Geodesic
Network game of emission reduction
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 2, pp. 3-13

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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.
Keywords: network game, Nash equilibrium, imputation distribution procedure.
Mots-clés : proportional solution 
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     author = {Anna V. Belitskaia and Leon A. Petrosyan},
     title = {Network game of emission reduction},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_2_a0/}
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Anna V. Belitskaia; Leon A. Petrosyan. Network game of emission reduction. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 2, pp. 3-13. http://geodesic.mathdoc.fr/item/MGTA_2012_4_2_a0/