Skip to main content
Log in

Interacting oligopolistic and oligopsonistic Cournot markets

  • Large Scale Systems Control
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

This paper considers the model of several interacting Cournot markets. Some of them are final goods markets, while the others are resource markets. The markets interact by sharing the same set of economic agents (producers), so that the latter are oligopsonists on resource markets and simultaneously oligopolists on goods markets. Each producer strategically chooses its supply volumes on each goods market and its purchase volume of resources in accordance with technology and expected supply effects on prices. We prove that in the case of linear demand and supply functions the model of interacting Cournot markets is reduced to a potential game; hence, the Nash equilibrium problem is equivalent to a mathematical programming problem. We also discuss the advantages and special features of such a representation of interacting oligopolistic and oligopsonistic markets.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zorkaltsev, V.I. and Kiseleva, M.A., Nash Equilibrium of Production Plans, Sovr. Tekhnol. Sist. Analiz. Modelir., 2009, no. 3, pp. 219–224.

    Google Scholar 

  2. Zorkaltsev, V.I. and Kiseleva, M.A., Oligopolistic and Oligopsonistic Interacting Markets, Preprint of Melentiev Energy Systems Institute, Sib. Br. Russ. Acad. Sci., Irkutsk, 2014.

    Google Scholar 

  3. Abolhassani, M., Bateni, M.H., Hajiaghayi, M.T., et al., Network Cournot Competition, in Lecture Notes in Computer Science, 2014, vol. 8877, pp. 15–29.

    Article  MATH  Google Scholar 

  4. Bergstrom, T.C. and Varian, H.R., Two Remarks on Cournot Equilibria, Econom. Lett., 1985, no. 19, pp. 5–8.

    Article  MathSciNet  MATH  Google Scholar 

  5. Kukushkin, N., Congestion Games Revisited, Int. J. Game Theory, 2007, vol. 36, pp. 57–83.

    Article  MathSciNet  MATH  Google Scholar 

  6. Monderer, D. and Shapley, L., Potential Games, Games Econom. Behav., 1996, no. 14, pp. 124–143.

    Article  MathSciNet  MATH  Google Scholar 

  7. Slade, M.E., What Does an Oligopoly Maximize?, J. Industr. Econom., 1994, vol. 42, no. 1, pp. 45–61.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Zorkaltsev.

Additional information

Original Russian Text © V.I. Zorkaltsev, M.A. Kiseleva, 2015, published in Upravlenie Bol’shimi Sistemami, 2015, No. 56, pp. 95–107.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zorkaltsev, V.I., Kiseleva, M.A. Interacting oligopolistic and oligopsonistic Cournot markets. Autom Remote Control 78, 953–959 (2017). https://doi.org/10.1134/S0005117917050162

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0005117917050162

Navigation