A description of static equilibria in the noisy binary choice (Ising) game on complete and random graphs resulting from maximisation of the likelihood of system configurations is presented. An equivalence of such likelihood equilibria to the competitive Bayes-Nash quantal response expectation equilibria in the special case of consistent agents expectations is established. It is shown that the same likelihood equilibria are obtained by considering the system's partition function.

翻译：本文描述了在完全图和随机图上，通过最大化系统配置的似然函数，得到的噪声二元选择（伊辛）博弈中的静态平衡。在智能体期望一致的特定情况下，建立了此类似然平衡与竞争性贝叶斯-纳什量化响应期望平衡的等价性。研究表明，通过考虑系统的配分函数，可以得到相同的似然平衡。