In this paper, we propose our information-theoretic equivalence of entropic multi-marginal optimal transport (MOT). This equivalence can be easily reduced to the case of entropic optimal transport (OT). Because OT is widely used to compare differences between knowledge or beliefs, we apply this result to the communication between agents with different beliefs. Our results formally prove the statement that entropic OT is information-theoretically optimal given by Wang et al. [2020] and generalize it to the multi-agent case. We believe that our work can shed light on OT theory in future multi-agent teaming systems.

翻译：在本文中,我们提出了我们对电子多边最佳运输(MOT)的信息理论等同性。这种等同性可以很容易地降低到对电子最佳运输(OT)的情况。由于OT被广泛用来比较知识或信仰之间的差异,我们将这一结果应用于信仰不同的代理人之间的交流。我们的结果正式证明了王等人(Wang等人)([2020年])所作的关于电子最佳运输(OT)是信息理论最优化的说法,并将其概括到多试剂案例中。我们认为,我们的工作可以在未来多试剂团队系统中揭示OT理论。