Mathematics (Jun 2020)

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

  • Ekaterina Marova,
  • Ekaterina Gromova,
  • Polina Barsuk,
  • Anastasia Shagushina

DOI
https://doi.org/10.3390/math8060961
Journal volume & issue
Vol. 8, no. 6
p. 961

Abstract

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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