Recently quantum probability theory started to be actively used in studies of human decision-making, in particular for the resolution of paradoxes (such as the Allais, Ellsberg, and Machina paradoxes). Previous studies were based on a cognitive metaphor of the quantum double-slit experiment—the basic quantum interference experiment. In this paper, we report on an economics experiment based on a triple-slit experiment design, where the slits are menus of alternatives from which one can choose. The test of nonclassicality is based on the Sorkin equality (which was only recently tested in quantum physics). Each alternative is a voucher to buy products in one or more stores. The alternatives are obtained from all disjunctions including one, two or three stores. The participants have to reveal the amount for which they are willing to sell the chosen voucher. Interference terms are computed by comparing the willingness to sell a voucher built as a disjunction of stores and the willingness to sell the vouchers corresponding to the singleton stores. These willingness to sell amounts are used to estimate probabilities and to test both the law of total probabilities and the Born Rule. Results reject neither classical nor quantum probability. We discuss this initial experiment and our results and provide guidelines for future studies.

最近，量子概率论开始积极用于人类决策的研究，特别是用于解决悖论（如阿莱、埃尔斯伯格和马奇纳悖论）。之前的研究是基于对量子双缝实验——基本量子干涉实验的认知隐喻。在本文中，我们报告了一项基于三狭缝实验设计的经济学实验，其中狭缝是可供选择的备选菜单。非经典性测试基于 Sorkin 等式（最近才在量子物理学中进行了测试）。每个替代品都是在一个或多个商店购买产品的代金券。备选方案是从所有析取处获得的，包括一、二或三间商店。参与者必须透露他们愿意出售所选代金券的金额。干扰项是通过比较销售作为商店分离的代金券的意愿和销售对应于单一商店的代金券的意愿来计算的。这些出售意愿用于估计概率并测试总概率定律和波恩规则。结果既不拒绝经典概率，也拒绝量子概率。我们讨论了这个初始实验和我们的结果，并为未来的研究提供了指导。这些出售意愿用于估计概率并测试总概率定律和波恩规则。结果既不拒绝经典概率，也拒绝量子概率。我们讨论了这个初始实验和我们的结果，并为未来的研究提供了指导。这些出售意愿用于估计概率并测试总概率定律和波恩规则。结果既不拒绝经典概率，也拒绝量子概率。我们讨论了这个初始实验和我们的结果，并为未来的研究提供了指导。