An evolutionary game model on supply chains learning through imitation

The problems of supply chains are research hot points now. And the evolutionary game theory gradually becomes a new and effective method to these problems. An evolutionary game model learning through imitation is proposed on the relationship between retailers´ promotion and suppliers´ inspection. It is found that the dynamics process and evolutionary stable strategies of this model equal to some type of replicator dynamics model´s. But, there are differences of meaning and time scale between imitation learning and replicator dynamics. At last, a numerical example is studied to illustrate dynamic evolutionary process of this model learning through imitation.