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Non-Equilibrium Patterns in the Space of the Stock Market Prices

机译:股票市场价格空间中的非均衡模式

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摘要

Using a phenomenological approach, we analyse the formation and the propagation of the patterns (or 'dissipative structures") in the stock market, the spatial coordinate being the bid-offer spread y, as a function of which the spectrum φof deals is modelled. The stock market will be considered a distributed active medium that is a set of active elements (the brokers) interacting with others through deals (typically a diffusion process). The physical model used is the reaction-diffusion model. The reactive part of the reaction-diffusion equation is developed from a hot-spot mechanism, with a characteristic jump when φ passes the critical value φ_c. Solving the stationary equation according to the Dirichlet boundary conditions, we find the "hot deals" regions, meaning regions of speculative transactions. which can be considered "dissipation" as they do not contribute to the gross national product. The time propagation of these patterns in the one-dimensional space considered could explain the evolution of markets towards speculative bubbles. These are frequently met in the frame of emerging stock markets. Financial data, which illustrate the physical model refer to Romania's stock market, Bucharest S.E.
机译:使用现象学的方法,我们分析了股票市场中模式(或“耗散结构”)的形成和传播,其空间坐标为买入-卖出价差y,并据此对交易频谱进行建模。股市被认为是一种分布式的活跃媒介,是一组通过交易(通常是扩散过程)与其他人相互作用的活跃元素(经纪人)的集合,所使用的物理模型是反应扩散模型。 -扩散方程是从热点机制发展而来的,当φ超过临界值φ_c时会出现特征跳跃,根据Dirichlet边界条件求解平稳方程,我们发现了“热门交易”区域,即投机交易区域。可以认为这是“耗散”,因为它们对国民生产总值没有贡献。这些模式在一维空间中的时间传播可以解释为市场向投机泡沫的演变。这些都是在新兴股票市场中经常遇到的情况。说明物理模型的财务数据参考罗马尼亚的股票市场布加勒斯特S.E.

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