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Do lottery operators exploit their lottery power? Efficiency and equality considerations in optimal lottery design

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  • M. Forster
  • E. Randon

Abstract

We study the problem facing the operator of a lottery who is charged with raising revenue for the public finances. Demand for the lottery is a function of both disposable income and the pricing of the game. Departing from the current literature, we show that optimal lottery pricing includes corrections for the degree of inequality and skewness in the income distribution and features of the function relating lottery spend to disposable income. When gross lottery expenditure is regressive, it is optimal for the operator to improve the terms of the game by being more generous with the proportion of spend that is returned to players. The opposite result holds when gross lottery expenditure is progressive. Using results from analysis of the U.K. National Lottery’s Saturday game between 1997 and 2013, we show that the effective price was about ten percentage points too low to be efficient, so that the operator was not fully exploiting its lottery power. However, we also show that, were it to have raised its price to improve efficiency, it would have increased inequality.

Suggested Citation

  • M. Forster & E. Randon, 2019. "Do lottery operators exploit their lottery power? Efficiency and equality considerations in optimal lottery design," Working Papers wp1135, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp1135
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    References listed on IDEAS

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    1. Luca Gandullia & Lucia Leporatti, 2018. "The demand for gambling in Italian regions and its distributional consequences," Papers in Regional Science, Wiley Blackwell, vol. 97(4), pages 1203-1225, November.
    2. Farrell, Lisa & Walker, Ian, 1999. "The welfare effects of lotto: evidence from the UK," Journal of Public Economics, Elsevier, vol. 72(1), pages 99-120, April.
    3. Levi Perez & Brad Humphreys, 2013. "The ‘Who And Why’ Of Lottery: Empirical Highlights From The Seminal Economic Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 27(5), pages 915-940, December.
    4. Scoggins, John F., 1995. "The Lotto and Expected Net Revenue," National Tax Journal, National Tax Association, vol. 48(1), pages 61-70, March.
    5. Ian Walker, 1998. "The economic analysis of lotteries," Economic Policy, CEPR;CES;MSH, vol. 13(27), pages 358-401.
    6. Charles T. Clotfelter & Philip J. Cook, 1989. "Selling Hope: State Lotteries in America," NBER Books, National Bureau of Economic Research, Inc, number clot89-1, February.
    7. Farrell, Lisa, et al, 2000. "The Demand for Lotto: The Role of Conscious Selection," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(2), pages 228-241, April.
    8. Scoggins, John F., 1995. "The Lotto and Expected Net Revenue," National Tax Journal, National Tax Association;National Tax Journal, vol. 48(1), pages 61-70, March.
    9. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
    10. Charles T. Clotfelter & Philip J. Cook, 1987. "Implicit Taxation in Lottery Finance," NBER Working Papers 2246, National Bureau of Economic Research, Inc.
    11. Conlisk, John, 1993. "The Utility of Gambling," Journal of Risk and Uncertainty, Springer, vol. 6(3), pages 255-275, June.
    12. David Forrest & O. David Gulley & Robert Simmons, 2000. "Testing for rational expectations in the UK National Lottery," Applied Economics, Taylor & Francis Journals, vol. 32(3), pages 315-326.
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    More about this item

    JEL classification:

    • H27 - Public Economics - - Taxation, Subsidies, and Revenue - - - Other Sources of Revenue
    • H71 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Taxation, Subsidies, and Revenue
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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