Geodesic
On Volterra functional operator games on a~given set
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 3 (2011) no. 1, pp. 91-117

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The paper is devoted to obtaining the sufficient conditions of $\varepsilon$-equilibrium in the sense of piecewise program strategies in antagonistic games associated with nonlinear controlled functional operator equations and cost functional of a general enough form. The concept of piecewise program strategies is defined on the base of a concept of Volterra set chain for operators involved in the equations controlled by the opponent players. The reduction of controlled distributed parameter systems to an equation of the type under study is illustrated by examples.
Keywords: functional operator game, nonlinear functional operator equations, piecewise program strategies, $\varepsilon$-equilibrium.
Mots-clés : Volterra set chain 
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     author = {Andrey V. Chernov},
     title = {On {Volterra} functional operator games on a~given set},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {91--117},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2011_3_1_a4/}
}
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Andrey V. Chernov. On Volterra functional operator games on a~given set. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 3 (2011) no. 1, pp. 91-117. http://geodesic.mathdoc.fr/item/MGTA_2011_3_1_a4/