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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.
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    Cited by:

    1. 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.
    2. 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.
    3. V. A. Bulavsky & V. V. Kalashnikov, 2012. "Games with Linear Conjectures About System Parameters," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 152-170, January.
    4. N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
    5. 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.
    6. Viacheslav Kalashnikov & Nataliya Kalashnykova & José G. Flores-Muñiz, 2022. "Special Issue on Variational Inequalities: Consistent Conjectural Variations Coincide with the Nash Solution in the Meta-Model," Networks and Spatial Economics, Springer, vol. 22(2), pages 289-313, June.
    7. 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.
    8. Gil-Moltó, Maria José & Poyago-Theotoky, Joanna & Rodrigues-Neto, José A. & Zikos, Vasileios, 2020. "Mixed oligopoly, cost-reducing research and development, and privatisation," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1094-1106.

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