Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 1, pp. 162-168
Citer cet article
E. B. Yanovskaya. The solution of the infinite zero-sum two-person games infinite-additive strategies. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 1, pp. 162-168. http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a20/
@article{TVP_1970_15_1_a20,
author = {E. B. Yanovskaya},
title = {The solution of the infinite zero-sum two-person games infinite-additive strategies},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {162--168},
year = {1970},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a20/}
}
TY - JOUR
AU - E. B. Yanovskaya
TI - The solution of the infinite zero-sum two-person games infinite-additive strategies
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1970
SP - 162
EP - 168
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a20/
LA - ru
ID - TVP_1970_15_1_a20
ER -
%0 Journal Article
%A E. B. Yanovskaya
%T The solution of the infinite zero-sum two-person games infinite-additive strategies
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1970
%P 162-168
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a20/
%G ru
%F TVP_1970_15_1_a20
General infinite zero-sum two-person games are considered. The only assumption is that the pay-off function is bounded. The concept of finite-additive strategy is introduced, and the payoff is determined in terms of such strategies. The existence of the value of a finite-additive extension of the game is proved.
