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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Order preservation in a generalized version of Krause's opinion dynamics model
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Order preservation in a generalized version of Krause's opinion dynamics model

机译：Krause观点动力学模型的广义版本中的订单保留

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Krause's model of opinion dynamics has recently been the subject of several studies, partly because it is one of the simplest multi-agent systems involving position-dependent changing topologies. In this model, agents have an opinion represented by it real number and they update it by averaging those agent opinions distant from their opinion by less than a certain interaction radius. Some results obtained on this model rely on the fact that the opinion orders remain unchanged under iteration, a property that is consistent with the intuition in models with simultaneous updating on a fully connected communication topology. Several variations of this model have been proposed. We show that some natural variations are not order preserving and therefore cause potential problems with the theoretical analysis and the consistence with the intuition. We consider a generic version of Krause's model parameterized by an "influence function" that encapsulates most of the variations proposed in the literature. We then derive a necessary and sufficient condition on this function for the opinion order to be preserved. (C) 2008 Elsevier B.V. All rights reserved.
机译：克劳斯的观点动力学模型最近已成为数项研究的主题，部分原因是它是涉及位置依赖的变化拓扑的最简单的多主体系统之一。在此模型中，业务代表具有以实数表示的观点，并且通过将与他们的观点相距小于某个交互作用半径的那些代表观点进行平均来更新它。在此模型上获得的一些结果依赖于以下事实：迭代过程中意见顺序保持不变，这一属性与模型中的直觉相一致，并且在完全连接的通信拓扑上同时进行更新。已经提出了该模型的几种变型。我们表明，某些自然变化不能保持顺序，因此会在理论分析和与直觉的一致性方面引起潜在的问题。我们考虑通过“影响函数”参数化的Krause模型的通用版本，该函数封装了文献中提出的大多数变体。然后，我们在此功能上得出一个必要和充分的条件，以便保留意见顺序。 （C）2008 Elsevier B.V.保留所有权利。

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