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Does it Pay to Buy the Pot in the Canadian 6/49 Lotto? Implications for Lottery Design

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  • Steven D. Moffitt
  • William T. Ziemba

Abstract

Despite its unusual payout structure, the Canadian 6/49 Lotto is one of the few government sponsored lotteries that has the potential for a favorable strategy we call "buying the pot." By buying the pot we mean that a syndicate buys each ticket in the lottery, ensuring that it holds a jackpot winner. We assume that the other bettors independently buy small numbers of tickets. This paper presents (1) a formula for the syndicate's expected return, (2) conditions under which buying the pot produces a significant positive expected return, and (3) the implications of these findings for lottery design.

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  • Steven D. Moffitt & William T. Ziemba, 2018. "Does it Pay to Buy the Pot in the Canadian 6/49 Lotto? Implications for Lottery Design," Papers 1801.02959, arXiv.org.
    • Handle: RePEc:arx:papers:1801.02959
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    References listed on IDEAS

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    1. L. C. MacLean & W. T. Ziemba & G. Blazenko, 1992. "Growth Versus Security in Dynamic Investment Analysis," Management Science, INFORMS, vol. 38(11), pages 1562-1585, November.
    2. Clotfelter, Charles T & Cook, Philip J, 1990. "On the Economics of State Lotteries," Journal of Economic Perspectives, American Economic Association, vol. 4(4), pages 105-119, Fall.
    3. Thaler, Richard H & Ziemba, William T, 1988. "Parimutuel Betting Markets: Racetracks and Lotteries," Journal of Economic Perspectives, American Economic Association, vol. 2(2), pages 161-174, Spring.
    4. Shefrin, Hersh M. & Statman, Meir, 1984. "Explaining investor preference for cash dividends," Journal of Financial Economics, Elsevier, vol. 13(2), pages 253-282, June.
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