This article considers the problem of finding the optimal strategies in stochastic differential games with two players, using the weak infinitesimal operator of process xi the solution of d(xi) = f(xi,t,u1,u2)dt + sigma(xi,t,u1,u2)dW. For two-person zero-sum stochastic games we formulate the minimax solution; analogously, we perform the solution for coordination and non-cooperative stochastic differential games.
@article{urn:eudml:doc:39276,
title = {Weak infinitesimal operators and stochastic differential games.},
journal = {Stochastica},
volume = {13},
year = {1992},
pages = {5-12},
zbl = {0769.90086},
mrnumber = {MR1197322},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39276}
}
Ardanuy, Ramón; Alcalá, A. Weak infinitesimal operators and stochastic differential games.. Stochastica, Tome 13 (1992) pp. 5-12. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39276/