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

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.

On the symmetry relation between different characteristic functions for additively separable cooperative games

“…In [5] a detailed overview and comparison of these characteristic functions is given. Further, it was shown in [5,8] that for a particular class of differential games, the considered characteristic functions satisfy the relation…”