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This commonality of log-normal distribution no longer holds when this arbitrariness of wager value is violated, e.g., in the scenario where the player can only wager items (in-game skins). Log-normal distribution has been reported in a wide range of economic, biological, and sociological systems 17 , including income, species abundance, family size, etc. Economists have proposed different kinds of generative mechanisms for log-normal distributions (and power-law distributions as well). One particular interest for us is the multiplicative process 18,19 . Starting from an initial value \(_\) , random variables in a multiplicative process follow an iterative formula \(_=\exp (_ )_ \) or \(\mathrm\,_=\,\mathrm\,_ +_ \) . If the v i has finite mean and variance, and is independent and identically distributed, then according to the central limit theorem, for large i , ln X i will follow a normal distribution, which means X i will follow a log-normal distribution. If we want to check whether gamblers follow multiplicative processes when they wager, we can first check the correlation between consecutive bets \((_,_)\) Due to the large variances of the wager distributions, Pearson’s correlation coefficient may perform poorly. Instead, we adopt two rank-based correlation coefficients, Kendall’s Tau 20 \(_\) and Spearman’s Rho 21 \(_\) . At the same time, we also check the mean and variance of the log-ratios \(\mathrm(_/_)\) between consecutive bets. These statistics can be found in Table 2. The results reveal that the values of consecutive bets exhibit a strong positive correlation, with all the correlation coefficients larger than 0.5. It shows that players’ next bet values are largely dependent on their previous bet values. At the same time, the bet values are following gradual changes, rather than rapid changes. 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