The Sonnenschein-Mantel-Debreu Results after Thirty Years
The Sonnenschein-Mantel-Debreu Results after Thirty Years
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三十年后的 Sonnenschein-Mantel-Debreu 结果
DOI：
10.1215/00182702-2005-024
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发表时间：
2006
影响因子：
0.7
通讯作者：
S. Rizvi
中科院分区：
文献类型：
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作者：
S. Rizvi
总过剩需求或市场需求的性质在竞争一般均衡的存在性、唯一性、稳定性和比较静力学中起着关键作用。它们对不完全竞争一般均衡理论和宏观经济学的微观基础也很重要。由于对需求的观察可能发生在总水平上，而经济理论主要关注个人行为，因此总过剩或市场需求的性质是计量经济学鉴定的核心。这些项目对于一般均衡理论发展的重要性可以在肯尼斯·阿罗和弗兰克·哈恩的《一般竞争分析》（1971）中看到。然而，在他们的书出版后不久，Hugo Sonnenschein（1973）提出了以下问题。考虑一个将价格映射为数量的函数。如果这个函数是行为良好的交换经济的总过剩需求函数，它必须满足什么条件？存在性理论强调了函数满足连续性、零次齐次性和瓦尔拉斯定律的重要性。所有这些对总超额需求的限制都是由惯例隐含的吗
The properties of aggregate excess demand or market demand play a key role in the existence, uniqueness, stability, and comparative statics of competitive general equilibrium. They are also important for the theory of imperfectly competitive general equilibrium and the microfoundations of macroeconomics. Because observations of demand are likely to occur at the aggregate level, whereas economic theory has been largely concerned with individual behavior, the properties of aggregate excess or market demand are central to econometric identification. The importance of these projects for the development of general equilibrium theory can be seen in Kenneth Arrow and Frank Hahn’s General Competitive Analysis (1971). Soon after their book was published, though, Hugo Sonnenschein (1973) posed the following problem. Consider a function that maps prices into quantities. What conditions must this function satisfy if it is to be the aggregate excess demand function of a well-behaved exchange economy? The existence theory highlighted the importance of the function’s satisfying continuity, homogeneity of degree zero, and Walras’s law. Were these all of the restrictions on aggregate excess demand implied by the usual