非期望产出影子价格测度的半参数理论模型
作者:
作者单位:

1.北京理工大学管理学院;2.中国矿业大学(北京)管理学院

基金项目:

国家社会科学基金重大项目(23ZDA107)


A semi-nonparametric theoretical model for measuring shadow prices of undesirable outputs
Author:
Affiliation:

1.School of Management, Beijing Institute of Technology;2.School of Management, China University of Mining and Technology (Beijing)

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    摘要:

    合理准确测度非期望产出影子价格,是企业科学制定生产减排方案与政府有效落实环境规制政策的关键依据。传统影子价格测度方法存在诸多局限,如忽略数据不确定性、个体和环境异质性、减排措施多样性等。本文基于生产前沿面理论,提出一个非期望产出影子价格测度的半参数理论模型。该模型在考虑数据随机误差的凸非参数最小二乘模型(CNLS)基础上引入非期望产出,并直接在目标函数中嵌入代表企业个体特征和运营环境的外生变量。同时,模型综合考量非期望产出与期望产出间的边际转换率,以及非期望产出与投入间的边际替代率,进而定义并推导出非期望产出最优影子价格的计算方法。该半参数理论模型为非期望产出影子价格的有效测度提供了一种更加科学、严谨的理论框架与计算方法。

    Abstract:

    The rationality and accuracy of shadow price estimation for undesirable outputs are the scientific basis for formulating firms’ plans about production and emission reduction, and implementing government policies on environmental regulatory. The traditional models on shadow price estimation have some limits such as ignoring data uncertainty, individual and environmental heterogeneity, and the diversity of emission reduction measures. Thus, this paper proposes a semi-nonparametric theoretical model for measuring the shadow price of undesirable outputs based on the production frontier theory. This model introduces the undesirable outputs into the convex nonparametric least squares (CNLS) model that considers both inefficiency and random noise, and directly integrates exogenous variables representing individual characteristics and operating environment of firms in the objective function. At the same time, this model combines the marginal rates of transformation between desirable outputs and undesirable outputs, and the marginal rates of substitution between inputs and undesirable outputs, to define and calculate the optimal shadow price of undesirable outputs. This semi-nonparametric theoretical model provides a more scientific and rigorous framework for effectively estimating the shadow price of undesirable outputs.

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历史
  • 收稿日期:2024-07-16
  • 最后修改日期:2025-01-11
  • 录用日期:2025-03-26
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