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金融市场中自组织和有限尺寸效应的代理模型

Self-Organization and Finite Size Effects in Agent Models for Financial Markets
课程网址: http://videolectures.net/ccss09_pietronero_soafse/  
主讲教师: Luciano Pietronero
开课单位: 罗马大学
开课时间: 2009-07-10
课程语种: 英语
中文简介:
金融时间序列中随机游动行为的偏差被确定为风格化事实(SF),并且在所有市场上都很常见。主要原因是,波动比标准经济理论(高斯波动)预测的波动大得多,波动的聚集性和所有属性的显著非平稳性。许多基于代理的模型已经被提出来解释这些现象,其中一些确实能够重现其中的一些现象。然而,这种情况仍然存在问题,因为这些模型通常相当复杂,带有各种特殊的假设。这阻止了对这些效应的系统研究。因此,我们试图定义一个基于代理的可行模型[1],该模型包含基本元素,但在数学上简单且定义良好的框架中。此外,我们还考虑了一些新的重要因素,如过程在代理数量上的非平稳性和自组织问题。也就是说,考虑到在所有模型中,这仅限于一个非常窄的参数范围,所有市场都会自发地朝着与SF对应的情况发展。SF与有限尺寸效应(与时间和药剂数量n有关)相对应,但在不同的时间尺度下,这些效应是活跃的。这意味着用有效的临界指数来描述这些性质时,不能期望严格的普适性。在代理行为中引入一个阈值(小的价格变动导致没有行为)会触发自组织进入与SF对应的间歇状态。从这些研究来看,聚集现象似乎是超越标准理论的一个重要现象,它是气泡和碰撞的触发因素,自发发展而没有因果关系。该模型还可用于从价格时间序列中向后推导出代理商的策略。其他一些应用也在考虑之中,例如流动性有限的问题,以及如果一个国家认为所有市场都与一个大的网络相连,参考基础价格可能会发生大的波动[2]。
课程简介: The deviation from a Random Walk behavior in financial time series have been identified as Stylized Facts (SF) and are common to all markets. The main ones are that fluctuations are much lager than those predicted from the standard economic theory (gaussian fluctuations), the clustering of volatility and a substantial non stationarity of all properties. Many Agent Based Models have been proposed to explain these phenomena and several are indeed able to reproduce some of them. However, the situation is still problematic becaus these models are typically rather complicated with various ad hoc assumptions. This has prevented a systhematic study of these effects. We have tried therefore to define a workable Agent based Model [1], which contains the essential elements, but in a mathematically simple and well defined framework. In addition we have considered some new important elements like the nonstationarity of the process with respect to the number of agents and the question of the self-organization. Namely why all markets evolve spontaneously towards the situation corresponding to the SF, considering that in all models this is restricted to a very narrow range of parameters. The SF are shown to correspond to finite size effects (with respect to time and to the number of agents N) which, however, can be active at different time scales. This implies that strict universality cannot be expected in describing these properties in terms of effecive critical exponents. The introduction of a threshold in the agents action (small price movements lead to no action) triggers the self-organization towards the intermittent state corresponding to the SF. From these studies the herding phenomenon seems to be a crucial one beyond the standard theory as a triggering element of bubbles and crashs which develop spontaneously without a cause-effect relation. The model can also be used backwards to derive the strategies of the agents from the price time series. Other applications are under consideration like the problem of finite liquidity and the possibility that the reference fundamental price is subject to large fluctuations if one cnsiders that all markets are linked into a large network [2].
关 键 词: 人工智能; 社会经济学; 金融市场
课程来源: 视频讲座网
最后编审: 2019-12-06:lxf
阅读次数: 42