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Conference publications

The root - mean-square equilibrium in game problem

Matveev V.A.

"Математика. Компьютер. Образование". Cб. трудов XI международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2004. Vol. 2. Pp. 607-618.

In article a mathematical model as N person game with vector-valued payoffs is examined.Usually in such cases the Nash - Pareto equilibria are used. As a rule, there are an infinite set of such solutions. There is a refinement problem. The root-mean-square equilibrium is offered. In article the conditions of existence to such equilibrium are presented and a model example is considered.

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