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Special Issue on Variational Inequalities: Consistent Conjectural Variations Coincide with the Nash Solution in the Meta-Model

Author

Listed:
  • Viacheslav Kalashnikov

    (Tecnologico de Monterrey (ITESM), Campus Monterrey
    Central Economics and Mathematics Institute (CEMI)
    Sumy State University (SumDU))

  • Nataliya Kalashnykova

    (Universidad Autónoma de Nuevo León (UANL))

  • José G. Flores-Muñiz

    (Universidad Autónoma de Nuevo León (UANL))

Abstract

We keep investigating the properties of consistent conjectural variations equilibrium (CCVE) developed for a single-commodity oligopoly. Although, in general, the consistent conjectures are distinct from those of Cournot-Nash, in our previous papers, we established the following remarkable fact. Define a meta-model as such where the players are the same agents as in the original oligopoly but now using the conjectures as their strategies. Then the Cournot-Nash equilibrium in the meta-model generated the consistent conjectural variations equilibrium in the original oligopoly. In this paper, we study the conditions under which the inverse is also true, that it, every consistent CVE provides for the Cournot-Nash optimal strategies for the meta-model. This equivalence allows one to extend the concept of CCVE to other kinds of economic and financial models lacking the oligopoly structure.

Suggested Citation

  • 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.
    • Handle: RePEc:kap:netspa:v:22:y:2022:i:2:d:10.1007_s11067-019-09473-6
    DOI: 10.1007/s11067-019-09473-6
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    References listed on IDEAS

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    1. John Laitner, 1980. ""Rational" Duopoly Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(4), pages 641-662.
    2. Nicola Giocoli, 2005. "The escape from conjectural variations: the consistency condition in duopoly theory from Bowley to Fellner," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 29(4), pages 601-618, July.
    3. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    4. Martin K. Perry, 1982. "Oligopoly and Consistent Conjectural Variations," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 197-205, Spring.
    5. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    6. Sugden, Robert, 1985. "Consistent conjectures and voluntary contributions to public goods: why the conventional theory does not work," Journal of Public Economics, Elsevier, vol. 27(1), pages 117-124, June.
    7. 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.
    8. 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.
    9. Alexander Zerrahn & Daniel Huppmann, 2017. "Network Expansion to Mitigate Market Power," Networks and Spatial Economics, Springer, vol. 17(2), pages 611-644, June.
    10. Frederic H. Murphy & Yves Smeers, 2005. "Generation Capacity Expansion in Imperfectly Competitive Restructured Electricity Markets," Operations Research, INFORMS, vol. 53(4), pages 646-661, August.
    11. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-945, December.
    12. 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.
    13. Cornes, Richard & Sandler, Todd, 1984. "Easy Riders, Joint Production, and Public Goods," Economic Journal, Royal Economic Society, vol. 94(375), pages 580-598, September.
    14. Blaise Allaz & Jean-Luc Vila, 1993. "Cournot Competition, Forward Markets and Efficiency," Post-Print hal-00511806, HAL.
    15. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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