多智能体社会中偏好形成的流体动力学模型
Hydrodynamic models of preference formation in multi-agent societies
AI总结：
本文研究多智能体社会中偏好形成的流体动力学模型，通过从底层动力学模型推导局部平衡分布，将包含个人偏好微观变量的意见形成动力学方程过渡到流体动力学方程，数值实验揭示了意见与偏好区分在选择过程中的关键作用。
摘要：
本文探讨了从意见形成的动力学模型向流体动力学方程的过渡。所考虑的动力学模型具有一个意见密度，该密度取决于一个额外的微观变量，该变量被识别为个人偏好。该变量描述了一个由意见驱动的极化过程，最终导致在若干可能选项中做出选择，正如在全民公投或选举中所发生的那样。与稀薄气体动力学理论类似，流体动力学方程的推导主要基于从底层动力学模型计算意见的局部平衡分布。若干数值算例验证了所得模型，阐明了意见与偏好形成之间的区分在多智能体社会选择过程中所起的关键作用。
英文摘要：
In this paper, we discuss the passage to hydrodynamic equations for kinetic models of opinion formation. The considered kinetic models feature an opinion density depending on an additional microscopic variable, identified with the personal preference. This variable describes an opinion-driven polarisation process, leading finally to a choice among some possible options, as it happens e.g. in referendums or elections. Like in the kinetic theory of rarefied gases, the derivation of hydrodynamic equations is essentially based on the computation of the local equilibrium distribution of the opinions from the underlying kinetic model. Several numerical examples validate the resulting model, shedding light on the crucial role played by the distinction between opinion and preference formation on the choice processes in multi-agent societies.
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