Non-cooperative three-person games with fixed hierarchical structure
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 896-911

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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.
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     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/}
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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/