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the selection gradient F(x) near x = x* satisfies F(x)>0 for x<x∗ and F(x)<0 for x>x∗, where F(x)=∂W∂x′(x,x). The strategy x* is then said to be convergence stable. If x* satisfies both criteria above, we can regard x* as a realistic endpoint of the evolutionary process. The first criterion is a