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

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.

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Publication Details

Journal
Mathematical Game Theory and Applications
Published
2024-12-03
DOI
https://doi.org/10.17076/mgta_2024_3_79
Primary Topic
Economic and Technological Systems Analysis
Type
article
Field-Weighted Citation Impact
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article

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

G. A. Ugolnitsky, Alexei Korolev, Геннадий Анатольевич Угольницкий, Polina D. Demchuk et al.
Mathematical Game Theory and Applications
Economic and Technological Systems Analysis
article

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

G. A. Ugolnitsky, Alexei Korolev, Геннадий Анатольевич Угольницкий, Polina D. Demchuk, Полина Д. Демчук, Алексей Васильевич Королёв
article en

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.

Mathematical Game Theory and ApplicationsVol. 16(3)
Saint Petersburg State Electrotechnical University (RU), Czech Academy of Sciences, Institute of Mathematics (CZ)
Partnerships for the goals
Openalex Percentile: Top 62%
Economic and Technological Systems Analysis
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