| 来源类型 | Monograph (IIASA Working Paper)
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| 规范类型 | 论文
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| Symmetry and Extensions of Arrow's Theorem. |
| Saari DG
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| 发表日期 | 1987
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| 出版者 | IIASA, Laxenburg, Austria: WP-87-109
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| 出版年 | 1987
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| 语种 | 英语
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| 摘要 | By emphasizing the symmetry of certain set theoretic conditions, shown to be associated with Arrow's Impossibility Theorem, a characterization of "kinds of axioms" is obtained. More precisely, if the defining properties of a model satisfies these conditions, then the model must have a conclusion much like that of Arrow's theorem. Because the conditions are described in set theoretic terms, the applicability of these results extends beyond the usual setting of complete, binary, transitive rankings to space of utility functions, probability distributions, etc. In this manner, not only can new extensions of Arrow's theorem be obtained, but it is shown how the same "kinds of axioms" applies to, say, problems about the aggregate excess demand function, the Hurwicz-Schmeidler dictatorial result about Pareto optimal, Nash equilibria, the Gibbard-Satterthwaite theorem about manipulability, etc. |
| 主题 | System and Decision Sciences - Core (SDS)
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| URL | http://pure.iiasa.ac.at/id/eprint/2943/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/123398
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推荐引用方式
GB/T 7714 |
Saari DG. Symmetry and Extensions of Arrow's Theorem.. 1987.
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文件名：
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WP-87-109.pdf
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格式：
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Adobe PDF
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