论文标题
平均场竞争的动态库存管理
Dynamic Inventory Management with Mean-Field Competition
论文作者
论文摘要
代理商试图通过出售易腐烂产品的多个单位来最大化预期利润，在这些产品中，其收入流受到报价的价格以及其他代理商在市场中报价的其他价格的分配影响。我们提出了一个捕获这种竞争效应的模型，并直接在平均场限制中直接分析模型，因为代理的数量很大。我们根据汉密尔顿 - 雅各比 - 贝尔曼方程的解决方案和一致性条件对平均场纳什平衡进行了分类，并使用它来激发迭代的数值算法来计算平衡。然后研究了均衡定价策略和整体市场动态的属性，特别是它们如何依赖竞争互动的强度以及超出产品的能力。
Agents attempt to maximize expected profits earned by selling multiple units of a perishable product where their revenue streams are affected by the prices they quote as well as the distribution of other prices quoted in the market by other agents. We propose a model which captures this competitive effect and directly analyze the model in the mean-field limit as the number of agents is very large. We classify mean-field Nash equilibrium in terms of the solution to a Hamilton-Jacobi-Bellman equation and a consistency condition and use this to motivate an iterative numerical algorithm to compute equilibrium. Properties of the equilibrium pricing strategies and overall market dynamics are then investigated, in particular how they depend on the strength of the competitive interaction and the ability to oversell the product.
