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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.