In this paper, the results of the author’s previous work concerning a nonzero-sum positional differential game of two persons with different types of the players’ behavior are extended to a game of three persons. For simplicity, the paradoxical type of behavior is not used by the players. The notions of altruistic and aggressive behavior types are generalized. As in the two-person game, it is assumed that each player chooses not only a positional strategy but also an indicator program function. The rules for forming controls for each triple of behavior types and the definition of a BT-solution are clarified. An example of a game with the dynamics of simple motion on a plane and a phase constraint is considered. It is assumed that the players can show altruism and aggression towards their partners, and the case of simultaneous aggression from all the players is not excluded. A description of BT-solutions of the game is given.

中文翻译：

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三人非零和位置差分博弈中的利他行为和攻击行为类型。

在本文中，作者先前关于两个具有不同行为者类型的人的非零和位置微分游戏的工作结果被扩展为三个人的游戏。为简单起见，玩家没有使用自相矛盾的行为。利他行为和侵略行为类型的概念已得到概括。与两人游戏一样，假定每个玩家不仅选择位置策略，还选择指标程序功能。阐明了为每种行为类型的三元组形成控件的规则以及BT解决方案的定义。考虑具有平面上的简单运动的动力学并且具有相位约束的游戏的示例。假设玩家可以表现出对伙伴的利他主义和侵略性，并且不排除所有玩家同时进攻的情况。给出了游戏的BT解决方案的描述。