Petrosyan, Leon AganesovichLeon AganesovichPetrosyanProf. YEUNG Wing Kay, DavidDavidProf. YEUNG Wing Kay2023-11-202023-11-202019Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2019, Vol. 25(1), pp. 166-173.0134488926584786http://hdl.handle.net/20.500.11861/8672A two-level game is considered. At the first level, the set of players N is partitioned into coalitions Si ⊂ N, i = 1, . . ., m, such that Si ∩ Sj = ∅ for i 6= j and each coalition plays against other coalitions a non-zero-sum cooperative differential game with prescribed duration and nontransferable payoffs. At the second level, within each coalition, the players are engaged in a cooperative differential game with prescribed duration and transferrable payoffs. The concept of solution is proposed for this type of two-level games. The properties of a solution, namely, its time consistency or dynamic stability, are studied. © 2019 Krasovskii Institute of Mathematics and Mechanics. All rights reserved.enPeer Reviewed Journal Article10.21538/0134-4889-2019-25-1-166-173