MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (8): 909-914.

MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES

向淑文

Department of Mathematics, Guizhou University, Guiyang 550025, P.R.China

收稿日期:1998-10-26 修回日期:2001-01-10 出版日期:2000-08-18 发布日期:2000-08-18
通讯作者: ZHANG Shi-sheng
基金资助:
the National Natural Science Foundation of China (19771024);the Natural Science Foundation of Guizhou Province (19993042)

MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES

XIANG Shu-wen

Department of Mathematics, Guizhou University, Guiyang 550025, P.R.China

Received:1998-10-26 Revised:2001-01-10 Online:2000-08-18 Published:2000-08-18
Supported by:
the National Natural Science Foundation of China (19771024);the Natural Science Foundation of Guizhou Province (19993042)

摘要/Abstract

摘要： The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the "set-valued" stability of equilibria. It is proved that there exists at least one minimal essential set of equilibrium points of the economy and every minimal essential set is connected. Based on these results, it is easy to prove that there is at least one essential component of the set of equilibrium points.

中图分类号:

O177.91
O225

向淑文. MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 909-914.

XIANG Shu-wen . MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 909-914.

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MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES

MINIMAL ESSENTIAL SETS AND ESSENTIAL COMPONENTS OF THE EQUILIBRIA OF PRODUCTION ECONOMIES

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