In this work, we design a novel game-theoretical framework capable of capturing the defining aspects of quantum theory. We introduce an original model and an algorithmic procedure that enables to express measurement scenarios encountered in quantum mechanics as multiplayer games and to translate physical notions of causality, correlation, and contextuality to particular aspects of game theory. Furthermore, inspired by the established correspondence, we investigate the causal consistency of games in extensive form with imperfect information from the quantum perspective and we conclude that counterfactual dependencies should be distinguished from causation and correlation as a separate phenomenon of its own. Most significantly, we deduce that Nashian free choice game theory is non-contextual and hence is in contradiction with the Kochen-Specker theorem. Hence, we propose that quantum physics should be analysed with toolkits from non-Nashian game theory applied to our suggested model.

翻译：在这项工作中,我们设计了一个能够捕捉量子理论定义方面的新颖的游戏理论框架。我们引入了一个原始模型和算法程序,能够将量子力学中遇到的测量情景作为多玩游戏来表达,并将因果关系、相关性和背景性等物理概念与游戏理论的某些特定方面结合起来。此外,在既定的通信的启发下,我们从量子角度对游戏的因果一致性和不完善的信息进行了广泛的调查,我们的结论是,反事实依赖性应该与因果关系和相关性区别开来,而后者是其自身的一种单独现象。最重要的是,我们推断纳什自由选择游戏理论是非通俗的,因此与Kochen-Specker理论相矛盾。 因此,我们建议用从非纳珊游戏理论到我们建议的模型的工具包来分析量子物理。