Abstract
A new chain model of evolutionary game is proposed for studying the process of industrial agglomeration. It is capable of describing some real life conditions when pay-off of individual is not fixed and varies with the process of evolutionary. Different from the classical evolutionary game, in which pay-off matrix is changeless during evolutionary process, this paper discusses the chain model of evolutionary game, in which individual pay-off is strongly correlated with quantity of individual. On the basis of these, we imitate and analyze its replication dynamics and evolutionary stable strategy (ESS). The imitation showed that, due to the interrelation of individual income and individual quantity, the process and the evolutionary stable strategy of this type of evolution game present diversity.
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