Non-cooperative three-person games with fixed hierarchical structure
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 896-911
Voir la notice de l'article provenant de la source Math-Net.Ru
A definition, generalizing Germeier's definition for a two"-person game, is given for a three-person game with fixed hierarchical structure. The (first player's) optimal informational extension of the initial game is constructed and the determination of the first player's best guaranteed result and optimal strategy is reduced to solving a series of optimization problems. The influence of the player's information patterns on the result of the game is studied.
@article{ZVMMF_1979_19_4_a10,
author = {N. S. Kukushkin},
title = {Non-cooperative three-person games with fixed hierarchical structure},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {896--911},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a10/}
}
TY - JOUR AU - N. S. Kukushkin TI - Non-cooperative three-person games with fixed hierarchical structure JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 896 EP - 911 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a10/ LA - ru ID - ZVMMF_1979_19_4_a10 ER -
N. S. Kukushkin. Non-cooperative three-person games with fixed hierarchical structure. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 896-911. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a10/