Geodesic
Coalitional Pareto optimal solution of one differential game
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 63 (2024), pp. 18-36

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This paper is devoted to the differential positional coalitional games with non-transferable payoffs (games without side payments). We believe that the researches of the objection and counter-objection equilibrium for non-cooperative differential games that have been carried out over the last years allow to cover some aspects of non-transferable payoff coalitional games. In this paper we consider the issues of the internal and external stability of coalitions in the class of positional differential games. For a differential positional linear-quadratic six-player game with a two-coalitional structure, the coefficient constraints are obtained which provide an internal and external stability of the coalitional structure.
Keywords: Nash equilibrium, objections and counter-objections equilibrium, Pareto optimality
Mots-clés : coalition 
@article{IIMI_2024_63_a1,
     author = {V. I. Zhukovskii and L. V. Zhukovskaya and S. N. Sachkov and E. N. Sachkova},
     title = {Coalitional {Pareto} optimal solution of one differential game},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {18--36},
     publisher = {mathdoc},
     volume = {63},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2024_63_a1/}
}
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V. I. Zhukovskii; L. V. Zhukovskaya; S. N. Sachkov; E. N. Sachkova. Coalitional Pareto optimal solution of one differential game. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 63 (2024), pp. 18-36. http://geodesic.mathdoc.fr/item/IIMI_2024_63_a1/