一类非均衡蛛网模型的稳定性分析  

Analysis on Stability a Class of Disequilibrium Cobweb Model

作　　者：张亚莉[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院

出　　处：《重庆文理学院学报（自然科学版）》2008年第2期22-24,共3页Journal of Chongqing University of Arts and Sciences

基　　金：重庆师范大学项目资助金资助项目(06XLB025)

摘　　要：蛛网模型刻画了某种商品在市场中的供求波动,是一种重要的经济学动态模型.此模型通过引进时间变化的因素,连续考察属于不同时期的需求量、供给量和价格之间的相互作用.动态非均衡下的蛛网模型的稳定性分析,对一些商品,特别是对周期性生产的商品市场价格波动一类的经济活动有着积极的意义.本文在传统的蛛网模型的基础上作了改进,把第t期商品的供给函数考虑为t-1,t-2,…,t-n期价格的函数,建立了以价格调节的非均衡的蛛网模型,并对此模型进行了稳定性分析,得到了均衡价格存在的稳定性条件.Cobweb model is a classical and important dynamic economic model, describing fluctuation in the market price of single commodity. This model uses the time - varying factors, continuous study of the interaction of the demand the supply and the price in different periods. Stability analyses of the cobweb model under the dynamic and disequilibrium condition have positive meanings in solving the economic activity of the market prices fluctuation of commodity especially for cyclical commodity production activity. By improving traditional cowbell model, and regards function of No. t - 1 price, No. t - 2 price,…, No. t - n price as No. t supply function, a type of disequilibrium cobweb model for adjustment is built, and finally has carried out the dynamic analysis and stability of this model thus the condition of stability under which equilibrium price exists is obtained.

关 键 词：蛛网模型 非均衡 差分方程 稳定性 

分 类 号：F019.1[经济管理—政治经济学] TK477[动力工程及工程热物理—动力机械及工程]