Exponential and Algebraic Relaxation in Kinetic Models for Wealth Distribution

Exponential and Algebraic Relaxation in Kinetic Models for Wealth Distribution
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财富分配动力学模型中的指数和代数弛豫

DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
G. Toscani
G. Toscani
中科院分区：
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文献类型：
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作者：
Bertram Düring;D. Matthes;G. Toscani

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两类动力学模型的财富分配在简单的市场经济中进行了比较，鉴于他们的速度放松平稳的Wasserstein度量。我们证明了快速（指数）收敛的模型与风险投资引入Cordier，Pareschi和Toscani，7和慢（代数）收敛的模型与淬火储蓄倾向的Chakrabarti，Chatterjee和Manna.3数值实验证实了分析结果。
Two classes of kinetic models for wealth distribution in simple market economies are compared in view of their speed of relaxation towards stationarity in a Wasserstein metric. We prove fast (exponential) convergence for a model with risky investments introduced by Cordier, Pareschi and Toscani,7 and slow (algebraic) convergence for the model with quenched saving propensities of Chakrabarti, Chatterjee and Manna.3 Numerical experiments confirm the analytic results.