A Gambler that Bets Forever and the Strong Law of Large Numbers
نویسندگان
چکیده
In this expository note, we give a simple proof that gambler repeating game with positive expected value never goes broke probability. This does not immediately follow from the strong law of large numbers or other basic facts on random walks. Using result, provide an elementary numbers. The ideas proofs come maximal ergodic theorem and Birkhoff’s theorem.
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ژورنال
عنوان ژورنال: American Mathematical Monthly
سال: 2021
ISSN: ['1930-0972', '0002-9890']
DOI: https://doi.org/10.1080/00029890.2022.2005438