Geodesic
Pareto equilibrium of objections and counterobjections in a differential game of three persons
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 1, pp. 39-72

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The linear-quadratic positional differential game of three persons is considered. The coefficient criteria are established, here when they are realized there is no Nash equilibrium situation in the game and at the same time there is an equilibrium of objections and counterobjections.
Keywords: noncooperative games; Nash equilibrium; active equilibrium; equilibrium of objections and counterobjections. 
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     author = {Vladislav I. Zhukovskii and Juliya N. Zhiteneva and Juliya A. Belskikh},
     title = {Pareto equilibrium of objections and counterobjections in a differential game of three persons},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {39--72},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2019_11_1_a2/}
}
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Vladislav I. Zhukovskii; Juliya N. Zhiteneva; Juliya A. Belskikh. Pareto equilibrium of objections and counterobjections in a differential game of three persons. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 11 (2019) no. 1, pp. 39-72. http://geodesic.mathdoc.fr/item/MGTA_2019_11_1_a2/