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Jia Yuan


As lottery becomes a more and more important source for government tax revenue, one opinion argues that governments should strategically manage different lotteries and coordinate the prices of different lotteries. Although, in the literature, many studies have examined single lottery price elasticity, little has been done to understand the relationship between different lotteries. We examine the substitution effect between two almost identical national lotteries in Canada: Lotto 6/49 and Super 7 (Now called Lotto Max). By exploiting a social experiment, we employ a Regression Discontinuity method to estimate the elasticity of the lotteries. We find surprisingly low cross elasticity between these two, almost identical, Canadian lotteries. If the nominal ticket price of one lottery doubles, the demand for the other lottery does not change significantly. This puzzlingly low substitution effect between the two, almost identical, Canadian lotteries provides a benchmark for future theoretical studies.

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Becker, G., and K. M. Murphy (1988) A theory of rational addiction, Journal of Political Economy, 4, 675-700.

Forrest, D., D. Gulley, and R. Simmons (2001) Elasticity of demand for UK

national lottery tickets, National Tax Journal, 4, 853-63.

Forrest, D., D. Gulley, and R. Simmons (2004) Substitution between games in the UK national lottery, Applied Economics Letters, 36, 645-51.

Forrest, D., D. Gulley, and R. Simmons (2010) The relationship between betting and lottery play, Economic Inquiry, 1, 26-38.

Gulley, O. D., and F. A. Scott (1993) The demand for wagering on state-operated lottery games, National Tax Journal, 45, 13-22.

Guryan, J., and M. S. Kearney (2011) Is lottery gambling addictive, American Economic Journal: Policy, Forthcoming.

Imbens, G., and T. Lemieux (2007) Regression discontinuity designs: a guide to practice, NBER WORKING PAPER SERIES, No. 13039.

Lin, C.-T., and C.-H. Lai (2006) Substitute effects between lotto and big Lotto in Taiwan, Applied Economics Letters, 13, 655-58.

Maeda, A. (2008) Optimal lottery design for public financing, The Economic Journal, 118, 1698-1718.

Sabine M. Grusser, Babett Plontzke, U. A., and C. P. Morsen (2007) The addictive potential of lottery gambling, Journal of Gambling Issues, 19.

Scoggins, J. F. (1995) The lotto and expected net revenue, National Tax Journal, 61-70.

Walker, I., and J. Young (2001) An economist's guide to lottery design, Economic Journal, 111, 700-22.

Yu, K., and X. Xu (2008) Welfare effect of a price change: the case of lotto 6/49, Working Paper.