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Teoriya Veroyatnostei i ee Primeneniya, 1970, Volume 15, Issue 3, Pages 558–561
(Mi tvp1868)
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This article is cited in 1 scientific paper (total in 1 paper)
Short Communications
On a game of Borel
A. I. Sobolev Leningrad
Abstract:
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.
Received: 10.04.1968
Citation:
A. I. Sobolev, “On a game of Borel”, Teor. Veroyatnost. i Primenen., 15:3 (1970), 558–561; Theory Probab. Appl., 15:3 (1970), 540–544
Linking options:
https://www.mathnet.ru/eng/tvp1868 https://www.mathnet.ru/eng/tvp/v15/i3/p558
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