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arXiv 0810.3029physics.soc-phcond-mat.dis-nnmath-phmath.MP
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一个简单的社会互动平均场模型的参数估计

Parameter Evaluation of a Simple Mean-Field Model of Social Interaction

Ignacio Gallo, Adriano Barra, Pierluigi Contucci

摘要:

这项工作的目的是实现社会互动的统计力学理论,推广计量经济学离散选择模型。介绍了一类简单的平均场离散模型,并从理论和唯象的角度对它们进行了讨论。我们提出了一个参数评估程序,并通过拟合我们的模型对来自不同情况下的三个家庭的数据进行测试:估计的相互作用参数被发现有类似的正值,建立在社会心理学中发现的同伴模仿行为的定量确认。此外,所有的相互作用参数的值属于相变制度,这表明它在社会系统的研究中可能的作用。

英文摘要:

The aim of this work is to implement a statistical mechanics theory of social interaction, generalizing econometric discrete choice models. A class of simple mean field discrete models is introduced and discussed both from the theoretical and phenomenological point of view. We propose a parameter evaluation procedure and test it by fitting our model against three families of data coming from different cases: the estimated interaction parameters are found to have similar positive values establishing a quantitative confirmation of the peer imitation behavior found in social psychology. Moreover all the values of the interaction parameters belong to the phase transition regime suggesting its possible role in the study of social systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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