The objective of the study was to use the concept of game theory to analyze the patronage of two Radio Stations in Kumasi and suggest how the stations could plan some of their programmes to enable them receive higher patronage. Data of all the programmes aired by the two radio stations were collected. The two stations had ten (10) common programmes. After interviewing one hundred (100) purposively selected 18 D. K. Boah, S. B. Twum and S. K. Amponsah listeners in Ashanti Region of Ghana to find their patronage preferences for the two radio stations named Station A and Station B based on the common programmes, a matrix was constructed. A critical analysis of the matrix revealed that Station A did better in sporting programmes than station B and Station B did better in news broadcasting and musical programmes than Station A. It is recommended that the two Stations should not air two similar programmes simultaneously to enable them receive higher patronage.
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