Network game of emission reduction

In this paper a $n$-person network game theoretical model of emission reduction is considered. Each player has its own evolution of the stock of accumulated pollution. Dynamic of player $i$, $i=1,\dots,n$ depends on emissions of players $k\in K_i$, where $K_i$ is the set of players which are connected by arcs with player $i$. Nash equilibrium is constructed. The cooperative game is considered. As optimal imputation the proportional solution is proposed.