Equilibrium in Economics with a Non-Compact lnfinite Dimensional Strategy Space

Ding Xie-ping; Zhuang De-ming

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Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(7): 571-575

Ding Xie-ping, Zhuang De-ming. Equilibrium in Economics with a Non-Compact lnfinite Dimensional Strategy Space[J]. Applied Mathematics and Mechanics, 1994, 15(7): 571-575.

Citation:

Ding Xie-ping, Zhuang De-ming. Equilibrium in Economics with a Non-Compact lnfinite Dimensional Strategy Space[J]. Applied Mathematics and Mechanics, 1994, 15(7): 571-575.

Citation:

Ding Xie-ping, Zhuang De-ming. Equilibrium in Economics with a Non-Compact lnfinite Dimensional Strategy Space[J]. Applied Mathematics and Mechanics, 1994, 15(7): 571-575.

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Equilibrium in Economics with a Non-Compact lnfinite Dimensional Strategy Space

Ding Xie-ping¹,
Zhuang De-ming²

1.
Sichuan Normal University, Chengdu;
2.
Mount Saint Vincent University, Canada

Received Date: 1993-09-01
Publish Date: 1994-07-15

Abstract

Abstract

We generalize an existence theorem of equilibrium of abstract economics by Tulcea to a non-compact strategy, space. Our theorem also improves a recent result of Tian.
- abstract economics,
- equilibrium,
- C_i-majorized

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References(6)

References

[1]	Borglin, A. and H.Keiding, Existence of equilibrium actions and of equilibrium,Journal of Mathematical Economics, 3(1976),313-316
[2]	Shafer, W. and H. Sonnenschein, Equilibrium in abstract economics without ordered preferences, Journal of Mathematical Economics, 2(1975), 345-348.
[3]	Tian. G., Equilibrium in abstract econcmics with a non-compact infinite dimensional strategy space, an infinite number of agents and without ordered preferences, Economics Letter. 33(1990). 203-206.
[4]	Toussaint, S. On the existence of equilibria in economics with infinitely many commodities and without ordered preferences. Journal of Economic Theory, 33(1984), 98-115.
[5]	Tulcea, C. I.,On the approximation of upper semi-continuous correspondences and the equilibrium of the generalized games, Journal of Mathematical Analysis and Appliations, 136(1988), 267-289.
[6]	Yannelis, N. C. and N. D. Prabhakar, Existence of maximal elements and equilibria in linear topological spaces, Journal of Mathematical Economics, 12(1983), 233-245.