考虑环境影响的古诺寡头竞争与合作动态模型

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-03-28 DOI:10.1134/S1064562424602610

P. D. Demchuk, A. V. Korolev, G. A. Ugolnitsky

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引用次数: 0

摘要

本文描述了古诺寡头垄断的基本模型，将竞争-合作和环境污染作为一种标准形式的微分博弈来考虑。并对独立行为和合作行为进行了数值分析。构造了特征von Neumann-Morgenstern、Petrosyan-Zaccour和Gromova-Petrosyan函数形式的博弈，并计算了Shapley值。分析了具有信息规则的直接和反向Stackelberg博弈的层次博弈，并对各种组织方式的收益进行了比较分析。本文给出了三人动态博弈的所有结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 von Neumann–Morgenstern, Petrosyan–Zaccour, and Gromova–Petrosyan functions 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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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.