| ON THE NON-COMPACTNESS OF THE CORE OF NONATOMIC CONVEX σ-CONTINUOUS MEASURE GAMES |
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| 作者姓名： | HUANGZHENGAO |
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| 作者单位： | NationalUniversityofDefenseTechnology,Changsha410073 |
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| 摘 要： | This paper concerns with the core of nonatomic gaxaes of foma f(μ), where μ is a nonatomic nonnegative measure and f is a continuous convex function on the domaln of μ. The main result of this paper is that the core of the game is not compact under the norm topology unless the game itself is a measure. This shows the largeness of the core in a sense other than that defined by Sharky for finite cases.
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| 关 键 词： | 非原子测度 凸函数 核心 对策论 范拓扑 |
| 收稿时间： | 17 January 1994 |
On the non-compactness of the core of nonatomic convexσ-continuous measure games |
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| HUANGZHENGAO.On the non-compactness of the core of nonatomic convexσ-continuous measure games[J].Applied Mathematics A Journal of Chinese Universities,1995,10(4):467-470. |
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| Authors: | Zhengao Huang |
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| Institution: | HUANG ZHENGAO |
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| Abstract: | This paper concerns with the core of nonatomic games of form f(μ), whereμ is a nonatomic nonnegative measure and f is a continuous convex function on the domain ofμ. The main result of this paper is that the core of the game is not compact under the norm topology unless the game itself
is a measure. This shows the largeness of the core in a sense other than that defined by Sharky for finite cases. |
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| Keywords: | Cooperative game nonatomic game measure core |
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