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While wealth distribution in the world is highly skewed and heavy-tailed,human talent - as the majority of individual features - is normallydistributed. In a recent computational study by Pluchino et al [Talent vs luck:The role of randomness in success and failure, Adv. Complex Syst. 21 (03-04)(2018) 1850014], it has been shown that the combined effects of both randomexternal factors (lucky and unlucky events) and multiplicative dynamics incapital accumulation are able to clarify this apparent contradiction. Weintroduce here a simplified version (STvL) of the original Talent versus Luck(TvL) model, where only lucky events are present, and verify that its dynamicalrules lead to the same very large wealth inequality as the original model. Wealso derive some analytical approximations aimed to capture the mechanismresponsible for the creation of such wealth inequality from aGaussian-distributed talent. Under these approximations, our analysis is ableto reproduce quite well the results of the numerical simulations of thesimplified model in special cases. On the other hand, it also shows that thecomplexity of the model lies in the fact that lucky events are transformed intoan increase of capital with heterogeneous rates, which yields a non-trivialgeneralization of the role of multiplicative processes in generating wealthinequality, whose fully generic case is still not amenable to analyticalcomputations.

On the origins of extreme wealth inequality in the Talent vs Luck Model