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摘要翻译：
我们考虑了一个城市租赁住房市场的简单随机模型，其中租户和房东的相互作用导致租金波动。我们对模型进行了数值模拟，并测量了均衡地租分布，发现其接近于对数正态分布规律。我们还研究了代理人密度（或等效的空置率）对租金分布的影响。本文研究了一个简化的模型，便于分析处理，并导出了租金的对数正态分布。预测的平衡值与数值模拟结果定量一致，标准差定性一致。还强调了与棘轮等非平衡统计物理模型的联系。
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英文标题：
《Dynamical fluctuations in a simple housing market model》
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作者：
R\'emi Lemoy, Eric Bertin
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最新提交年份：
2012
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分类信息：
一级分类：Quantitative Finance 数量金融学
二级分类：General Finance 一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Physics and Society 物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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英文摘要：
We consider a simple stochastic model of a urban rental housing market, in which the interaction of tenants and landlords induces rent fluctuations. We simulate the model numerically and measure the equilibrium rent distribution, which is found to be close to a lognormal law. We also study the influence of the density of agents (or equivalently, the vacancy rate) on the rent distribution. A simplified version of the model, amenable to analytical treatment, is studied and leads to a lognormal distribution of rents. The predicted equilibrium value agrees quantitatively with numerical simulations, while a qualitative agreement is obtained for the standard deviation. The connection with non-equilibrium statistical physics models like ratchets is also emphasized.
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PDF链接：
https://arxiv.org/pdf/1203.5298
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