%X It is likely that the decentralized structure at the level of nations of decision-making processes related to polluting emissions will aggravate the decline in the efficiency of carbon sinks. A two-player differential game model of pollution is proposed. It accounts for a time-dependent environmental absorption efficiency and allows for the possibility of a switching of the biosphere from a carbon sink to a source. The impact of negative externalities from the transboundary pollution non-cooperative game wherein countries are dynamically involved is investigated. The differences in steady state between cooperative, open-loop, and Markov perfect Nash equilibria are studied. For the latter, two numerical methods for its approximation are compared. %C Pisa, Italy %B Book of abstracts of the 45th Conference of Italian Operational Research Society (AIRO) %A Giorgio Gnecco %A F. El Ouardighi %A K. Kogan %A Marcello Sanguineti %L eprints3130 %T A Two-Player Differential Game Model for the Management of Transboundary Pollution and Environmental Absorption %P 306-307 %D 2015