A limited survey on supply chain network equilibrium models was provided.These models are characterized by a decentralized supply chain network with multiple tiers and multiple agents at each tier.With the models the equilibrium prices and material flows under the competition between agents at a same tier and with the assumption of collaboration between agents at different tiers were studied.The development of basic models,the extensions of these basic models incorporating with uncertain demand market and multicriteria decision making,and the applications of these models to real world concerns were reviewed here.