There are two well-known sufficient conditions for Nash equilibrium in two-player games: mutual knowledge of rationality (MKR) and mutual knowledge of conjectures. MKR assumes that the concept of rationality is mutually known. In contrast, mutual knowledge of conjectures assumes that a given profile of conjectures is mutually known, which has long been recognized as a strong assumption. In this note, we introduce a notion of "mutual assumption of rationality and correctness" (MARC), which conceptually aligns more closely with the MKR assumption. We present two main results. Our first result establishes that MARC holds in every two-person zero-sum game. In our second theorem, we show that MARC does not in general hold in n-player games.

翻译：在两人博弈中，纳什均衡有两个广为人知的充分条件：理性的共同知识（MKR）和猜想的共同知识。MKR假设理性的概念是共同已知的。相比之下，猜想的共同知识假设给定的一组猜想是共同已知的，这长期以来被认为是一个强假设。在本注释中，我们引入了"理性与正确性的共同假设"（MARC）概念，它在概念上与MKR假设更为接近。我们提出两个主要结果。第一个结果证明了MARC在每一场两人零和博弈中都成立。在第二个定理中，我们展示了MARC在n人博弈中通常并不成立。