论文标题
稳定的关系
Stable Relationships
论文作者
论文摘要
我们研究了两个国家之间依赖关系中“权力”的人之间关系的动态模型。我们对系统的稳定性进行了全面的分析，并确定一组稳定关系的条件。特别是，如果两个人都占主导地位，则可能会发生稳定的关系，但是主导之和低于由模型参数确定的约束。如果一个人占主导地位并且另一个人是顺从的，则也可以发生稳定的关系，前提是优势水平超过了顺从的水平，但不能超出阈值。我们还得出结论，如果两个人都顺从，则不可能建立稳定的关系。尽管我们的模型是由社会或浪漫关系的动机，但它也可以应用于专业或业务关系以及国家之间的外交关系。
We study a dynamic model of the relationship between two people where the states depend on the "power" in the relationship. We perform a comprehensive analysis of stability of the system, and determine a set of conditions under which stable relationships are possible. In particular, stable relationships can occur if both people are dominant, but the sum of dominances is below a bound determined by the model's parameters. Stable relationships can also occur if one person is dominant and the other is submissive, provided the level of dominance exceeds the level of submissiveness but not beyond a threshold. We also conclude that a stable relationship is not possible if both people are submissive. While our model is motivated by a social or romantic relationship, it can also be applied to professional or business relationships as well as diplomatic relationships between nations.
