This paper investigates the issue that whether a peripheral small country rising its exports ratio to the 'core' will 'marginalize' its economy or not. 'Marginalization' being defined as the decrease in relative income, the author observes fourteen European peripheral countries versus the original six EU countries, and two North-American peripheral countries versus the core country-U.S.A. The results do not support the hypothesis that rising exports ratio to a growing core will 'marginalize' a peripheral country. Furthermore, the experiences of Hong Kong and Taiwan can not support a similar result either. But to eliminate suspicion, the author suggests some kind of export alarming system for Taiwan.