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Exact welfare measurement for double-log demand with partial adjustment

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Abstract

This paper demonstrates that a double-log demand with partial adjustment (DLPA) is consistent with the theory of consumer utility maximization. It offers an approach for calculating the compensating variation (CV), the exact welfare effect of a change in a price series when a DLPA is employed. Significant bias may result if the CV is based on a static double-log demand when a DLPA function is appropriate. We revisit a recent study of demand for gasoline in the U.S., finding that the CV based on the static double-log would overstate the welfare effect of a 6-month temporary gasoline tax by 7.5%.

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References

  • Adamowicz WL, Fletcher JJ, Graham-Tomasi T (1989) Functional form and the statistical properties of welfare measures. Am J Agric Econ 71(2): 414–421

    Article  Google Scholar 

  • Arano KG, Blair B (2008) An ex-post welfare analysis of natural gas regulation in the industrial sector. Energy Econ 30: 789–806

    Article  Google Scholar 

  • Arbues F, Garcia-Valinas MA, Martinez-Espineira R (2003) Estimation of residential water demand: a state of the art review. J Socio Econ 32: 81–102

    Article  Google Scholar 

  • Bali T (2000) U.S. money demand and the welfare cost of inflation in a currency-deposit model. J Econ Bus 52(3): 233–258

    Article  Google Scholar 

  • Bohi D, Zimmerman ME (1984) An update on econometric studies of energy demand behavior. Annu Rev Energy 9: 105–154

    Article  Google Scholar 

  • Borenstein S, Bushnell JB, Wolak FA (2002) Measuring market inefficiencies in California’s restructured wholesale electricity market. Am Econ Rev 92(5): 1376–1405

    Article  Google Scholar 

  • Borenstein S (2005) The long-run efficiency of real-time electricity pricing. Energy J 26(3): 93–116

    Google Scholar 

  • Brons M, Nijkamp P, Pels E, Rietveld P (2008) A meta-analysis of the price elasticity of gasoline demand, a SUR approach. Energy Econ 30: 2105–2122

    Article  Google Scholar 

  • Dahl C (1993) A survey of energy demand elasticities in support of the development of the NEMS. ftp://ftp.eia.doe.gov/pub/oiaf/elasticityurvey/elasticitysurvey_dahl.pdf

  • Dargay JM, Goodwin PB (1995) Evaluation of consumer surplus with dynamic demand. J Transp Econ Policy 29(2): 179–193

    Google Scholar 

  • Erickson EW (1985) Special tax issue. Energy J 6

  • Espey M (1998) Gasoline demand revisited: an international meta-analysis of elasticities. Energy Econ 20: 273–295

    Article  Google Scholar 

  • Espey JA, Espey M (2004) Turning on the lights: a meta-analysis of residential electricity demand elasticities. J Agric Appl Econ 36: 65–81

    Google Scholar 

  • Fischer C, Newell R (2008) Environmental and technology policies for climate mitigation. J Environ Econ Manag 55(2): 142–162

    Article  Google Scholar 

  • Fischer C, Harrington W, Parry IWH (2007) Should automobile fuel economy standards be tightened. Energy J 28(4): 1–29

    Google Scholar 

  • Frenkel JA (1977) The forward exchange rate, expectations, and the demand for money: the German hyperinflation. Am Econ Rev 67(4): 653–670

    Google Scholar 

  • Freund CL, Wallich CI (1996) The welfare effects of raising household energy prices in Poland. Energy J 17(1): 53–77

    Google Scholar 

  • Greene DL, Ahmad S (2005) Cost of oil dependence: a 2005 update. http://www.environment.hawaiiresourcelibrary.com/costofoil2005.pdf

  • Greene DL, Lieby PN (1993) The social cost to the U.S. of monopolization of the world market, 1972–1991. http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=814565

  • Hall A, Rossana R (1991) Estimating the speed of adjustment in partial adjustment models. J Bus Econ Stat 9(4): 441–453

    Article  Google Scholar 

  • Hartman RS (1979) Frontiers in energy demand modeling. Ann Rev Energy 4: 433–466

    Article  Google Scholar 

  • Hausman JA (1981) Exact consumer surplus and deadweight loss. Am Econ Rev 71: 662–676

    Google Scholar 

  • Hausman JA, Newey WK (1995) Nonparametric estimation of exact consumer surplus and deadweight loss. Econometrica 63(6): 1445–1476

    Article  Google Scholar 

  • Hayes K, Porter-Hudak S (1987) Regional welfare loss measures of the 1973 oil embargo: a numerical methods approach. Appl Econ 19: 1317–1327

