群体关系、韧性和易经

摘要：

我们评估的鲁棒性和适应性的社会群体与异构代理，其特征在于他们的二元状态，他们改变这种状态的能力，他们的地位和他们的首选关系，其他代理。为了定义群的结构，我们将\emph{I Ching}的卦运算化。根据社会影响理论，代理人的关系和属性被用来量化他们的影响。从这些影响值，我们得到一个加权的稳定性措施，涉及三个代理，这是基于加权平衡理论的三合会。它允许量化的鲁棒性的群体，并提出了一种新的措施，结合鲁棒性和适应性的群体弹性。随机方法确定找到鲁棒和自适应组的概率。讨论的重点是我们的方法的推广。

英文摘要：

We evaluate the robustness and adaptivity of social groups with heterogeneous agents that are characterized by their binary state, their ability to change this state, their status and their preferred relations to other agents. To define group structures, we operationalize the hexagrams of the \emph{I Ching}. The relations and properties of agents are used to quantify their influence according to the social impact theory. From these influence values we derive a weighted stability measure for triads involving three agents, which is based on the weighted balance theory. It allows to quantify the robustness of groups and to propose a novel measure for group resilience which combines robustness and adaptivity. A stochastic approach determines the probabilities to find robust and adaptive groups. The discussion focuses on the generalization of our approach.

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