The Convention on the International Regulations for Preventing Collisions at Sea, 1972 (COLREGs) stipulates ships’ obligations when encountering each other. However, human action remains a primary cause of collision accidents. In the complex environment of mixed navigation involving MASS and manned ships, the applicability of the COLREGs for determining the give-way ship has faced certain challenges. Therefore, this study proposes a model for determining the give-way ship, combining ship characteristics and using an asymmetric Gaussian function to construct the potential field of stand-on ships from the perspective of give-way ships. It constructs the cost function based on field theory to determine the respective avoidance costs for both ships in a crossing situation, with the ship incurring the lowest cost selected as the give-way ship, followed by a case study to validate the model. The research is dedicated to coordinating avoidance action objectively, effectively reducing maritime collisions, and providing exploratory guidance for collision avoidance decision-making in future mixed navigation environments.