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HOW LONG CAN YOU ENJOY BLACKJACK WITH 100 CHIPS?

Tao Yang, Qianqian Li, Xingang Xia, Erbo Zhao, Guo Liu and Zhangang Han ()
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Tao Yang: Department of Systems Science, Beijing Normal University, Beijing 100875, P. R. China
Qianqian Li: Department of Systems Science, Beijing Normal University, Beijing 100875, P. R. China
Xingang Xia: Department of Systems Science, Beijing Normal University, Beijing 100875, P. R. China
Erbo Zhao: Department of Systems Science, Beijing Normal University, Beijing 100875, P. R. China
Guo Liu: Department of Systems Science, Beijing Normal University, Beijing 100875, P. R. China
Zhangang Han: Department of Systems Science, Beijing Normal University, Beijing 100875, P. R. China

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 10, 1161-1171

Abstract: Gambling-related research has implications in financial area understandings and applications. Researches in this area usually focus on pathology, risk-taking, decision-making and addiction. Few works have been done to demonstrate the distribution of the playing time before players go bankrupt. One problem is that it is difficult to get statistics in real world gambling. In this paper, we do simulations in a Blackjack game with a selected strategy. We find the distribution of playing time before players lose a certain amount of money as a power law distribution, indicating the existence of very long playing time players. We also find that double is the most important factor that causes the fat tail. Comparison shows that when removing double, split and three to two payoff, Blackjack goes back to a random walk. The increase of the number of decks somewhat decreases the average playing time. Our results may have pathologic gambling intervention implications.

Keywords: Gambling; stop time; power law distribution; Blackjack; 89.70.Eg (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016804

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