Non-cooperative consignment stock strategies for management in supply chain

►The coordination of deliveries between the vendor and the buyer in a two-level supply chain with centralized and decentralized decision process is investigated. ► Generalized consignment stock (gCS) policies are analyzed. ► Mathematical analysis of the inventory patterns derived the structure of an optimal (gCS) policy for integrated vendor-buyer inventory system (with respect to their possible competition via non-cooperative game). ► Nash equilibrium strategies are presented and illustrated with numerical examples.