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坦桑尼亚北部对健康的时间偏好:替代贴现模型的实证分析。

Time preferences for health in northern Tanzania: an empirical analysis of alternative discounting models.

作者信息

Robberstad Bjarne, Cairns John

机构信息

Department of Public Health and Primary Health Care, University of Bergen, Bergen, Norway.

出版信息

Pharmacoeconomics. 2007;25(1):73-88. doi: 10.2165/00019053-200725010-00007.

Abstract

AIM

The discounted utility (DU) model has dominated economic evaluation for almost 7 decades, despite the fact that important assumptions of the model are commonly found to be violated. This paper formally explores whether the key assumption of stationarity is violated in a sample of the general population of Northern Tanzania. Furthermore, three hyperbolic discounting models are fitted to the data, and whether they perform better than the DU model in predicting individuals' time preferences is tested using nonlinear least squares regression.

METHOD

The data were collected from 450 households by trained enumerators. The individual data on time preferences were collected by structured interviews using an open-ended stated preference methodology. Respondents marked a rating scale to indicate the maximum number of days they would be willing to suffer a nonfatal disease if the outbreak of the disease could be delayed to a point further into the future. Households were randomised to answer questions framed to elicit either a private or social time preference.

RESULTS

Hypothesis testing confirmed decreasing time aversion and a magnitude effect, suggesting that the DU model is inappropriate as a descriptive tool. When the DU model was compared with the three hyperbolic discounting models by analysing the discount factor using nonlinear least squares regression, the most important findings were that a variable for starting point was nonsignificant only for the Loewenstein and Prelec (L&P) and the Mazur models, and that people in this setting generally discounted future health far more than suggested by current discounting practice in economic evaluations.

CONCLUSION

The time preferences of our sample are better represented by the L&P and the Mazur models (which allow relaxation of the stationarity assumption through a modification of the expression for the discount factor) and less well reflected by the Harvey (a modification of the L&P model that assigns more importance to the future than standard utility discounting) and DU models. This implies that, from the point of view of a consumer sovereignty-friendly economist, the Mazur and the L&P models are preferable for discounting of future health in economic evaluations. However, from the point of view of other value bases for discounting the choice of discounting model is of less importance.

摘要

目的

尽管贴现效用(DU)模型的重要假设常常被发现遭到违背,但该模型在近70年里一直主导着经济评估领域。本文正式探究在坦桑尼亚北部普通人群样本中,平稳性这一关键假设是否被违背。此外,将三种双曲线贴现模型拟合到数据中,并使用非线性最小二乘法回归检验它们在预测个体时间偏好方面是否比DU模型表现更好。

方法

数据由经过培训的调查员从450户家庭收集。关于时间偏好的个体数据通过结构化访谈,采用开放式陈述偏好方法收集。受访者在评分量表上标记出如果某种非致命疾病的爆发可以推迟到更遥远的未来,他们愿意忍受该疾病的最长天数。家庭被随机分配回答旨在引出私人或社会时间偏好的问题。

结果

假设检验证实了时间厌恶递减和量级效应,这表明DU模型作为一种描述工具并不合适。当通过非线性最小二乘法回归分析贴现因子,将DU模型与三种双曲线贴现模型进行比较时,最重要的发现是起始点变量仅对洛温斯坦和普雷莱克(L&P)模型以及马祖尔模型不显著,并且在这种情况下,人们对未来健康的贴现通常远远超过经济评估中当前贴现实践所表明的程度。

结论

我们样本的时间偏好由L&P模型和马祖尔模型(它们通过修改贴现因子的表达式允许放宽平稳性假设)能更好地体现,而哈维模型(L&P模型的一种修改形式,比标准效用贴现更重视未来)和DU模型则较少能反映。这意味着,从对消费者主权友好的经济学家的角度来看,在经济评估中对未来健康进行贴现时,马祖尔模型和L&P模型更可取。然而,从其他贴现价值基础的角度来看,贴现模型的选择重要性较低。

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