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A Time Series Analysis of U.K. Lottery Sales: Long and Short Run Price Elasticities

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Author Info
Farrell, Lisa
Morgenroth, Edgar
Walker, Ian

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Abstract

This paper estimates the long- and short-run elasticities for Lotto. It is particularly concerned with the dynamic response to price variations since, for some goods, this has sometimes been used to infer the presence of addiction. The price elasticity is identified through variation in the expected value of a Lotto ticket induced by rollovers whose high frequency results in surprisingly high variation in the expected value of holding a ticket. Unit root tests are applied to the series in order to identify their time series properties and to avoid a spurious regression problem. The series are found to be stationary. We apply instrumental variables to account for the endogeneity which arises due to correlation between the expected value and the dependent sales variable. The estimated long-run elasticity exceeds the short-run elasticity and this supports the hypothesis that there is an element of addictive behaviour in sales. The Lottery is regulated and the regulator's objective is to maximize sales. Our estimated long-run price elasticity of demand is inconsistent with revenue maximization and we find that greater revenue for the "good causes" could be raised from the game if a smaller proportion of sales revenue were allocated to them. Copyright 1999 by Blackwell Publishing Ltd

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Publisher Info
Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics & Statistics.

Volume (Year): 61 (1999)
Issue (Month): 4 (November)
Pages: 513-26
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Handle: RePEc:bla:obuest:v:61:y:1999:i:4:p:513-26

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  1. Cletus C. Coughlin & Thomas A. Garrett, 2008. "Income and lottery sales: transfers trump income from work and wealth," Working Papers 2008-004, Federal Reserve Bank of St. Louis. [Downloadable!]
  2. David Paton & Donald S. Siegel & Leighton Vaughan Williams, 2002. "A Policy Response To The E--Commerce Revolution: The Case Of Betting Taxation In The UK," Economic Journal, Royal Economic Society, vol. 112(480), pages F296-F314, June. [Downloadable!] (restricted)
  3. Roger Hartley & Lisa Farrell, 2002. "Can Expected Utility Theory Explain Gambling?," American Economic Review, American Economic Association, vol. 92(3), pages 613-624, June. [Downloadable!]
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  4. Jen-Hung Wang & Larry Y. Tzeng & Junji Tien, 2006. "Willingness to pay and the demand for lotto," Applied Economics, Taylor and Francis Journals, vol. 38(10), pages 1207-1216, June. [Downloadable!] (restricted)
  5. Jonathan Guryan & Melissa Schettini Kearney, 2009. "Is Lottery Gambling Addictive?," NBER Working Papers 14742, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Thomas A. Garrett & Cletus C. Coughlin, 2007. "Inter-temporal differences in the income elasticity of demand for lottery tickets," Working Papers 2007-042, Federal Reserve Bank of St. Louis. [Downloadable!]
  7. Rob Simmons & David Forrest & OD Gulley, 2005. "The relationship between betting and lottery play: a high frequency time-series analysis," Working Papers 002494, Lancaster University Management School, Economics Department. [Downloadable!]
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