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arXiv 0704.2865q-fin.STmath-phmath.MPmath.PR
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经典和量子随机性与金融市场

Classical and quantum randomness and the financial market

Andrei Khrennikov

摘要:

我们通过比较经典模型和类量子模型的随机性来分析金融(和一般经济)过程的复杂性。我们的分析表明,对于金融市场,量子概率描述可能比经典概率描述更自然。我们的一部分分析致力于研究量子概率模型应用于金融市场的代理人的可能性。我们表明,虽然直接的量子(物理)还原(基于使用量子力学的尺度)是没有意义的,可以应用所谓的量子模型。在我们的方法中,类似量子的概率行为是金融(和一般经济学)统计数据背景的结果。然而,我们对金融数据的“量子性”的假设应该通过实验来检验(而不是基于非上下文经典概率方法的传统描述)。我们提出了一个新的统计检验的基础上推广的著名的量子物理贝尔不等式。

英文摘要:

We analyze complexity of financial (and general economic) processes by comparing classical and quantum-like models for randomness. Our analysis implies that it might be that a quantum-like probabilistic description is more natural for financial market than the classical one. A part of our analysis is devoted to study the possibility of application of the quantum probabilistic model to agents of financial market. We show that, although the direct quantum (physical) reduction (based on using the scales of quantum mechanics) is meaningless, one may apply so called quantum-like models. In our approach quantum-like probabilistic behaviour is a consequence of contextualy of statistical data in finances (and economics in general). However, our hypothesis on "quantumness" of financial data should be tested experimentally (as opposed to the conventional description based on the noncontextual classical probabilistic approach). We present a new statistical test based on a generalization of the well known in quantum physics Bell's inequality.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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