Geodesic
Differential Games with Random Terminal Instants
Contributions to game theory and management, Tome 6 (2013), pp. 222-230

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

We investigate a noncooperative differential game with two players. Each player has his own random terminal time. After the first player leaves the game, the remaining one continues and gets the final reward for winning. An example is introduced where two firms compete in extracting a unique nonrenewable resource over time. The optimal feedback strategy, i.e. the optimal extraction rate, is calculated in a closed form.
Keywords: Differential game, random terminal time, Hamilton–Jacobi–Bellman equation. 
@article{CGTM_2013_6_a15,
     author = {Sergey Kostyunin},
     title = {Differential {Games} with {Random} {Terminal} {Instants}},
     journal = {Contributions to game theory and management},
     pages = {222--230},
     publisher = {mathdoc},
     volume = {6},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2013_6_a15/}
}
TY  - JOUR
AU  - Sergey Kostyunin
TI  - Differential Games with Random Terminal Instants
JO  - Contributions to game theory and management
PY  - 2013
SP  - 222
EP  - 230
VL  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2013_6_a15/
LA  - en
ID  - CGTM_2013_6_a15
ER  - 
%0 Journal Article
%A Sergey Kostyunin
%T Differential Games with Random Terminal Instants
%J Contributions to game theory and management
%D 2013
%P 222-230
%V 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2013_6_a15/
%G en
%F CGTM_2013_6_a15
Sergey Kostyunin. Differential Games with Random Terminal Instants. Contributions to game theory and management, Tome 6 (2013), pp. 222-230. http://geodesic.mathdoc.fr/item/CGTM_2013_6_a15/