Universal statistical properties of poker tournaments
arXiv:physics/0703122 · doi:10.1088/1742-5468/2007/08/P08013
Abstract
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.
Final longer version including data from Internet and WPT tournaments
References in corpus (14)
- Statistical mechanics of complex networks
- Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
- Survival Probability of a Gaussian Non-Markovian Process: Application to the T=0 Dynamics of the Ising Model
- Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
- Non-Markovian Persistence and Nonequilibrium Critical Dynamics
- Statistics of Lead Changes in Popularity-Driven Systems
- Scaling in Tournaments
- Evolutionary trajectories in rugged fitness landscapes
- Level Density of a Bose Gas and Extreme Value Statistics
- Punctuated evolution for the quasispecies model
- Distribution of extremes in the fluctuations of two-dimensional equilibrium interfaces
- Exact solution of a model of time-dependent evolutionary dynamics in a rugged fitness landscape
- Leadership Statistics in Random Structures
- Winning quick and dirty: the greedy random walk