Due to various factors, such as the significant decrease in international travel and the restrictions on indoor activities and gatherings caused by the pandemic, the demand for golf rounds has surged. This increase has led to a rise in green fees by more than 30%. However, in Korea, the golf industry is facing a crisis as the number of golfers decreases due to the end of COVID-19 and the associated cost burden. In this situation, this study proposes a marketing product that connects screen-golf and field-golf to retain golfers and maintain stable revenues for the golf industry. The proposed marketing product incorporates the concept of a loyalty program that provides a coupon for field-golf after a certain number of screen golf. In other words, it rewards purchase behavior. This study classified customer clusters based on their characteristics and determine the number of issues for each coupon by considering the response rates to coupons by cluster. Mathematical modeling and optimization techniques of operations research were utilized to find optimal decision-making in various scenarios. Additionally, game theory was adopted to analyze the reasonable decisions for screen golf and field golf stores based on their competitive and cooperative relationships. Through this study, it is expected that the decline in the golf population can be prevented, and the revisit rate can be increased, thereby enabling stable revenue management in the golf industry.