麦克斯韦恶魔与市场效率
The Maxwell Demon and Market Efficiency
摘要:
本文讨论两个看似无关的问题,(一)什么是麦克斯韦恶魔问题的熵和能量会计?如何衡量市场的效率?在这里,我们表明,在麦克斯韦恶魔的一个简单模型中,宇宙的熵在从随机状态到有序状态的过程中增加了一个量eta=0.839995520,在从一个有序状态到另一个有序状态的过程中增加了一个量eta*=2.731382。我们计算了由麦克斯韦排序过程驱动的引擎的效率。效率只取决于粒子的温度和恶魔用来分类粒子的计算机的温度。我们还表明,这种方法是通用的,并创建一个简单的模型,在股票市场中的限制交易者扮演的麦克斯韦恶魔的作用。我们使用这个模型来定义和衡量市场效率。
英文摘要:
This paper addresses two seemingly unrelated problems, (a) What is the entropy and energy accounting in the Maxwell Demon problem? and (b) How can the efficiency of markets be measured? Here we show, in a simple model for the Maxwell Demon, the entropy of the universe increases by an amount eta=0.839995520 in going from a random state to an ordered state and by an amount eta*=2.731382 in going from one sorted state to another sorted state. We calculate the efficiency of an engine driven by the Maxwell sorting process. The efficiency depends only on the temperatures of the particles and of the computer the Demon uses to sort the particles. We also show the approach is general and create a simple model of a stock market in which the Limit Trader plays the role of the Maxwell Demon. We use this model to define and measure market efficiency.
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