Geodesic
Nash equilibrium for differential game and nonanticipative strategies technique
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 3, pp. 3-20

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

We consider two person nonzero-sum games in the class of nonanticipative strategies. The Nash equilibrium for this case is defined. Also we give the characterization of Nash equilibrium strategies. It is shown that the Nash equilibrium solution in the class of nonanticipative strategies can be approximated by the strategies with the model.
Keywords: Nash equilibrium, nonanticipative strategies, control with model. 
@article{MGTA_2012_4_3_a0,
     author = {Yurii V. Averboukh},
     title = {Nash equilibrium for differential game and nonanticipative strategies technique},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--20},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a0/}
}
TY  - JOUR
AU  - Yurii V. Averboukh
TI  - Nash equilibrium for differential game and nonanticipative strategies technique
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2012
SP  - 3
EP  - 20
VL  - 4
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a0/
LA  - ru
ID  - MGTA_2012_4_3_a0
ER  - 
%0 Journal Article
%A Yurii V. Averboukh
%T Nash equilibrium for differential game and nonanticipative strategies technique
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2012
%P 3-20
%V 4
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a0/
%G ru
%F MGTA_2012_4_3_a0
Yurii V. Averboukh. Nash equilibrium for differential game and nonanticipative strategies technique. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 3, pp. 3-20. http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a0/