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Conjectural variations equilibrium in a mixed duopoly

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  • Kalashnikov, Vyacheslav
  • Kemfert, Claudia
  • Kalashnikov, Vitaly

Abstract

We study a mixed duopoly model, in which a state-owned (public) firm maximizing domestic social surplus and a private (foreign) firm compete. Under general enough assumptions, we first justify the concept of conjectural variations equilibrium (CVE) applied to the model by demonstrating concavity of the expected profit function of each agent. Next we establish existence and uniqueness results for the conjectural variations equilibrium in the described duopoly. A particular case of a CVE with constant influence (conjecture) coefficients is also examined.

Suggested Citation

  • Kalashnikov, Vyacheslav & Kemfert, Claudia & Kalashnikov, Vitaly, 2009. "Conjectural variations equilibrium in a mixed duopoly," European Journal of Operational Research, Elsevier, vol. 192(3), pages 717-729, February.
  • Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:717-729
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    References listed on IDEAS

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    1. Toshihiro Matsumura, 2003. "Stackelberg Mixed Duopoly with a Foreign Competitor," Bulletin of Economic Research, Wiley Blackwell, vol. 55(3), pages 275-287, July.
    2. Lindh, Thomas, 1992. "The inconsistency of consistent conjectures : Coming back to Cournot," Journal of Economic Behavior & Organization, Elsevier, vol. 18(1), pages 69-90, June.
    3. de Fraja, Giovanni & Delbono, Flavio, 1990. " Game Theoretic Models of Mixed Oligopoly," Journal of Economic Surveys, Wiley Blackwell, vol. 4(1), pages 1-17.
    4. John Vickers & George Yarrow, 1988. "Privatization: An Economic Analysis," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262720116, January.
    5. Noriaki Matsushima & Toshihiro Matsumura, 2003. "Mixed oligopoly and spatial agglomeration," Canadian Journal of Economics, Canadian Economics Association, vol. 36(1), pages 62-87, February.
    6. Lorenz NETT, 1993. "Mixed Oligopoly With Homogeneous Goods," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 64(3), pages 367-393, July.
    7. Richard G. Harris & Elmer G. Wiens, 1980. "Government Enterprise: An Instrument for the Internal Regulation of Industry," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 125-132, February.
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    Cited by:

    1. Ko, Chuan-Chuan & Lin, Tyrone T. & Yang, Chyan, 2011. "The venture capital entry model on game options with jump-diffusion process," International Journal of Production Economics, Elsevier, vol. 134(1), pages 87-94, November.
    2. Kopel, Michael & Lamantia, Fabio & Szidarovszky, Ferenc, 2014. "Evolutionary competition in a mixed market with socially concerned firms," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 394-409.
    3. Kalashnikov, Vyacheslav V. & Bulavsky, Vladimir A. & Kalashnykova, Nataliya I. & Castillo, Felipe J., 2011. "Mixed oligopoly with consistent conjectures," European Journal of Operational Research, Elsevier, vol. 210(3), pages 729-735, May.
    4. John Heywood & Guangliang Ye, 2010. "Optimal privatization in a mixed duopoly with consistent conjectures," Journal of Economics, Springer, vol. 101(3), pages 231-246, November.

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