Geodesic
On the existence of IDP-core in cooperative differential games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 4, pp. 18-38

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In this paper we consider differential games with transferable utility and study of non-emptiness property of IDP-core presented in [7]. We apply methods of linear programming first applied in the paper [23] for analyzing non-emptiness of the Core. With described methods we construct necessary and sufficient conditions for IDP-core to be non-empty. This conditions are formalized for each time instant on which the game is defined and are imposed on a set of imputation distribution procedures (IDPs) corresponding to IDP-core.
Keywords: cooperative differential games, cooperative games, IDP-core, SC-core, linear programming. 
@article{MGTA_2017_9_4_a1,
     author = {Dmitry A. Wolf and Victor V. Zakharov and Ovanes L. Petrosian},
     title = {On the existence of {IDP-core} in cooperative differential games},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {18--38},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2017_9_4_a1/}
}
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Dmitry A. Wolf; Victor V. Zakharov; Ovanes L. Petrosian. On the existence of IDP-core in cooperative differential games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 4, pp. 18-38. http://geodesic.mathdoc.fr/item/MGTA_2017_9_4_a1/