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In order to overcome the limitation that traditional evolutionary game model could not compute results of one-shot game or short-term economic equilibrium etc., the paper designs a chain structure model of evolutionary game based on asymmetric income situation. Furthermore, we discover deeply that individuals in the game are in correlative dependence and in conversion each another, and also we establish transfer relation between individual quantity of each population and expected average payments of interrelated parts in per-step of the game. On the basis of these, taking one asymmetric Hawk-Dove game as an example, we imitate and analyze its replication dynamics and evolutionary stable strategy (ESS). For the very first time, the paper points out the evolutionary game phenomena of test-fault in the process of biological evolution by means of the imitation experiment.