Considering the capacity constraints of reverse channels, this paper explores the influences of channel competition and collection choice on the optimal strategies and profits of closed-loop supply chain (CLSC), in which consists of a manufacturer and two symmetric retailers. Based on the game theory, we design four different scenarios: Neither retailer collects (NN), only a retailer collects (CN/NC) and both retailers collect (CC). On this basis, we find that the higher saving cost and lower competition intensity are incentive to the retailer to recycle. Further, if both the retailers are with constrained capcaities , the same strategies can bring the significant profit improvement; nevertheless, when the strategies are inconsistent, they may suffer a loss of profits. In addition, we try to coordinate the supply chain through two-part tariff contract to achieve Pareto improvement.