Pyramid scheme model for consumption rebate frauds

Shi Yong^{1, 2, 3}, Li Bo^{1, 2, 3}, Long Wen^{1, 2, 3, †}

(a) The analytical result and the simulative result of maximum generation G_ER when the average degree k changes. We take the parameters N = 1000, r₀=0.1, r₁=0.1. (b) The analytical result and the simulative result of maximum generation G_ER when the number of possible participants N changes. We take the parameters k = 4, r₀=0.1, r₁=0.1. The simulative results are averaged after 100 simulations.