2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136188We study a nonzero-sum game of two players which is a generalization of the antagonistic noisy duel of discrete type. The game is considered from the point of view of various criterions of optimality. We prove existence of epsilon-equilibrium situations and show that the epsilon-equilibrium strategies that we have found are epsilon-maxmin. Conditions under which the equilibrium plays are Pareto-optimal are given. Keywords: noisy duel, payoff function, strategy, equilibrium situation, Pareto optimality, the value of a game.LaTeX 2e, 22 pages; replaced to correct TeXnical mistakes and typosOptimization and ControlComputer Science and Game TheoryProbabilitytext