Geodesic
Strong equilibrium construction in a~noncooperative differential game
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 2 (2010) no. 2, pp. 42-65

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A strong equilibrium technique is proposed. It is based on a special scalarization of multicreteria problem. Sufficient conditions for strong equilibrium to exist are proved. The result is illustrated on asymmetric differential game with two players, where strong equilibrium is found in explicit form.
Keywords: differential game, Nash equilibrium, strong equilibrium. 
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     author = {Nikolay A. Zenkevich and Andrey V. Zyatchin},
     title = {Strong equilibrium construction in a~noncooperative differential game},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {42--65},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2010_2_2_a1/}
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Nikolay A. Zenkevich; Andrey V. Zyatchin. Strong equilibrium construction in a~noncooperative differential game. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 2 (2010) no. 2, pp. 42-65. http://geodesic.mathdoc.fr/item/MGTA_2010_2_2_a1/