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摘要翻译：
我们报告了一个关于彩票的新结果--一个资金充足的辛迪加有一个纯粹机械的策略，在一个不接受和不结转池的等概率彩票中获得10%~25%的预期收益。我们证明了辛迪加和其他参与者之间的博弈中的最优策略（纳什均衡）由每张彩票中的一张（“特朗普彩票”）下注组成，并将该结果推广到非等概率彩票中的比例彩票选择。该策略可以调整，以适应彩票税和结转池。这个策略的成功不需要“非理性”--它只需要一大群非辛迪加投注者各自独立地选择几张票。
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英文标题：
《A Method for Winning at Lotteries》
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作者：
Steven D. Moffitt and William T. Ziemba
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最新提交年份：
2018
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分类信息：
一级分类：Economics 经济学
二级分类：Econometrics 计量经济学
分类描述：Econometric Theory, Micro-Econometrics, Macro-Econometrics, Empirical Content of Economic Relations discovered via New Methods, Methodological Aspects of the Application of Statistical Inference to Economic Data.
计量经济学理论，微观计量经济学，宏观计量经济学，通过新方法发现的经济关系的实证内容，统计推论应用于经济数据的方法论方面。
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英文摘要：
We report a new result on lotteries --- that a well-funded syndicate has a purely mechanical strategy to achieve expected returns of 10\% to 25\% in an equiprobable lottery with no take and no carryover pool. We prove that an optimal strategy (Nash equilibrium) in a game between the syndicate and other players consists of betting one of each ticket (the "trump ticket"), and extend that result to proportional ticket selection in non-equiprobable lotteries. The strategy can be adjusted to accommodate lottery taxes and carryover pools. No "irrationality" need be involved for the strategy to succeed --- it requires only that a large group of non-syndicate bettors each choose a few tickets independently.
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PDF链接：
https://arxiv.org/pdf/1801.02958
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