Geodesic
Cooperative optimality principals in differential games on networks
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 12 (2020) no. 4, pp. 93-111

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The paper describes a class of differential games on networks. The construction of cooperative optimality principles using a special type of characteristic function that takes into account the network structure of the game is investigated. The core, the Shapley value and the $\tau$-value are used as cooperative optimality principles. The results are demonstrated on a model of a differential research investment game, where the Shapley value and the $\tau$-value are explicitly constructed.
Keywords: differential games, games on networks, cooperative game. 
@article{MGTA_2020_12_4_a5,
     author = {Anna V. Tur and Leon A. Petrosyan},
     title = {Cooperative optimality principals in differential games on networks},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {93--111},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2020_12_4_a5/}
}
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Anna V. Tur; Leon A. Petrosyan. Cooperative optimality principals in differential games on networks. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 12 (2020) no. 4, pp. 93-111. http://geodesic.mathdoc.fr/item/MGTA_2020_12_4_a5/