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. 
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     author = {Sergey Kostyunin},
     title = {Differential {Games} with {Random} {Terminal} {Instants}},
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     url = {http://geodesic.mathdoc.fr/item/CGTM_2013_6_a15/}
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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/

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