Network Game of Pollution Cost 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. Dynamics 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 ES-value is supposed. The restriction on network structure to realization the irrational behavior proof condition is deduced.