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中文摘要：
利用微分对策理论研究了供应链竞争下的合作广告问题,构建了一个微分对策模型。在非对称的供应链情形下,运用汉密尔顿-雅可比-贝尔曼方程求得了Stackelberg博弈下均衡的广告投入和广告分担比例,给出了零售商市场份额的计算公式。在对称的供应链情形下,得到了制造商对零售商进行广告补贴的一个充分条件,同时发现,市场中只有2家或3家零售商时总能保证他们得到正利润,一旦零售商数量增多则不能保证。
英文摘要：
This paper studies cooperative advertising for competing supply chains and a differential game model is developed.In symmetry supply chain,the equilibrium advertising,advertising cost sharing rate and market share of the retailer are obtained in Stackelberg game with Hamilton-Jacobi-Bellman equation.In asymmetry supply chain,it obtains the sufficient condition that the manufacturer offers advertising support to the retailer.Meanwhile,the retailers could increase its profit in cases of duopoly and triopoly but may not increase profit when there are more than three retailers in the market.
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