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

Ekaterina Marova, Ekaterina Gromova, Polina Barsuk and Anastasia Shagushina
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Ekaterina Marova: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 198504 St. Petersburg, Russia
Ekaterina Gromova: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 198504 St. Petersburg, Russia
Polina Barsuk: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 198504 St. Petersburg, Russia
Anastasia Shagushina: EPAM Systems, Inc., 22/2 Zastavskaya St., MegaPark, 196084 Saint Petersburg, Russia

Mathematics, 2020, vol. 8, issue 6, 1-24

Abstract: We consider various approaches for a characteristic function construction on the example of an n players 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.

Keywords: differential games; prescribed duration; characteristic function; environmental resource management; pollution control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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