Supply chain is the general name of the structure formed by all actors who contribute to the delivery of a product or service to the customer. A typical supply chain may involve stages such as customers, retailers, wholesalers/distributors, manufacturers, and component/raw material suppliers. Each stage is connected through the flow of products, information, and funds. The objective of the supply chain is to maximize the overall value generated. The value is the difference between the amount the customer is willing to pay for the product and service the supply chain offers to the customer, and the total cost of the supply chain. The contracts are one of the tools used recently to reduce costs and ensure coordination between all actors. Game theory is essential for the analysis of supply chains with multiple agents, often with conflicting objectives. In this study, the buyback contract, which is one of the most used contract types to ensure supply chain coordination, is handled with the game theory approach. Based on the similarity of the relations between the supply chain actors to the relationship between the players in n-person cooperative games, buyback contracts are examined within the scope of n-person cooperative games. The results have shown that fairer profit sharing can be achieved if the game theory approach is used in buyback contracts. It is anticipated that this proposed solution approach will contribute to literature, providing a guide for future studies in this field.