Testing revealed preferences for homotheticity with two-good experiments
证明在二维商品空间中,能合理化每对观测数据的同质效用函数也能合理化整个数据集,并据此提出简化的非参数检验和同质性效率度量,用于在估计参数前筛选严重违反同质性的数据。
Abstract It is shown that for two dimensional commodity spaces any homothetic utility function that rationalizes each pair of observations in a set of consumption data also rationalizes the entire set. The result is used to provide a simplified nonparametric test for homotheticity of demand and a measure for homothetic efficiency. The article thus provides a useful tool to screen data for severe violations of homotheticity before estimating parameters of homothetic utility functions. The new test and measure are applied to previously published data.