  This is a pedagogical review of the the Generalized Lotka-Volterra (GLV)
model: w_i(t+1) = lambda * w_i(t) + a * W (t) - c * W (t) * w_i(t) where i=1,
>......, N and W= (w_1 + w_2 + ...w_N)/N is the average of the w_i's. The GLV
models provide a generic method to simulate, analyze and understand a wide
class of phenomena which are characterized by (truncated) power-law probability
distributions: P(w) dw ~ w**(-1 -alpha) dw and (truncated) Levy flights
fluctuations L_alpha (W). The implications and the interpretation of the model
in the stock markets are discussed.
