量子力学与理性无知
Quantum mechanics and rational ignorance
摘要：
在本文中，我们使用量子形式主义来描述理性无知下的选择过程。我们把一个问题或一个问题看作是一项基本任务，其中唯一的答案是0和1。我们证明了在理性无知下，一个人的意见状态可以被描述为一个量子比特状态。我们分析了量子形式主义在理性无知研究中给出的预言。我们发现，不同的不相关的问题的答案是上下文，也就是说，他们的影响，由以前的问题，即使不相关。另一个有趣的预测是不确定性效应，当我们考虑理性无知下两个或更多问题的统计方差时，这种不确定性效应成立。
英文摘要：
In the present article we use the quantum formalism to describe the process of choice under rational ignorance. We consider as a basic task a question or an issue where the only answers are 0 and 1. We show that under rational ignorance the opinion state of a person can be described as a qubit state. We analyze the predictions that the quantum formalism give in the study of rational ignorance. We find that answers to different uncorrelated questions are contextual, that is they are influenced by the previous questions, even if uncorrelated. Another interesting prediction is an uncertainty effect which holds when we consider the statistical variance of two or more questions under rational ignorance.
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