赋范格中一般竞争均衡的存在性

Existence of a General Competetive Equilibrium in Normed Lattice

MakarovV.L.证明了一个一般均衡的存在性定理,在这个定理的模型中不要求特殊的收入分配函数、不要求特殊的生产者目标,也不需要消费者偏好的独立性和价格体系的零阶齐次性,但是Makarov的讨论中商品空间是有限维的Rn[1].Zame证明了无限维的赋范格中竞争均衡的某些结果,但其模型要求比Makarov模型要窄[2].目前的这篇文章证明了以赋范格作为商品空间的Makarov模型的竞争均衡的存在性.

Makarov obtained a general existence theorem which did not require a special form for income distribution functions and producer's objective,independence of consumer's tastes,ordered preference and zero degree homogeneous price dependence.But the space of commodities in Makarov's model is finite dimensional R n.Zame proved some results of a competetive equilibuinm with infinitely many commodities,but the case of Zame's model is worse than Makarov' model.In the present paper,it will prove the existence of a general competetive equilibrium in normed lattice with infinitely many commodities and Makarov's model.