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Updated: Jan 5, 2026

Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
Published on: September 19, 2012
Online Gambling of Pure Chance: Wager Distribution, Risk Attitude, and Anomalous Diffusion
Xiangwen Wang1,2, Michel Pleimling3,4,5
1Department of Physics, Virginia Tech, Blacksburg, VA, 24061-0435, USA.
Abstract:
Online gambling sites offer many different gambling games. In this work we analyse the gambling logs of numerous solely probability-based gambling games and extract the wager and odds distributions. We find that the log-normal distribution describes the wager distribution at the aggregate level. Viewing the gamblers' net incomes as random walks, we study the mean-squared displacement of net income and related quantities and find different diffusive behaviors for different games. We discuss possible origins for the observed anomalous diffusion.
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