The report is devoted to a numerical algorithm for the construction of Nash equilibrium solutions (including non-improvable ones) in a non-antagonistic positional differential game with two players, terminal payoff functionals, geometric constraints on choice of controls and dynamics with separating right part. Formalization of the players's strategies and motions generated by those strategies is based upon formalization and results of the theory of antagonistic positional differential games developed by N.N. Krasovskii and his scientific school. The problem of game solutions construction is reduced to the solution of non- standard optimal control problems. The numerical algorithm uses a number of computational geometry algorithms
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