Resilience and Stability
In a well-designed microservices-based system, the failure of a single microservice should have a minimal impact on the availability of other microservices in the system. As microservice-based systems are, by their very nature, distributed, the danger of a failure is fundamentally higher than with other architectural styles: Networks and servers are unreliable. As microservices are distributed onto multiple servers, the number of servers is higher per system, and this also increases the chances of a failure. When the failure of one microservice results in the failure of additional microservices, a cascade effect can result in the entire system breaking down. This should be avoided.
For this reason, microservices have to be shielded from the failure of other microservices. This property is called resilience. The necessary measures to achieve resilience have to be part of the microservice. Stability is a broader term that denotes high software availability. Release It! lists several patterns on this topic.
-  Michael T. Nygard. 2007. Release It!: Design and Deploy Production-Ready Software. Raleigh, NC:Pragmatic Programmers.