On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control

被引：2

作者：

Marova, Ekaterina ^{[1
]}

Gromova, Ekaterina ^{[1
]}

Barsuk, Polina ^{[1
]}

Shagushina, Anastasia ^{[2
]}

机构：

[1] St Petersburg State Univ, Fac Appl Math & Control Proc, St Petersburg 198504, Russia

[2] EPAM Syst Inc, 22-2 Zastavskaya St,MegaPk, St Petersburg 196084, Russia

来源：

MATHEMATICS | 2020年 / 8卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

differential games; prescribed duration; characteristic function; environmental resource management; pollution control; CONSISTENT SHAPLEY VALUE; COALITION;

D O I：

10.3390/math8060961

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider various approaches for a characteristic function construction on the example of annplayers differential game of pollution control with a prescribed duration. We explore the effect of the presence of an absorption coefficient in the game on characteristic functions. As an illustration, we consider a game in which the parameters are calculated based on the real ecological situation of the Irkutsk region. For this game, we compute a number of characteristic functions and compare their properties.

引用

页数：24

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