Geodesic
Superadditive extension of characteristic functions for cooperative differential games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 12 (2020) no. 4, pp. 40-61

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The paper provides a constructive theorem that allows one to construct a superadditive characteristic function in a differential game based on a non-superadditive one. As an example, a differential game is considered in which the $ \delta $- and $\eta$-characteristic functions are not superadditive. An additional construction is carried out and it is shown that the obtained functions satisfy superadditivity.
Keywords: cooperative games, characteristic function, differential games, superadditivity. 
@article{MGTA_2020_12_4_a3,
     author = {Ekaterina V. Gromova and Ekaterina V. Marova},
     title = {Superadditive extension of characteristic functions for cooperative differential games},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {40--61},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2020_12_4_a3/}
}
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Ekaterina V. Gromova; Ekaterina V. Marova. Superadditive extension of characteristic functions for cooperative differential games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 12 (2020) no. 4, pp. 40-61. http://geodesic.mathdoc.fr/item/MGTA_2020_12_4_a3/