数学物理学报 ›› 2000, Vol. 20 ›› Issue (4): 513-520.

• 论文 • 上一篇    下一篇

无套利预算对应的连续性

  

  1. (华中师范大学数学系 武汉 430079)

  • 出版日期:2000-09-08 发布日期:2000-09-08

The Continuity of NonArbitrage Budget Correspondence

  1. (Department of Mathematics, Centre China Normal University, Wuhan 430079)
  • Online:2000-09-08 Published:2000-09-08

摘要:

当消费者的偏好是凸的(不一定严格凸)时,不完全市场的预算约束是价格单纯形与Grassman流形的乘积空间到商品空间的非线性集合值映射,简称为预算对应.为了研究该模型的一般经济均衡的存在性,作者研究了无套利预算对应的性质,得到如下主要结果:无套利预算对应是连续的.

关键词: 预算对应, Grassman流形, 连续.

Abstract:

The budget constraints with imcomplete markets are nonlinear setvalued mappings from product space of price simplex and Grassman manifold to commodity space when consumers' preferences are convex. In order to study the existence of general equilibrium in this modle, we investigated the set-valued mappings and proved that nonarbitrage budget correspondences are continuous.

Key words: Budget correspondence, Grassman manifold, Continuity

中图分类号: 

  • 90A