摘要
本文应用作者1997年的结果,考察一般商品空间中的交换活动,建立了竞争性模型,证明了竞争均衡的存在性.该模型把经济活动者全体用超有限集合和Loeb测度来表达,清晰地刻画了一般商品空间框架下竞争性经济的特点,揭示了不确定环境中或动态情况下市场经济活动的一般规律.
The purpose of this paper is to study the exchange activities and competitive equilibria in general commodity spaces by using the method of nonstandard analysis. An exchange economy model is established on an internal normed Riesz space with a hyperfinite number of trders. It describes such an economy in which each trader is a price-taker whose weight is negligible in the entire market. The set of all traders is then an atomless Loeb measure space. The main result is the existence theorem of competitive equilibria in this economy.
出处
《系统科学与数学》
CSCD
北大核心
2002年第3期312-320,共9页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(70171047)资助课题.
