A closed-loop supply chain network equilibrium problem is studied, which consists of multiple competitive suppliers, multiple manufacturers, and multiple risk averse retailers with stochastic demand markets. Through the analysis of the network structure, the equilibrium conditions of various decision makers and the whole closed-loop supply chain network are derived and the finite-dimensional variational inequality formulation is established. Finally, based on the characteristics
of the model, the Quasi-Newton method is built to solve the problem, and the simulation analysis illustrates the impacts of the stochastic remanufacturing rate and the risk averse coefficient of retailers on the optimal behaviors and network equilibrium.