Geodesic
Hybrid problem of dynamic control with three participants in the presence of altruistic and aggressive behavior types
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 4, pp. 18-41

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The paper is close to [5] where a two-step hybrid dynamic control problem with three participants was considered; it was shown that in some cases it is profitable for the owner of management resources to sell a part of them to another participant(s) (assuming that the payoffs are transferable). This paper is also close to [4] where aggressive and altruistic types of behavior were allowed for the participants in three players differential game; then the players can apply the so-called $BT$-solutions which are better than the Nash ones. The developed in this paper approach is illustrated by a two-step control problem on a plane with the dynamics of simple motions in the presence of altruistic and aggressive behavior types.
Keywords: hybrid control problem, non-antagonistic differential game of two and three persons, altruistic and aggressive types of behavior, Nash solutions
Mots-clés : $BT$-solutions. 
@article{MGTA_2021_13_4_a1,
     author = {Anatoly F. Kleimenov},
     title = {Hybrid problem of dynamic control with three participants in the presence of altruistic and aggressive behavior types},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {18--41},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2021_13_4_a1/}
}
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Anatoly F. Kleimenov. Hybrid problem of dynamic control with three participants in the presence of altruistic and aggressive behavior types. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 4, pp. 18-41. http://geodesic.mathdoc.fr/item/MGTA_2021_13_4_a1/