Mathematical models of ponzi schemes that consider the stochastic nature of decision-making

In this paper, we further develop well-known approaches to modelling the functioning of Ponzi schemes and generalise them using stochastic differential equations in the Ito form. The applied models take into account the dependence of the scheme’s existence time on the accrued interest rate and the growth of the number of clients, as well as different variants of the advertising campaign. The obtained formulas and results of the corresponding experiments are given.