Most of the studies on the welfare effects of antidumping policies assume that dumping firms reduce their dumping margin to cope with the policies. The present study sought to reinvestigate the welfare effects of an antidumping policy when a dumping firm, alternatively, reacts positively with an evading action. The results indicate that the value of an extra evading cost is critical for the dumping firm to choose a reduction in the dumping margin or the exertion of evasive action. Furthermore, under the same evading cost, the larger the market is or the more future benefits the firm envisions, the more likely the firm will choose to evade. When the equilibrium switches from reducing the dumping margin to evasion, the positive welfare effects of an antidumping policy for the importing country will be reduced. If the domestic production cost is higher than that of a foreign firm, the antidumping policy will even result in negative effects on the social welfare of the home country. For the exporting country, the negative effects on welfare will be attenuated when a second period is also pertinent. On this regard, the country with the larger scale of the market should be more careful in executing its antidumping policy.