关于违反确定原则的概率解释中的量子是什么?
Nematollah Farhadi Mahalli1, Onur Pusuluk2
1Department of Physics, Koç University, 34450 Sarıyer, Istanbul, Türkiye.
Bio Systems
|March 11, 2024
概括
量子模型通过识别二级干扰来解释囚犯困境游戏 (PDG) 中的人类决策违规行为. 这种干扰源于预测中的量子连贯性,而不是经典的概率.
科学领域:
- 决策理论 决策理论
- 量子信息理论 量子信息理论
- 游戏理论 游戏理论
背景情况:
- 囚犯困境游戏 (PDG) 的行为实验揭示了确定原则的违反,挑战了经典的理性决策理论.
- 经典概率理论无法解释这些违规,它们表现为二次干扰效应.
研究的目的:
- 用量子概率模型解释PDG中违反理性决策理论的情况.
- 在概括概率理论和量子信息理论的框架内,识别决策干扰的来源.
主要方法:
- 使用密度矩阵形式主义重新制定现有的PDG量子概率模型.
- 分析经典和量子不确定性对玩家预测的影响.
- 研究量子连贯性和纠在决策动态中的作用.
主要成果:
- 证明了初始预测中的量子连贯性,在动态过程中转换为概率,解释了决策违规.
- 确定量子连贯性是允许解释确定原则违反的关键因素.
- 展示了量子纠对决策过程的潜在影响.
结论:
- 量子概率模型,特别是量子连贯性,为PDG中观察到的偏离理性选择提供了强有力的解释.
- 一般化概率理论为理解决策中的这些量子效应提供了更广泛的框架.
- 提出的三种选择的PDG扩展可以进一步区分量子理论与更一般的概率理论的预测能力.
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