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Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 3, Pages 554–555
(Mi tvp405)
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This article is cited in 4 scientific papers (total in 4 papers)
Short Communications
Minimax Theorems for Games on Unit Square
E. B. Janovskaya Leningrad
Abstract:
We consider a class of infinite games with unbounded cores and establish the existence of their value. It is shown that a game with the core
$$
K(x,y)=\begin{cases}
L(x,y),&x<y,
\\
\varphi(x),&x=y,
\\
M(x,y),&x>y,
\end{cases}
$$
where the functions $L$ and $M$ are defined and continuous on the triangles $0\leqq x\leqq y\leqq 1$, $0\leqq y\leqq x\leqq 1$, respectively, the function $\varphi$ is arbitrary and $L(0,0)\geqq M(0,0)$, $L(1,1)\leqq M(1,1)$, is a game with value.
Received: 13.05.1964
Citation:
E. B. Janovskaya, “Minimax Theorems for Games on Unit Square”, Teor. Veroyatnost. i Primenen., 9:3 (1964), 554–555; Theory Probab. Appl., 9:3 (1964), 500–502
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Abstract page: | 329 | Full-text PDF : | 103 | First page: | 1 |
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