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在抽象经济的均衡存在定理中，一般都假设偏好对应具有开图像。用一个较弱的条件代替关于偏好对应的开图像假设，证明了均衡的存在性。所得结果是Ｙａｎｎｅｌｉｓ（１９８７）均衡存在定理的一个推广．
In the theorem of equilibrium existence of abstract economy, it is generally assumed that the preference corresponds to having an open image. With a weak condition instead of the open image hypothesis corresponding to the preference, the existence of equilibrium is proved. The result is a generalization of Yannelis’s (1987) equilibrium existence theorem.