Universal statistical properties of poker tournaments

Details Universal statistical properties of poker tournaments Universal statistical properties of poker tournaments

2007-03-12

arxiv.org/abs/physics/0703122v3

J. Stat. Mech. (2007) P08013

Physics

Physics and Society

Final longer version including data from Internet and WPT tournaments

Scientific paper

10.1088/1742-5468/2007/08/P08013

We present a simple model of Texas hold'em poker tournaments which retains the two main aspects of the game: i. the minimal bet grows exponentially with time; ii. players have a finite probability to bet all their money. The distribution of the fortunes of players not yet eliminated is found to be independent of time during most of the tournament, and reproduces accurately data obtained from Internet tournaments and world championship events. This model also makes the connection between poker and the persistence problem widely studied in physics, as well as some recent physical models of biological evolution, and extreme value statistics.

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