Geodesic
A model of a two-level hierarchical system with cooperative behavior of lower-level elements
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 4, pp. 28-53

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One of the possible generalizations to the case of many persons of the classical hierarchical Germeier game is investigated. It is assumed that the lower level players choose one of the weakly efficient points. The maximal guaranteed result of the top-level player is calculated. Two variants of formulation of the problems are considered: games with and without feedback.
Keywords: hierarchical games, maximal guaranteed result, multi-objective problems. 
@article{MGTA_2023_15_4_a1,
     author = {Mikhail A. Gorelov},
     title = {A model of a two-level hierarchical system with cooperative behavior of lower-level elements},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {28--53},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2023_15_4_a1/}
}
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Mikhail A. Gorelov. A model of a two-level hierarchical system with cooperative behavior of lower-level elements. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 15 (2023) no. 4, pp. 28-53. http://geodesic.mathdoc.fr/item/MGTA_2023_15_4_a1/