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Endogenous Timing in a Mixed Duopoly and Private Duopoly - ‘Capacity- then-Quantity’ Game

Author

Listed:
  • Yuanzhu Lu

    () (China Economics and Management Academy, Central University of Finance and Economics)

  • Sougata Poddar

    () (Department of Economics, National University of Singapore)

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 under two possible time structures. 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. These equilibrium outcomes are invariant with respect to the endogenous time structures. In this context, we also show that the public firm never chooses over (excess) capacity in mixed duopoly, while the private firm never chooses under capacity in both mixed and private duopoly.

Suggested Citation

  • Yuanzhu Lu & Sougata Poddar, 2006. "Endogenous Timing in a Mixed Duopoly and Private Duopoly - ‘Capacity- then-Quantity’ Game," Departmental Working Papers wp0605, National University of Singapore, Department of Economics.
  • Handle: RePEc:nus:nusewp:wp0605
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    File URL: http://www.fas.nus.edu.sg/ecs/pub/wp/wp0605.pdf
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    References listed on IDEAS

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    5. Hikaru Ogawa & Akira Nishimori, 2004. "Do Firms Always Choose Excess Capacity?," Economics Bulletin, AccessEcon, vol. 12(2), pages 1-7.
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    Cited by:

    1. Yoshihiro Tomaru & Yasuhiko Nakamura & Masayuki Saito, 2009. "Capacity Choice in a Mixed Duopoly with Managerial Delegation," Economics Bulletin, AccessEcon, vol. 29(3), pages 1904-1924.

    More about this item

    Keywords

    Endogenous timing; public firm; private firm; over capacity; under capacity;

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • H42 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Private Goods

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