    Article  Google Scholar 

  • Heien D (1988) Consumer welfare measures: some comparative results. Northeastern J Agric Resour Econ 17(2): 102–110

    Google Scholar 

  • Henderson JM, Quandt RE (1980) Microeconomic theory: a mathematical approach. McGraw-Hill, New York

    Google Scholar 

  • Holland SP, Mansur ET (2006) The short-run effects of time-varying prices in competitive electricity markets. Energy J 27(4): 127–155

    Google Scholar 

  • Hope E, Singh B (1995) Energy price increases in developing countries. http://www-wds.worldbank.org/external/default/WDSContentServer/WDSP/IB/1995/03/01/000009265_3970311121705/Rendered/PDF/multi_page.pdf

  • Hughes J, Knittel C, Sperling D (2008) Evidence of a shift in the short-run price elasticity of gasoline demand. Energy J 29(1): 113–134

    Google Scholar 

  • Hwang HS (1985) Test of the adjustment process and linear homogeneity in a stock adjustment model of money demand. Rev Econ Stat 67(4): 689–692

    Article  Google Scholar 

  • Irvine IJ, Sims WA (1998) Measuring consumer surplus with unknown Hicksian demands. Am Econ Rev 88(1): 314–322

    Google Scholar 

  • Kling CL (1989) The importance of functional form in the estimation of welfare. West J Agric Econ 14(1): 168–174

    Google Scholar 

  • Kreps DM (1990) A course in microeconomic theory. Harvester Wheatsheaf, New York

    Google Scholar 

  • Levedahl JW (1995) A theoretical and empirical evaluation of the function forms used to estimate the food expenditure equation of food stamp recipients. Am J Agric Econ 77(4): 960–968

    Article  Google Scholar 

  • Mas-Colell A, Whinston MD, Green JR (1995) Microeconomic theory. Oxford University Press, Oxford

    Google Scholar 

  • Ozuna T, Jones L, Capps O (1993) Functional form and welfare measures in truncated recreation demand models. Am J Agric Econ 75(4): 1030–1035

    Article  Google Scholar 

  • Palmer K, Burtraw D (2005) Cost-effectiveness of renewable electricity policies. Energy Econ 27: 873–894

    Article  Google Scholar 

  • Pope R, Green R, Eales J (1980) Testing for homogeneity and habit formation in a flexible demand specification of U.S. meat consumption. Am J Agric Econ 62(4): 778–784

    Article  Google Scholar 

  • Sioshansi R, Denholm P, Jenkin J, Weiss J (2009) Estimating the value of electricity storage in PJM: arbitrage and some welfare effects. Energy Econ 31: 269–277

    Article  Google Scholar 

  • Stynes DJ, Peterson GL, Rosenthal DH (1986) Log Transformation bias in estimating travel cost models. Land Econ 62(1): 94–103

    Article  Google Scholar 

  • Taylor L (1975) The demand for electricity: a survey. RAND J Econ 6: 74–110

    Google Scholar 

  • Tishler A, Newman J, Spekterman I, Woo CK (2008) Assessing the options for a competitive electricity market in Israel. Utilities Policy 16: 21–29

    Article  Google Scholar 

  • U.S. Bureau of Economic Analysis. http://www.bea.gov/.

  • U.S. Energy Information Administration. http://www.eia.doe.gov/oil_gas/petroleum/data_publications/wrgp/mogas_history.html

  • Vartia YO (1983) Efficient methods of measuring welfare change and compensated income in terms of ordinary demand functions. Econometrica 51(1): 79–98

    Article  Google Scholar 

  • Wiser R, Bolinger M, St. Clair M (2005) Easing the natural gas crisis: reducing natural gas prices through increased deployment of renewable energy and energy efficiency. http://eetd.lbl.gov/ea/EMS/reports/56756.pdf

  • Willig R (1976) Consumer’s surplus without apology. Am Econ Rev 66: 589–597

    Google Scholar 

  • Woo CK (1994) Managing water supply shortage: interruption vs. pricing. J Public Econ 54: 145–160

    Article  Google Scholar 

  • Zarnikau J (2003) Functional forms in energy demand modeling. Energy Econ 25: 603–613

    Article  Google Scholar 

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Woo, C.K., Zarnikau, J. & Kollman, E. Exact welfare measurement for double-log demand with partial adjustment. Empir Econ 42, 171–180 (2012). https://doi.org/10.1007/s00181-010-0416-1

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  • DOI: https://doi.org/10.1007/s00181-010-0416-1

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