ON ONE MODIFICATION OF NASH EQUILIBRIUM

By the end of last century there were four areas in mathematical theory positional differential games: non-coalitional games, cooperative, hierarchical and, finally, least-understood coalitional games. In their turn, games are divided into with transferable payoffs (games side payments when players can split profits course game) and non-transferable no such distributions for this or that reason). The being extensively explored at Faculties Applied Mathematics Management Processes St. Petersburg University Institute Information Technologies Petrozavodsk State (by Professors L.A. Petrosyan, V.V. Mozalov, E.M. Parilina, A.N. Rettieva numerous students). However, not always present even economic cooperation; moreover, be legislated against. We believe research equilibrium threats counter-threats (sanctions counter-sanctions) we have carried out over years allows to also cover some aspects payoff article considers issues namely internal external stability coalitions class coefficient constraints identified model a linear-quadratic game twin-coalitional structure six persons where is internally externally stable.