A mixed duel under arbitrary motion and uncertain existence of the shot
Applicationes Mathematicae, Tome 22 (1993) no. 1, pp. 39-44
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The purpose of the paper is to solve a mixed duel in which the numbers of shots given to the players are independent 0-1-valued random variables. The players know their distributions as well as the accuracy function P, the same for both players. It is assumed that the players can move as they like and that the maximal speed of the first player is greater than that of the second player. It is shown that the game has a value, and a pair of optimal strategies is found.
DOI :
10.4064/am-22-1-39-44
Keywords:
zero-sum game, mixed duel, game of timing
Affiliations des auteurs :
Stanisław Trybuła 1
@article{10_4064_am_22_1_39_44,
author = {Stanis{\l}aw Trybu{\l}a},
title = {A mixed duel under arbitrary motion and uncertain existence of the shot},
journal = {Applicationes Mathematicae},
pages = {39--44},
publisher = {mathdoc},
volume = {22},
number = {1},
year = {1993},
doi = {10.4064/am-22-1-39-44},
zbl = {0805.90145},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-22-1-39-44/}
}
TY - JOUR AU - Stanisław Trybuła TI - A mixed duel under arbitrary motion and uncertain existence of the shot JO - Applicationes Mathematicae PY - 1993 SP - 39 EP - 44 VL - 22 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/am-22-1-39-44/ DO - 10.4064/am-22-1-39-44 LA - en ID - 10_4064_am_22_1_39_44 ER -
%0 Journal Article %A Stanisław Trybuła %T A mixed duel under arbitrary motion and uncertain existence of the shot %J Applicationes Mathematicae %D 1993 %P 39-44 %V 22 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/am-22-1-39-44/ %R 10.4064/am-22-1-39-44 %G en %F 10_4064_am_22_1_39_44
Stanisław Trybuła. A mixed duel under arbitrary motion and uncertain existence of the shot. Applicationes Mathematicae, Tome 22 (1993) no. 1, pp. 39-44. doi: 10.4064/am-22-1-39-44
Cité par Sources :