Geodesic
Dynamic models of competition and cooperation in Cournot oligopoly taking into account the environmental impact
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 16 (2024) no. 3, pp. 27-57

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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.
Keywords: comparative efficiency analysis, competition-cooperation, dynamic stability, differential games
Mots-clés : Cournot oligopoly. 
@article{MGTA_2024_16_3_a2,
     author = {Polina D. Demchuk and Alexey V. Korolev and Gennady A. Ugolnitsky},
     title = {Dynamic models of competition and cooperation in {Cournot} oligopoly taking into account the environmental impact},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {27--57},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2024_16_3_a2/}
}
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Polina D. Demchuk; Alexey V. Korolev; Gennady A. Ugolnitsky. Dynamic models of competition and cooperation in Cournot oligopoly taking into account the environmental impact. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 16 (2024) no. 3, pp. 27-57. http://geodesic.mathdoc.fr/item/MGTA_2024_16_3_a2/