中文摘要：

鉴于传统的一般均衡理论具有严格的假设条件，无法准确考察市场的真实状况，借助复杂性科学中的分形理论，建立了经济系统的分形均衡。分形均衡允许市场中存在多边交易和拥有先天禀赋的经济当事人从事低买高卖的套利交易，对经济均衡的描述更接近于经济现实。通过比较和分析分形均衡和一般均衡的区别与联系得出了一般均衡是分形均衡的一个特例的结论，得到了分形均衡下的福利经济学定理。

英文摘要：

Because the assumptions of general equilibrium （GE） are too strict, GE couldn＇ t reflect the actual market situation. The fractal equilibrium （FE） model is established via fractal dimension in this paper. The multilateral trade and the arbitrage in market can be allowed in FE. Therefore, FE description is closer to real economic situation than GE. Through comparing and analyzing the difference and relationship between FE and GE, the conclusion that GE was a special case of FE is drawn and the welfare economic theorem under FE is deduced.