Geodesic
On a game of Borel
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 558-561 
A. I. Sobolev. On a game of Borel. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 558-561. http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a15/
@article{TVP_1970_15_3_a15,
     author = {A. I. Sobolev},
     title = {On a~game of {Borel}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {558--561},
     year = {1970},
     volume = {15},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a15/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A two-person game with pure strategies of players \begin{gather*} X=(x_1,x_2,x_3),\quad x_i\ge0,\quad x_1+x_2+x_3=1; \\ Y=(y_1,y_2,y_3),\quad y_i\ge0,\quad y_1+y_2+y_3=1, \end{gather*} and the payoff $H(X,Y)=\operatorname{sign}(y_1-x_1)(y_2-x_2)(y_3-x_3)$ is studied. A class of solutions of this game is given.