The core of a simple game with ordinal preferences
The core of a simple game with ordinal preferences
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具有顺序偏好的简单游戏的核心
DOI：
10.1007/bf01766188
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发表时间：
1975
影响因子：
0.6
通讯作者：
Kenjiro Nakamura
中科院分区：
文献类型：
--
作者：
Kenjiro Nakamura
Michael Dummett 和 Robin Farquharson[1961] 为具有序数偏好的人简单多数博弈提供了具有非空核心的充分条件。在本文中，我们将这个结果推广到任意适当的简单博弈。证明他们的条件也足以让这个游戏有一个非空核。我们对这个定理的证明比达米特和法夸森给出的证明简单得多。最后给出了该定理的一些应用。
Michael DummettandRobin Farquharson[1961] provided a sufficient condition for ann-person simple majority game with ordinal preferences to have a nonempty core. In the present paper we generalize this result to an arbitrary proper simple game. It is proved that their condition is also sufficient for this game to have a nonempty core. Our proof of this theorem is much simpler than the proof given byDummettandFarquharson. Finally some applications of the theorem are presented.