论文标题
反馈互动模型
Feedback Interacting Urn Models
论文作者
论文摘要
我们介绍并讨论一种具有确定性相互作用的反馈相互作用模型的特殊类型。这是众所周知的Eggenberger和Polya（1923）urn模型的概括。在我们的模型中，取决于该urn的替换矩阵以及从其他一些urn选择的球的颜色，将球添加到特定的urn中。从长远来看，这种urn模型可以帮助研究各种相互作用模型在现实生活中如何行事。我们还引入了一种具有非确定性相互作用的特殊类型的相互作用模型，并研究了其行为。此外，我们提供了一些不错的例子，以说明这些相互作用的urn模型的各种后果。
We introduce and discuss a special type of feedback interacting urn model with deterministic interaction. This is a generalisation of the very well known Eggenberger and Polya (1923) urn model. In our model, balls are added to a particular urn depending on the replacement matrix of that urn and the color of ball chosen from some other urn. This urn model can help in studying how various interacting models might behave in real life in the long run. We have also introduced a special type of interacting urn model with non-deterministic interaction and studied its behaviour. Furthermore, we have provided some nice examples to illustrate the various consequences of these interacting urn models.
