Hawkins Raymond J, D'Anna Joseph L
Economics Department, University of California, Berkeley, CA 94720, USA.
Wyant College of Optical Sciences, University of Arizona, Tucson, AZ 85721, USA.
Entropy (Basel). 2022 Oct 20;24(10):1497. doi: 10.3390/e24101497.
We show how a behavioral form of capital theory can be derived using canonical quantization. In particular, we introduce quantum cognition into capital theory by applying Dirac's canonical quantization approach to Weitzman's Hamiltonian formulation of capital theory, the justification for the use of quantum cognition being the incompatibility of questions encountered in the investment decision-making process. We illustrate the utility of this approach by deriving the capital-investment commutator for a canonical dynamic investment problem.
我们展示了如何使用正则量子化来推导资本理论的一种行为形式。具体而言,我们通过将狄拉克的正则量子化方法应用于魏茨曼资本理论的哈密顿表述,将量子认知引入资本理论,使用量子认知的理由是投资决策过程中遇到的问题不具有相容性。我们通过推导一个正则动态投资问题的资本投资对易子来说明这种方法的效用。