Four new tripartite non-causal games are introduced in this paper. By considering the upper bound of the success probabilities of the games, tripartite causal inequalities with 4 inputs are derived. In addition, we show that those inequalities can be violated by choosing effective process matrices and instruments. Note that the violations we attained for our causal inequalities are maximal.

中文翻译：

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具有多重设置的三方非因果博弈

本文介绍了四种新的三方非因果博弈。通过考虑游戏成功概率的上限，推导出具有 4 个输入的三方因果不等式。此外，我们表明可以通过选择有效的过程矩阵和工具来违反这些不平等。请注意，我们因因果不等式而获得的违规是最大的。