To solve the choice of multi-objective game’s equilibria, we construct general bargaining games called self-bargaining games, and define their individual welfare functions with three appropriate axioms. According to the individual welfare functions, we transform the multi-objective game into a single-objective game and define its bargaining equilibrium, which is a Nash equilibrium of the single-objective game. And then, based on certain continuity and concavity of the multi-objective game’s payoff function, we proof the bargaining equilibrium still exists and is also a weakly Pareto-Nash equilibrium. Moreover, we analyze several special bargaining equilibria, and compare them in a few examples.

为了解决多目标博弈均衡的选择，我们构造了称为自讨价还价博弈的一般讨价还价博弈，并用三个适当的公理定义了它们的个体福利函数。根据个体福利函数，将多目标博弈转换为单目标博弈，并定义其讨价还价均衡，这是单目标博弈的纳什均衡。然后，基于多目标博弈的收益函数的一定连续性和凹性，我们证明了讨价还价均衡仍然存在，并且也是一个弱的帕累托-纳什均衡。此外，我们分析了几种特殊的讨价还价均衡，并在一些示例中进行了比较。