Geodesic
A differential game of pollution control with participation of developed and~developing countries
Contributions to game theory and management, Tome 8 (2015), pp. 64-83.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, a 2-player non-cooperative differential game is considered. We assume that he first player is a developed country with linear-quadratic utility function while the second player is a developing country whose utility function explicitely depends on time. Furthermore, the duration of the game is considered to be a random variable which reflects the instability of the economical development of developing countries. In the paper the duration of the game is assumed to be exponentially distributed. The optimal strategies are sought in the class of open-loop strategies.
Keywords: pollution control, differential games, cooperative games, random time horizon. 
@article{CGTM_2015_8_a6,
     author = {Ekaterina Gromova and Kristina Plekhanova},
     title = {A differential game of pollution control with participation of developed and~developing countries},
     journal = {Contributions to game theory and management},
     pages = {64--83},
     publisher = {mathdoc},
     volume = {8},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2015_8_a6/}
}
TY  - JOUR
AU  - Ekaterina Gromova
AU  - Kristina Plekhanova
TI  - A differential game of pollution control with participation of developed and~developing countries
JO  - Contributions to game theory and management
PY  - 2015
SP  - 64
EP  - 83
VL  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2015_8_a6/
LA  - en
ID  - CGTM_2015_8_a6
ER  - 
%0 Journal Article
%A Ekaterina Gromova
%A Kristina Plekhanova
%T A differential game of pollution control with participation of developed and~developing countries
%J Contributions to game theory and management
%D 2015
%P 64-83
%V 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2015_8_a6/
%G en
%F CGTM_2015_8_a6
Ekaterina Gromova; Kristina Plekhanova. A differential game of pollution control with participation of developed and~developing countries. Contributions to game theory and management, Tome 8 (2015), pp. 64-83. http://geodesic.mathdoc.fr/item/CGTM_2015_8_a6/

[1] Masoudi N., Zaccour G., “A differential game of international pollution control with evolving environmental costs”, Environment and Development Economics, 18 (2013), 680–700

[2] Gromov D., Gromova E. V., “Differential games with random duration: a hybrid systems formulation”, Contributions to Game Theory and Management, 7 (2014), 104–119 | MR

[3] Kostyunin S., Shevkoplyas E., “On simplification of integral payoff in differential games with random duration”, Vestnik S. Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 4 (2011), 47–56

[4] Von Neumann J., Morgenstern O., Theory of Games and Economic Behavior, Princeton University Press, 1944, 1953 pp. | MR | Zbl

[5] Petrosjan L., Zaccour G., “Time-consistent Shapley value allocation of pollution cost reduction”, J. of economic dynamics and control, 27:3 (2003) | MR | Zbl

[6] Reddy P. V., Zaccour G., A friendly computable characteristic function, GERAD Research Report G-2014-78, 2014

[7] Petrosyan L., Gromova E., “Two-level cooperation in coalitional differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 193–203

[8] Petrosyan L., “Consistency of the solutions in differential games with many players”, Vestnik Leningrad Univ., 4 (1977), 46–52