Price and service competition between two leader-follower retailer-stackelberg supply chains

In this paper, two leader-follower supply chains consisting of one manufacturer and one retailer are considered. In-chain competition is addressed besides the chain-to-chain competition in which the retailer is the leader and the manufacturer is the follower. The competition elements are price and service, which are investigated in three different scenarios: decentralized leader-decentralized follower, integrated leader-decentralized follower, and decentralized leader-integrated follower. Using the backward induction, we start the solving process from the follower supply chain and derive the follower's best response function. Then the leader strategies are examined after the substitution of the follower's best response function in leader profit function. Finally, we analyzed the effects of the price competition intensity and service investment coefficient of both chains on the equilibrium values in all three scenarios. The results show that increasing the price competition intensity will decrease the profit of the leading supply chain. In contrast, small values of price competition intensity are beneficial for the follower supply chain. Moreover, the service investment coefficient of both supply chains has a direct impact on follower optimal values and an inverse impact on the leader ones. © 2021 Materials and Energy Research Center. All rights reserved.