论文标题
经济学家的严格证明索引定理
A Rigorous Proof of the Index Theorem for Economists
论文作者
论文摘要
本文提供了常规经济理论中使用的索引定理的严格且无差距的证明。在本文主题的索引定理中，过剩需求函数的假设仅是几个通常的假设，并且在任何均衡价格上都有持续的可不同性，因此它具有适用于许多经济体的形式。但是，此主题上的教科书仅包含缩写的证据，并且没有已知的专着包含对此定理的严格证明。因此，本文的目的是通过构建可读的证据来使更多的经济学家可用。
This paper provides a rigorous and gap-free proof of the index theorem used in the theory of regular economy. In the index theorem that is the subject of this paper, the assumptions for the excess demand function are only several usual assumptions and continuous differentiability around any equilibrium price, and thus it has a form that is applicable to many economies. However, the textbooks on this theme contain only abbreviated proofs and there is no known monograph that contains a rigorous proof of this theorem. Hence, the purpose of this paper is to make this theorem available to more economists by constructing a readable proof.
