Limiting Functional Forms for Market Demand Curves
市场需求曲线的极限函数形式AI 解读 ↓
← 返回论文列表与筛选
阅读说明
本页整理公开书目信息，不生成学术质量评分。AI 解读根据题名及所注明的摘要或原文片段生成，未完成全文核验，可能有误；具体假设、证明与结论请核对原文。摘要保留来源文本，未经模型改写。
DOI 首次登记不等于接收或发表日期。部分更正、评论等条目没有独立摘要；缺少可靠材料时保留待补状态。
引用量采用 OpenAlex 单条关联记录，不合计多个记录；关联记录可能包含正式发表版本，不等于此版本单独引用。缺失不视为零，引用指标不代表论文质量。
关注作者按书目中的完整姓名匹配，同名和姓名变体需人工辨别。相关论文先按共享细分方向和具体方法排列，再参考通用方法与发表日期。
分类依据与纠错
AI 根据所提供的论文材料归类：摘要从随机个体需求构造市场需求函数，并讨论需求模型参数估计，直接对应需求结构模型的设定与估计。
反馈分类问题
正在核对关联版本…
代码、数据与补充材料
正在核对对应版本的资源…
关注这篇论文的作者
市场需求曲线的极限函数形式
- 研究问题
- 市场需求曲线的函数形式及扰动分布能否从随机个体需求的加总得到解释？消费者数量增加时，需求与商品自身价格的关系如何近似？
- 方法与思路
- 作者把个体需求视为随机变量并加总为市场需求，在消费者数量趋于无穷时讨论正态极限，再借助积分变换和上下界函数构造近似形式。
- 材料陈述的贡献
- 摘要称，在给定其他价格和收入、并满足一定条件时，市场需求具有渐近正态形式；论文还提出需求函数近似，并讨论参数估计问题。
- 阅读关注点
- 应核对个体需求的概率设定、加总获得正态极限的条件，以及积分变换、上下界与凸组合的构造，重点检查近似误差和参数可识别性。
- 阅读边界
- 所给文本有符号及词语缺失，无法完整确定极限形式和正则条件；摘要未说明近似精度、可实施的估计程序或有限市场中的表现。
原文摘要
On the basic assumption that individual consumption of a good is a stochastic phenomenon, the first part of this article shows that under general conditions market quantity demanded is asymptotically (as n, the number of individuals in the market, increases) distributed as normal with and variance a function of own price given all other prices and individual incomes. Next, by the use of integral transforms, it is shown that the unknown market demand function can be approximated by a specific functional form. The estimation problems involved with such a model are discussed in the last part of the paper. Two BASIC, but fundamental, problems facing any econometrician attempting to estimate market demand curves are the choice of functional form and the justification of the normal form for the distribution of the disturbance terms. This paper goes some little way toward meeting both problems. The first step is to regard quantity demanded as a random variable. It is assumed that the axioms of choice of modern demand theory refer to the mean quantities demand curves one can derive the normal distribution as a limiting form for it is assumed that the consumer in determining his preferences determines the parameters of the distribution function of quantity demanded. Market stochastic demand curves are obtained from individual stochastic demand curves by taking the sum of the quantities demanded over all individuals in the market. It is shown that under certain weak assumptions about the characteristics of individual demand curves one can derive the normal distribution as a limiting form for stochastic market demand curves. The limits are taken as n, the number of individuals in the market, approaches infinity. It is shown that under the assumptions of the problem both the and variance of the market stochastic demand function are decreasing functions of own price. The second step in the argument is to obtain approximations for the functional relationships between the and own price and between the variance and own price for the market curve. This is achieved by stating those conditions under which upper and lower bound functions can be defined. The approximations to the actual, but unknown, functions are obtained by considering the convex combination of both bound functions. The last section of the paper discusses the problems involved in estimating the parameters of the limiting form of the market stochastic demand function.