Geodesic
Differential Game of Pollution Control with Overlapping Generations
Contributions to game theory and management, Tome 5 (2012), pp. 310-320

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We formulate an overlapping generations model on optimal emissions with continuous age-structure. We compare the non-cooperative solution to the cooperative one and obtain fundamental differences in the optimal strategies. Also including an altruistic motive does not avoid the problem of the myopic non-cooperative solution. Finally we define a time-consistent tax scheme to obtain the cooperative solution in the non-cooperative case.
Keywords: differential game, overlapping generations, pollution, Pontryagin's Maximum Principle, Nash equilibrium. 
@article{CGTM_2012_5_a27,
     author = {Stefan Wrzaczek and Ekaterina Shevkoplyas and Sergey Kostyunin},
     title = {Differential {Game} of {Pollution} {Control} with {Overlapping} {Generations}},
     journal = {Contributions to game theory and management},
     pages = {310--320},
     publisher = {mathdoc},
     volume = {5},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2012_5_a27/}
}
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Stefan Wrzaczek; Ekaterina Shevkoplyas; Sergey Kostyunin. Differential Game of Pollution Control with Overlapping Generations. Contributions to game theory and management, Tome 5 (2012), pp. 310-320. http://geodesic.mathdoc.fr/item/CGTM_2012_5_a27/