The supply chain management area is one of the most important topics studied by researchers in recent years. By expanding knowledge and emerging technologies as well as increasing competition in supply chain systems, the need to optimize these systems has become more imperative. Therefore, Synchronizing and optimizing relationships and decisions in the supply chain will increase its efficiency. Various factors affect customer decisions of a supply chain in choosing a product. Price is one of the most important factors. Another important factor to be mentioned is the level of brand reputation as well as vendors’ level of service. Therefore, in this thesis, it has been tried to examine the decisions of product pricing and coordination of members, by using the game theory approach. It should be noted that in the current research, the supply chain with dual-channel distribution has been focused comprises both traditional and Internet retailers. In the structure of the defined problem, two successive products are produced by two rival producers, each of which delivers its product to customers through an exclusive retailer and a common online market. Each retailer sells only one manufacturer's product, in contrast, the online market provides both products at the same time. Then, the problem was solved with two scenarios that were closer to real-world relationships. In the first scenario, Producers are considered to be the first Stakelberg and the online market to be the second-hand Stakelberg. To elucidate, manufacturers are the main decision makers of the main chain, after which the Internet market has the second power in the chain, and ultimately the traditional retailers follow the decisions of manufacturers and the Internet market. . The second scenario is focused on each manufacturer with its exclusive store, meaning that each manufacturer cooperates with the traditional retailer and is known as a set that seeks to maximize their total profits. Finally, the effect of the proposed parameters on the functions of profit, demand, wholesale prices, retail prices, prices and service levels of the Internet market, has been obtained. The results show that the second scenario increases the profit of producers and retailers and the total profit of the chain. But the internet market would prefer to be in the supply chain in the first scenario.