Deteriorating items sale and order game for single supplier and multiple retailers under trade credit

Many of exiting EOQ models consider to decide the optimal order quantity and cycle under trade credit tactic, Which seldom consider how to make supplierpsilas trade credit strategy. Moreover, those studies often emphasized on relationship and coordination between single vendor-buyer, which neglected the competition among retailers. This paper proposes Stackelberg game model to get the deteriorating items optimal trade credit tactic as well as ordering policy subject to single vendor and multiple retailers supply chain under end demand is price linear function. Simultaneously, competition within retailers is modeled as Nash game. Finally numerical examples are shown to illustrate the results in the paper.