Minimal Essential Sets and Essential Components of the Equilibria of Production Economies

XIANG Shu-wen

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XIANG Shu-wen, . Minimal Essential Sets and Essential Components of the Equilibria of Production Economies[J]. Applied Mathematics and Mechanics, 2000, 21(8): 817-822.

Citation:

XIANG Shu-wen, . Minimal Essential Sets and Essential Components of the Equilibria of Production Economies[J]. Applied Mathematics and Mechanics, 2000, 21(8): 817-822.

Citation:

XIANG Shu-wen, . Minimal Essential Sets and Essential Components of the Equilibria of Production Economies[J]. Applied Mathematics and Mechanics, 2000, 21(8): 817-822.

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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 Date: 1998-10-26
Rev Recd Date: 2000-01-10
Publish Date: 2000-08-15

Abstract

Abstract

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.
- production economy,
- minimal essential set,
- essential component

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References(11)

References

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