Dynamic models of competition and cooperation in Cournot oligopoly taking into account the environmental impact

  • Polina D. Demchuk St. Petersburg State Electrotechnical University
  • Полина Д. Демчук St. Petersburg State Electrotechnical University
  • Alexey V. Korolev St. Petersburg State Electrotechnical University
  • Алексей Васильевич Королёв St. Petersburg State Electrotechnical University
  • Gennady A. Ugolnitsky I.I. Vorovich Institute of Mathematics, Mechanics and Computer Sciences
  • Геннадий Анатольевич Угольницкий I.I. Vorovich Institute of Mathematics, Mechanics and Computer Sciences
DOI: https://doi.org/10.17076/mgta_2024_3_79
Keywords: comparative efficiency analysis, competition-cooperation, dynamic stability, differential games, Cournot oligopoly

Abstract

The basic model of the Cournot oligopoly taking into account competition-cooperation and environmental pollution as a differential game in a normal form is described. The numerical analysis for independent and cooperative behavior is carried out for an example used in the future. Games in the form of the characteristic function of von Neumann-Morgenstern, Petrosyan-Zaccour and Gromova-Petrosyan are constructed, and the Shapley values are calculated. Hierarchical games with information regulations for direct and reverse Stackelberg games are analyzed, payoffs' comparative analysis for all methods of organization is provided. All the results are presented for the dynamic game with three players.

Published
2024-12-03
How to Cite
Demchuk, P., Демчук, П., Korolev, A., Королёв, А., Ugolnitsky, G., & Угольницкий, Г. (2024). Dynamic models of competition and cooperation in Cournot oligopoly taking into account the environmental impact. Mathematical Game Theory and Applications, 16(3), 27-57. https://doi.org/10.17076/mgta_2024_3_79
Issue
Vol 16 No 3 (2024): Mathematical game theory and applications
Section
Статьи
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