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Ex anteversusex postequilibria in classical Bayesian games with a nonlocal resource
Physical Review A ( IF 2.9 ) Pub Date : 2020-06-29 , DOI: 10.1103/physreva.101.062115
Mátyás Koniorczyk , András Bodor , Miklós Pintér

We analyze the difference between ex ante and ex post equilibria in classical games played with the assistance of a nonlocal (quantum or no-signaling) resource. In physics, the playing of these games is known as performing bipartite Bell-type experiments. By analyzing the Clauser-Horn-Shimony-Holt game, we find a constructive procedure to find two-person Bayesian games with a nonlocal (i.e., no-signaling, and, in many cases, quantum) advantage. Most games of this kind known from the literature can be constructed along this principle, and share the property that their relevant ex ante equilibria are ex post equilibria as well. We introduce here a different type of game, based on the Bell theorem by Vértesi and Bene, which does not have the latter property: The ex ante and ex post equilibria differ.

中文翻译:

具有非本地资源的经典贝叶斯游戏中的前anteversusex后均衡

我们分析了在非本地(量子或无信号)资源的帮助下进行的经典游戏中事前事后均衡之间的差异。在物理学上,玩这些游戏被称为执行二分钟贝尔式实验。通过分析Clauser-Horn-Shimony-Holt博弈,我们找到了一个建设性的程序来查找具有非局部(即,无信号,并且在许多情况下,是量子)优势的两人贝叶斯博弈。文献中已知的大多数此类游戏都可以根据此原理构建,并具有其事前相关均衡是事后平衡的特性。平衡。我们在此介绍基于Vértesi和Bene的Bell定理的另一种类型的游戏,它不具有后者的性质:事前事后均衡不同。
更新日期:2020-06-29
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