On Competition in the Telecommunications Market

Authors

  • Petr Ageev Saint Petersburg State University
  • Yaroslavna Pankratova Saint Petersburg State University
  • Svetlana Tarashnina Saint Petersburg State University

Abstract

The paper investigates the process of competition in the market of telecommunication services between three firms: the leader, the challenger and the follower. In this work we construct a model of competition between three players in the form of a multistage non-zero sum game. As a solution of the game we find a subgame perfect equilibrium. We illustrate the results with an example for three companies working on the Saint-Petersburg telecommunications market.

Keywords:

telecommunications market, non-zero sum game, multistage game, subgame perfect equilibrium

Downloads

Download data is not yet available.

References

Bogomolova, V. G. (2004). SWOT–analysis: theory and practice of application. Economic Analysis: Theory and Practice, 17(32), 57–60.

Beresnev, V. L., Suslov, V. I. (2010). A Mathematical Model of Market Competition. Journal of Applied and Industrial Mathematics, 4(2), 147–157.

Kopylov A. V., Prosvirov A. E. (2003). Dynamic model of competition between two firms in a homogeneous market. Advances in Modern Natural Science, 8, 29–32.

Nessah, R., Tian, G. (2014). On the existence of strong Nash equilibria. Journal of Mathematical Analysis and Applications, 414(2), June 2014, 871–885.

Hellwig, M., Leininger, W. (1987). On the existence of subgame-perfect equilibrium in infinite-action games of perfect information. Journal of Economic Theory, 43(1), 55–75.

Nash, John F. Equilibrium Points in n-Person Games. Proceedings of the National Academy of Sciences of the United States of America, 36(1), Jan. 15, 1950, 48–49.

Petrosyan, L. (1993). Strongly time-consistent differential optimality principles. Vestnik St. Petersburg University, Mathematics, 26(4), 40–46.

Petrosyan, L., Chistyakov, S., Pankratova, Y. (2017). Existence of strong Nash equilibrium in repeated and multistage games. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Saint-Petersburg: Institute of Electrical and Electronics Engineers Inc.

Stackelberg, H. Von. (1952). The theory of the market economy. England: Oxford University Press, 328 p.

Tarashnina, S. (1998). Nash equilibria in a differential pursuit game with one pursuer and m evaders. Game Theory and Applications. N.Y. Nova Science Publ. III, 115–123.

Yeung, D. W. K., Petrosyan, L. A., Zenkevich, N. A. (2009). Dynamic games and applications in management. SPb.: GSOM Press, 415 p.

Downloads

Published

2022-04-10

How to Cite

Ageev, P., Pankratova, Y., & Tarashnina, S. (2022). On Competition in the Telecommunications Market. Contributions to Game Theory and Management, 11. Retrieved from https://gametheory.spbu.ru/article/view/13210

Issue

Section

Articles