A typical TV audience rating model and its competition dynamics analysis

In order to explore the competition dynamics and determine how they affect the audience rating of TV stations, a dynamical model of TV stations is proposed and discussed in this paper. This model shows the well known appearance of `winner-take-all´ phenomenon among the fierce competition from many TV stations. And then, dynamics competition analysis between two TV stations is discussed in detailed. It is found that, the famous `winner-take-all´ phenomenon also exists among TV stations´ competition processes, especially among the stations which serve almost the same types of programs. What´s more, this paper proposes some strategies for those stations, which is helpful for the station with a large initial audience rating and proper reform period. So, to be the winner, good propaganda and reforms are both critical and necessary. Lastly, Numerical simulations further proves the effectiveness of the analysis.