Measuring the price responsiveness of gasoline demand: Economic shape restrictions and nonparametric demand estimation

This paper develops a new method for estimating a demand function and the welfare consequences of price changes. The method is applied to gasoline demand in the U.S. and is applicable to other goods. The method uses shape restrictions derived from economic theory to improve the precision of a nonparametric estimate of the demand function. Using data from the U.S. National Household Travel Survey, we show that the restrictions are consistent with the data on gasoline demand and remove the anomalous behavior of a standard nonparametric estimator. Our approach provides new insights about the price responsiveness of gasoline demand and the way responses vary across the income distribution. We find that price responses vary nonmonotonically with income. In particular, we find that low- and high-income consumers are less responsive to changes in gasoline prices than are middle-income consumers. We find similar results using comparable data from Canada.

[1]  E. Nadaraya On Estimating Regression , 1964 .

[2]  G. S. Watson,et al.  Smooth regression analysis , 1964 .

[3]  C. Dahl,et al.  Consumer adjustment to a gasoline tax , 1979 .

[4]  J. Muellbauer,et al.  Economics and consumer behavior , 1980 .

[5]  H. Varian The Nonparametric Approach to Demand Analysis , 1982 .

[6]  H. Varian Non-parametric Tests of Consumer Behaviour , 1983 .

[7]  End Use Annual energy review , 1984 .

[8]  Larry G. Epstein,et al.  Non-parametric hypothesis testing procedures and applications to demand analysis , 1985 .

[9]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[10]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[11]  P. Robinson ROOT-N-CONSISTENT SEMIPARAMETRIC REGRESSION , 1988 .

[12]  J. Sengupta The Nonparametric Approach , 1989 .

[13]  J. Poterba,et al.  Is the Gasoline Tax Regressive? , 1991, Tax Policy and the Economy.

[14]  James Stephen Marron,et al.  BOOTSTRAP SIMULTANEOUS ERROR BARS FOR NONPARAMETRIC REGRESSION , 1991 .

[15]  Noel Roy,et al.  What Do Statistical Demand Curves Show? A Monte Carlo Study of the Effects of Single Equation Estimation of Groundfish Demand Functions , 1991 .

[16]  P. Hall The Bootstrap and Edgeworth Expansion , 1992 .

[17]  Wolfgang Härdle,et al.  Applied Nonparametric Regression , 1991 .

[18]  W. Newey,et al.  Nonparametric Estimation of Exact Consumers Surplus and Deadweight Loss by , 2009 .

[19]  Steven T. Berry,et al.  Automobile Prices in Market Equilibrium , 1995 .

[20]  Len Bos,et al.  Nonparametric Least Squares Regression and Testing in Economic Models , 1997 .

[21]  Uri M. Ascher,et al.  Computer methods for ordinary differential equations and differential-algebraic equations , 1998 .

[22]  Richard Schmalensee,et al.  Household Gasoline Demand in the United States , 1999 .

[23]  P. Hall,et al.  NONPARAMETRIC KERNEL REGRESSION SUBJECT TO MONOTONICITY CONSTRAINTS , 2001 .

[24]  Adonis Yatchew,et al.  Household Gasoline Demand in Canada , 2001 .

[25]  Xiaohong Chen,et al.  Semi‐Nonparametric IV Estimation of Shape‐Invariant Engel Curves , 2003 .

[26]  P. Hall,et al.  Nonparametric methods for inference in the presence of instrumental variables , 2003, math/0603130.

[27]  Sarah E. West Distributional Effects of Alternative Vehicle Pollution Control Policies , 2004 .

[28]  Roger H. von Haefen,et al.  Distributional and Efficiency Impacts of Gasoline Taxes: An Econometrically Based Multi-market Study , 2005 .

[29]  Joel L. Horowitz,et al.  A non-parametric test of exogeneity , 2007 .

[30]  Christopher Timmins,et al.  How Do Gasoline Prices Affect Fleet Fuel Economy? , 2008 .

[31]  Roger H. von Haefen,et al.  Distributional and Efficiency Impacts of Increased US Gasoline Taxes , 2009 .

[32]  Stefan Hoderlein How many consumers are rational , 2009 .

[33]  Apostolos Serletis,et al.  Imposing local curvature in the QUAIDS , 2012 .

[34]  Matthias R. Fengler,et al.  Semi-Nonparametric Estimation of the Call Price Surface Under Strike and Time-to-expiry No-Arbitrage Constraints , 2013 .