Abstract: The establishment of medical consortia is an important measure to improve the overall effectiveness of the medical service system, and it is also the need to promote the establishment of a reasonable and orderly model of graded diagnosis and treatment. The best referral model is to make reasonable referrals between the members of the medical consortia based on the difficulty level of the disease. However, since the opportunity cost of referral is not consistent, the members of the medical association do not necessarily conduct two-way referral according to the level of disease difficulty due to the consideration of economic interests, which leads to the problem of “linked but not passable”. Based on the effective distribution principle of the cooperative game, this paper discussed the reasonable distribution method of incremental economic benefits of the medical consortia, and introduced some examples. Based on the composition structure of different medical consortia, it proposed a reasonable distribution scheme of incremental economic benefits among the members. In addition, it predicted the income distribution value by using the method of the probability graph cooperative game. This paper, combining the theoretical research of medical consortia with the theory of cooperative game, explored the solution to the referral bottleneck through the fair distribution of economic benefits, which is of practical significance.

Key words: graph restriction, cooperative game, medical consortia, distribution mechanism

摘要： 建立医疗联合体（医联体）是提升医疗服务体系整体效能的重要举措，也是推动建立合理有序分级诊疗模式的需要。医联体的最佳转诊模式是将病人按照病种难度水平，在医联体成员之间进行合理转诊。但是由于面临的机会成本不一致，出于经济利益的考量，医联体成员不一定会按照病种难度水平进行双向转诊，导致医联体 “联而不通”。基于图限制合作博弈的有效分配原则，探讨了医联体增量经济收益的合理分配方法，并介绍了若干算例。根据不同医联体的组成结构，给出了医联体成员间增量经济收益的合理分配方案。此外，使用概率图合作博弈的方法，预测了图结构下医联体的收益分配值。本文将医联体理论研究与合作博弈理论相结合，探索了通过经济利益的公平分配解决转诊瓶颈的方案，具有一定现实意义。

关键词: 图限制, 合作博弈, 医疗联合体, 分配机制