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Nonparametric Analysis of Random Utility Models: Computational Tools for Statistical Testing

随机效用模型的非参数分析:统计检验的计算工具

Kitamura and Stoye (2018) recently proposed a nonparametric statistical test for random utility models of consumer behavior. The test is formulated in terms of linear inequality constraints and a quadratic objective function. While the nonparametric test is conceptually appealing, its practical implementation is computationally challenging. In this paper, we develop a column generation approach to operationalize the test. These novel computational tools generate considerable…

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Bounding counterfactual demand with unobserved heterogeneity and endogenous expenditures

不可观测异质性与内生支出下反事实需求的界限

We propose a method to predict rational counterfactual demand responses from repeated cross-sections. We derive bounds on the distribution of counterfactual demands that are consistent with the Weak Axiom of Revealed Preferences, without putting any restriction on the preference heterogeneity across consumers. In contrast to existing methods, we also allow for endogeneity of total expenditures. In addition, the method can readily incorporate restrictions on the income…

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Nonparametric tests of collectively rational consumption behavior: An integer programming procedure

集体理性消费行为的非参数检验:整数规划程序

We present an IP-based nonparametric (revealed preference) testing procedure for rational consumption behavior in terms of a general collective model, which includes consumption externalities and public consumption. An empirical application to data drawn from the Russia Longitudinal Monitoring Survey (RLMS) demonstrates the practical usefulness of the procedure. Finally, we present extensions of the testing procedure to evaluate the goodness-of-fit (accounting for…

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The Collective Model of Household Consumption: A Nonparametric Characterization

家庭消费集体模型的非参数刻画

We provide a nonparametric characterization of a general collective model for multi-person household consumption, which includes externalities and public goods. We derive the minimum number of commodities and observations that enable the falsification of this general model for aggregrate household quantity and price data; these requirements are generally less stringent than the conditions derived by Browning and Chiappori (1998) within a parametric setting. Next, we…

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