arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2010.13086quant-phcs.ETphysics.optics
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纠缠与关联光子混合策略的社会决策

Entangled and correlated photon mixed strategy for social decision making

Shion Maeda, Nicolas Chauvet, Hayato Saigo, Hirokazu Hori, Guillaume Bachelier, Serge Huant, Makoto Naruse

摘要:

在竞争性多臂强盗(CMAB)问题中,多个玩家试图从多个老虎机中获得更高的奖励,集体决策对于最大化总收益同时保持个体之间的平等是重要的。CMAB问题代表了社会基础设施中资源管理等应用的一个重要方面。在以前的研究中,我们从理论和实验上证明了纠缠光子可以在物理上解决CMAB问题的困难。这种决策策略完全避免了决策冲突,同时确保了平等。然而,决策冲突有时可能是有益的,如果他们产生更大的回报比非冲突的决定,这表明贪婪的行动可能会提供积极的影响,这取决于给定的环境。在这项研究中,我们展示了一种混合策略的纠缠和相关的光子为基础的决策,使总奖励相比,纠缠光子的决策策略,可以提高。我们表明,纠缠和相关的光子为基础的战略存在的最佳混合动力学的奖励环境,以及给定的问题的难度。这项研究为以混合方式利用光子的量子和经典方面进行决策铺平了道路,并提供了博弈论中已知的混合策略至高无上的另一个例子,特别是在进化博弈论中。

英文摘要:

Collective decision making is important for maximizing total benefits while preserving equality among individuals in the competitive multi-armed bandit (CMAB) problem, wherein multiple players try to gain higher rewards from multiple slot machines. The CMAB problem represents an essential aspect of applications such as resource management in social infrastructure. In a previous study, we theoretically and experimentally demonstrated that entangled photons can physically resolve the difficulty of the CMAB problem. This decision-making strategy completely avoids decision conflicts while ensuring equality. However, decision conflicts can sometimes be beneficial if they yield greater rewards than non-conflicting decisions, indicating that greedy actions may provide positive effects depending on the given environment. In this study, we demonstrate a mixed strategy of entangled- and correlated-photon-based decision-making so that total rewards can be enhanced when compared to the entangled-photon-only decision strategy. We show that an optimal mixture of entangled- and correlated-photon-based strategies exists depending on the dynamics of the reward environment as well as the difficulty of the given problem. This study paves the way for utilizing both quantum and classical aspects of photons in a mixed manner for decision making and provides yet another example of the supremacy of mixed strategies known in game theory, especially in evolutionary game theory.

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