| 单峰偏好下马斯金单调性与联盟防策略的等价性 |
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| 引用本文： | 李江峰,刘宗谦. 单峰偏好下马斯金单调性与联盟防策略的等价性[J]. 经济数学, 2008, 25(1): 64-73 |
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| 作者姓名： | 李江峰 刘宗谦 |
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| 作者单位： | 1. 首都师范大学数学科学学院,北京,100037;九江学院理学院,江西九江,332005
2. 首都师范大学数学科学学院,北京,100037 |
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| 摘 要： | 本文证明了在单峰偏好域上Maskin单调性与防策略条件是等价的,并进一步证明了Maskin单调性与联盟防策略是等价的.从而推广了Muller-Satterthwaite(1977)在无限制强序域上得到的结论.在此基础上,利用Mollin(1980)在单峰偏好域上提出的防策略社会选择函数特征化定理,证明了在单峰偏好域上能够突破Muller-Satterthwaite不可能性定理所预示的消极结论.
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| 关 键 词： | Maskin单调性 防策略 联盟防策略 单峰偏好域 |
| 修稿时间： | 2007-06-10 |
THE EQUIVALENCE OF MASKIN MONOTONICITY AND COALITIONAL STRATEGY-PROOFNESS ON SINGLE PEAKEDNESS PREFERENCE DOMAIN |
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| Li Jiangfeng,Liu Zongqian. THE EQUIVALENCE OF MASKIN MONOTONICITY AND COALITIONAL STRATEGY-PROOFNESS ON SINGLE PEAKEDNESS PREFERENCE DOMAIN[J]. Mathematics in Economics, 2008, 25(1): 64-73 |
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| Authors: | Li Jiangfeng Liu Zongqian |
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| Abstract: | In this paper,we show firstly the equivalence of Maskin monotonicity and strategy-proofness on the single peakedness preference domain,and furthermore that of Maskin monotonicity and coalitional strategy-proofness.Then,Muller-Satterthwaite(1977) conclusion obtained on unrestricted strong preference domain be extended to the single peakedness preference domain.On the base of this,the negative conclusion implied by Muller-Satterthwaite impossibility theorem be broken by using the characteristic theorem of strategy-proofness social choice function showed by Mollin(1980) on the single peakedness preference domain. |
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| Keywords: | Maskin monotonicity strategy-proofness coalitional strategy-proofness single peakedness preference domain |
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