ON ASYMPTOTIC PROPERTIES OF THE PARAMETERS OF DIFFERENTIATED PRODUCT DEMAND AND SUPPLY SYSTEMS WHEN DEMOGRAPHICALLY CATEGORIZED PURCHASING PATTERN DATA ARE AVAILABLE*
研究了在消费者人口统计信息与购买产品特征关联时，扩展的供需模型估计量的渐近性质，证明其一致、渐近正态且更有效，并通过模拟验证了随机系数Logit模型中的优势。
We derive asymptotic properties of an estimator for supply and demand models extended with additional moments relating consumer demographics to the characteristics of purchased products. We clarify the structure of a practical sampling scheme in which the extended estimator is consistent, asymptotically normal, and more efficient than the original estimator. We provide conditions guaranteeing the asymptotic theorems hold for the random coefficient logit model of demand with oligopolistic suppliers. Extensive simulation studies demonstrate significant benefits of the additional moments in estimating the random coefficient logit model.