Biased imitation in coupled evolutionary games

This paper investigates the evolutionary dynamics of two games which are played within distinct networks of interdependent networks. First, the evolutionary dynamic of the coupled evolutionary games based on biased imitation is expressed as a logical dynamic system and then converted into its algebraic form by using the semi-tensor product of matrices. Second, based on the algebraic form, the final cooperation levels of the coupled evolutionary games are discussed. Finally, an illustrative example is given to show the effectiveness of our main results.