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：本文提出熵正则化多边缘最优传输（MOT）在信息论视角下的等价性。该等价性可简单退化为熵正则化最优传输（OT）情形。由于OT被广泛用于比较知识或信念间的差异，我们将此结果应用于具有不同信念的智能体之间的通信。我们的结论正式证明了Wang等人[2020]提出的"熵正则化OT具有信息论最优性"这一论断，并将其推广至多智能体情形。我们相信，本研究能为未来多智能体协作系统中的OT理论提供启示。