mixed Triopoly Games with State-Owned, Labour-Managed and Capitalist Firms," MPRA Paper 88222, University Library of Munich, Germany.
    15. Ohnishi, Kazuhiro, 2018. "Inventory Holding and a Mixed Duopoly with a Foreign Joint-Stock Firm," MPRA Paper 88223, University Library of Munich, Germany.
    16. Pu-yan Nie, 2014. "Effects of capacity constraints on mixed duopoly," Journal of Economics, Springer, vol. 112(3), pages 283-294, July.

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