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We study a nonzero-sum game of two players which is a generalization of theantagonistic noisy duel of discrete type. The game is considered from the pointof view of various criterions of optimality. We prove existence ofepsilon-equilibrium situations and show that the epsilon-equilibrium strategiesthat we have found are epsilon-maxmin. Conditions under which the equilibriumplays are Pareto-optimal are given.  Keywords: noisy duel, payoff function, strategy, equilibrium situation,Pareto optimality, the value of a game.

Nonantagonistic noisy duels of discrete type with an arbitrary number of actions