Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 1, pp. 198-203
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M. M. Lucenko. The problem of $\delta$-meeting on a $3$-dimensional ball. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 1, pp. 198-203. http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a20/
@article{TVP_1978_23_1_a20,
author = {M. M. Lucenko},
title = {The problem of $\delta$-meeting on a~$3$-dimensional ball},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {198--203},
year = {1978},
volume = {23},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a20/}
}
TY - JOUR
AU - M. M. Lucenko
TI - The problem of $\delta$-meeting on a $3$-dimensional ball
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1978
SP - 198
EP - 203
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a20/
LA - ru
ID - TVP_1978_23_1_a20
ER -
%0 Journal Article
%A M. M. Lucenko
%T The problem of $\delta$-meeting on a $3$-dimensional ball
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1978
%P 198-203
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1978_23_1_a20/
%G ru
%F TVP_1978_23_1_a20
An infinite non-zero-sum two-person game with payoff function $$ L_{\delta}(x,y)= \begin{cases} 1, &\rho(x,y)\le\delta,\\ 0, &\rho(x,y)>\delta, \end{cases} \qquad(x\in X,y\in Y) $$ (where $X$, $Y$ are $3$-dimensional unit balls) is considered. A solution of this game for $0,475<\delta<1$ is given.
