Abstract In SN , a public office bounded by fixed public officials of size N (N ≥ 1), we assume that the chance for any new case and chance for any dismissal in the time interval (t, t + δt) are αxyδt and βyδt, where we call α (α > 0) the rate of corruption, β (β > 0) the rate of dismissal, and x, y the number of uncorrupts and corrupts at time t (t > 0). We let P(x, y/t) be the probability that there are x uncorrupts and y corrupts at time t(t > 0). We call P(x, y/t) the state of corruption in SN at time i which one may use as policy guidelines. The quantity of interest P(x, y/t) is derived by an iterative technique. As means of achieving prevention we have selected the scale of action ρ = (β/α) ⇒ 1.