We also show that the properties of core largeness, the extendibility and the exactness for these matching games are equivalent, which strictly imply the stability of the core.

• 其次我们讨论了几个与核心稳定性密切相关的性质（核心的包容性、对策的精确性和可扩性）并证明了它们的等价性。基于这些结果，我们还讨论了相应问题的算法。