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具有非紧无限维策略空间的抽象经济的平衡*

丁协平 庄德铭

丁协平, 庄德铭. 具有非紧无限维策略空间的抽象经济的平衡*[J]. 应用数学和力学, 1994, 15(7): 571-575.
引用本文: 丁协平, 庄德铭. 具有非紧无限维策略空间的抽象经济的平衡*[J]. 应用数学和力学, 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.

具有非紧无限维策略空间的抽象经济的平衡*

基金项目: * 国家自然科学基金,加拿大NSERC和Mount Saint Vincent大学研究基金

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

  • 摘要: 我们推广了Tulcea的抽象经济平衡存在定理到非紧策略空间,我们的定理也改进了Tian的最近结果。
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    [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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出版历程
  • 收稿日期:  1993-09-01
  • 刊出日期:  1994-07-15

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