具有价格干预的单产品流网络均衡

Single Product Network Equilibrium with Price Interference

研究了由具有产能约束的多个相互竞争制造商以及面临随机需求和商品限制性价格上限的多个相互竞争零售商组成的供应链网络均衡问题。借助变分不等式理论,刻画了制造商、零售商以及消费者的最优行为,建立了供应链网络均衡模型。结合数值算例,分析了产能约束和限制性价格上限对网络均衡的影响。结果表明当政府对竞争市场实行限制性价格上限时,将造成消费市场中的商品短缺,并导致制造商和零售商的总利润减少;当存在产能限制时,将导致无价格限制的商品均衡价格更高以及消费市场中商品短缺量更大。

The paper examines the equilibrium problem of a single product network which consists of multiple mutually competitive manufactures with production capacity constraint and retailers with random market demand and a binding product price ceiling. Using variational inequality, the optimal behaviors of the manufactures, the retailers and the consumers are described and the network equilibrium model is established. The results of a numerical example show that when the government imposes a binding price ceiling on competitive markets, a shortage of the consumer goods occurs and the total combined profit of the manufacturers and the retailers will decrease; when the manufactures have finite production capacity, the price of the goods without the price ceiling will reach a higher level of equilibrium and the shortage gap of the goods at consumer market will widen.