Weak infinitesimal operators and stochastic differential games.
Stochastica, Tome 13 (1992) no. 1, p. 5.

Voir la notice de l'article dans European Digital Mathematics Library

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.
Classification : 60G35, 91A05, 91A15, 91A23, 91A60
Mots-clés : Juegos estocásticos, Juegos diferenciales, Proceso de Markov, Criterio minimax, Estrategias óptimas, Operadores infinitesimales, Markov processes, minimax principle, optimal strategies in stochastic differential games, weak infinitesimal operator, two-person zero-sum stochastic games
@article{STO_1992__13_1_39276,
     author = {Ram\'on Ardanuy and A. Alcal\'a},
     title = {Weak infinitesimal operators and stochastic differential games.},
     journal = {Stochastica},
     pages = {5},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {1992},
     mrnumber = {MR1197322},
     zbl = {0769.90086},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/STO_1992__13_1_39276/}
}
TY  - JOUR
AU  - Ramón Ardanuy
AU  - A. Alcalá
TI  - Weak infinitesimal operators and stochastic differential games.
JO  - Stochastica
PY  - 1992
SP  - 5
VL  - 13
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/STO_1992__13_1_39276/
LA  - en
ID  - STO_1992__13_1_39276
ER  - 
%0 Journal Article
%A Ramón Ardanuy
%A A. Alcalá
%T Weak infinitesimal operators and stochastic differential games.
%J Stochastica
%D 1992
%P 5
%V 13
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/STO_1992__13_1_39276/
%G en
%F STO_1992__13_1_39276
Ramón Ardanuy; A. Alcalá. Weak infinitesimal operators and stochastic differential games.. Stochastica, Tome 13 (1992) no. 1, p. 5. https://geodesic-test.mathdoc.fr/item/STO_1992__13_1_39276/