过度自信的报童模型研究

    A Research on Overconfident Newsvendor Model

    • 摘要: 将过度自信定义为报童对市场需求信息的过度精确,建立了过度自信的报童模型,得到了过度自信报童的最优订货量和理性报童最优订货量之间的线性解析关系,并分析了过度自信水平对订货偏差及利润损失的影响。研究发现,随着报童过度自信水平的增加,其订货量会越来越偏离理性的最优订货量,而且过度自信导致的利润损失是关于过度自信水平的递增的凸函数,最后通过算例对上述的模型和结论进行了分析验证。

       

      Abstract: An overconfident newsvendor model is developed by defining the overconfidence as the newsvendor’s overprecision about the true demand. Closed-form optimal order quantity of the overconfident newsvendor is derived. A linear relationship between the optimal order quantity and that obtained from the benchmark newsvendor model is established. Then, the impact of overconfidence level on order bias and profit loss is analyzed. It is found that, as the overconfidence level increases, the overconfident newsvendor’s optimal order deviates far away from the benchmark newsvendor’s optimal order. Furthermore, the profit loss resulting from the overconfident is an increasingly convex function of the overconfidence level. Finally, a numerical example demonstrates the validity of the proposed model and results.

       

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