Equilibrium in $n$-player competitive game of timing
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 1, pp. 67-86
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Each player in the game of timing has to decide his time to shoot under the condition that he is not informed of the shooting times of his rivals. That is, we deal with silent games of timing. In the terms of games of timing can be formulated the auctions, games of war of attrition, competitive prediction of a random variable, etc. Using the symmetry we derive the equation to determine the equilibrium in these games.
Keywords:
game of timing, $n$-person game, equilibrium, war of attrition, prediction of random variable.
@article{MGTA_2009_1_1_a3,
author = {Vladimir Mazalov and Minoru Sakaguchi},
title = {Equilibrium in $n$-player competitive game of timing},
journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
pages = {67--86},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MGTA_2009_1_1_a3/}
}
TY - JOUR AU - Vladimir Mazalov AU - Minoru Sakaguchi TI - Equilibrium in $n$-player competitive game of timing JO - Matematičeskaâ teoriâ igr i eë priloženiâ PY - 2009 SP - 67 EP - 86 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MGTA_2009_1_1_a3/ LA - ru ID - MGTA_2009_1_1_a3 ER -
Vladimir Mazalov; Minoru Sakaguchi. Equilibrium in $n$-player competitive game of timing. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 1 (2009) no. 1, pp. 67-86. http://geodesic.mathdoc.fr/item/MGTA_2009_1_1_a3/