| 独立决定和非二元性选择函数的Arrow不可能性定理 |
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| 引用本文： | 郭春香,郭耀煌.独立决定和非二元性选择函数的Arrow不可能性定理[J].系统工程,2004,22(7):1-3. |
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| 作者姓名： | 郭春香 郭耀煌 |
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| 作者单位： | 1. 西南交通大学,经济管理学院,四川,成都,610031;西南科技大学,理学院,四川,绵阳,621000
2. 西南交通大学,经济管理学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金资助项目(70371026) |
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| 摘 要： | 研究Arrow不可能性定理的弱化问题，将独立不相关条件(IIA)弱化为独立相关决定条件，证明在非二元性选择函数环境下对IIA弱化后Arrow不可能性定理仍然成立，并将它推广到选择函数不具有连通性的群格序决策问题。所得结论表明导致IIA弱化后，不可能性定理仍然成立的根本原因不是选择函数的连通性。
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| 关 键 词： | 决策 不可能性定理 非二元性选择函数 格序 独立决定 |
| 文章编号： | 1001-4098(2004)07-0001-03 |
| 修稿时间： | 2004年3月8日 |
Independent Decisiveness and the Arrow Possibility Theorem for Social Choice |
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| GUO Chun-xiang.Independent Decisiveness and the Arrow Possibility Theorem for Social Choice[J].Systems Engineering,2004,22(7):1-3. |
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| Authors: | GUO Chun-xiang |
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| Institution: | GUO Chun-xiang~ |
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| Abstract: | The weakening question of Arrow's possibility theorem is studied in this paper, the condition of independent of (irrelevant) alternative(IIA) is weakened to independent relational decisiveness. It is proved that a non-binary impossibility (theorem) whose IIA is weakened is held, and the conclusion is popularized to group lattice order decisions without compara- (tive) condition. This show that Arrow's possibility theorem can be established without comparative condition after IIA's (weakening.) |
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| Keywords: | Decision-making Impossibility Theorem Non-binary Choice Function Lattice Order Independent Decisiveness |
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