A Distributed Model for the Dynamics of Consumers()Aggregate Demand

摘要

This paper is concerned with the modeling problems of dynamic consumption systems. In particular,the distribution effects of wealth across consumers on the aggregate demand are considered by usingthe modeling theory of Distributed-Parameter Systems. The resulting model is a Partial DifferentialEquation that describes evolution of the distribution density of consumers with respect to their wealth.A simple solution to the model is also derived under assumptions properly made according topractical background, which can be used in economic analysis readily. Finally the modeling method isillustrated by an application to the forecasting of household cars in China.