In order to meet the demand of outsourcing decision-making in a supply chain, an outsourcing
model was proposed, and the capacity investment levels and production decisions of an upstream firm
(supplier) and a downstreammember(buyer) were analyzed under the condition of their making decisions
separately. In addition, the patterns of outsourcing based on a price-focused contractwere discussed. Based
on the above, a two-stage dynamic game model for two members in a supply chain was set up, and it was
proven that this game model characterizes the sub-game perfect Nash equilibrium.