Geodesic
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

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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. 
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     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},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_1_a20/}
}
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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/