期刊
KINETIC AND RELATED MODELS
卷 2, 期 1, 页码 135-149出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2009.2.135
关键词
Sociodynamics; linear Boltzmann equation; Fokker-Planck equation; opnion formation
资金
- Italian MIUR
We describe here a possible approach to the formation of choice in a society by methods borrowed from the kinetic theory of rarefied gases. It is shown that the evolution of the continuous density of opinions obeys a linear Boltzmann equation where the background density represents the fixed distribution of possible choices. The binary interactions between individuals are in general non-local, and take into account both the compromise propensity and the self-thinking. In particular regimes, the linear Boltzmann equation is well described by a Fokker-Planck type equation, for which in some cases the steady states (distribution of choices) can be obtained in analytical form. This Fokker-Planck type equation generalizes analogous one obtained by meanfield approximation of the voter model in [27]. Numerical examples illustrate the influence of different model parameters in the description both of the shape of the distribution of choices, and in its mean value.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据