We study the stability of coalitions in multicriteria dynamic games. We use the bargaining construction (Nash product) to obtain a noncooperative equilibrium and the Nash bargaining scheme for the entire duration of the game to find a cooperative solution. Conditions for the internal and external stability are extended to dynamic games with vector payoff functions. The notion of coalitional stability, which takes into account the stimuli for the players to transfer to other coalitions, is introduced. To illustrate the presented approach, we consider a multicriteria dynamic model of bioresource management. Conditions for the internal, external, and coalitional stability are presented.

中文翻译：

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多准则动态博弈中的联盟稳定性条件

我们研究了多准则动态博弈中联盟的稳定性。我们使用讨价还价构造（纳什乘积）来获得非合作均衡，并且在整个游戏过程中使用纳什讨价还价方案来找到合作解决方案。内部和外部稳定性的条件扩展到具有向量支付功能的动态游戏。引入了联盟稳定的概念，其中考虑了玩家转移到其他联盟的刺激。为了说明所提出的方法，我们考虑了生物资源管理的多准则动态模型。提出了内部，外部和联盟稳定的条件。