This paper studies the equilibrium decision-making problem of product service supply chain (PSSC) network under the impact of COVID-19 related risks. The PSSC is composed of service-oriented transformation of manufacturing enterprises to sell product service systems (PSSs) to customers. So, under the impact of COVID-19, the network faces dual risks of products and services. This paper constructs the PSSC network of raw material suppliers, service providers, manufacturing service integrators and demand markets. Through variational inequalities, a network equilibrium model of PSSC considering risk management was established, and their decision-making problems were discussed. Three numerical examples were used to analyse the impact of risk management on the supply chain network at various levels. The results show that the risk management of upstream and downstream enterprises will have mutual influence, and the cost input of service risk management will benefit the entire PSSC network. Therefore, through the diversified development and improvement of services, the market demand for PSSs can be increased.

With the rapid development of information and communication technology, data empowerment has become an important way for platform service supply chain (PSSC) members to obtain a competitive advantage. Based on the three-level PSSC network structure composed of service providers, platform operators, and demand markets, this paper assumes that platform operators empower service providers to improve service quality, and PSSC members invest in data security risk control. Then, using variational inequality and equilibrium theory, a supply chain network equilibrium model considering data empowerment is constructed, and the equilibrium conditions of the whole network are obtained. Based on numerical examples, this paper analyzes the impact of the sensitivity of the demand market to service quality, the relative importance of service providers’ service quality improvement level, the data empowerment cost of PSSC members, and the data security risk control investment of PSSC members on the equilibrium state of the supply chain network. The results show the following: because the service quality is produced by the cooperation between service providers and platform operators, platform operators may have free-riding behavior and are only willing to invest a fixed data empowerment cost to ensure the essential service quality; data security risk control investment is an important factor affecting service sales; and when supply chain network members reduce data security risk control investment, consumers’ willingness to pay for services will be reduced, resulting in a decline in the overall profit of the supply chain network.