具有非紧无限维策略空间的抽象经济的平衡*
Equilibrium in Economics with a Non-Compact lnfinite Dimensional Strategy Space
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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.
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Key words:
- abstract economics /
- equilibrium /
- Ci-majorized
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[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.
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