Generalized Lotka-Volterra (GLV) Models and Generic Emergence of Scaling Laws in Stock Markets
Abstract
Description
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.
To appear in Econophysics Budapest 1997, (Kluver Academic Press), eds. Imre Kondor and Janos Kertes
To appear in Econophysics Budapest 1997, (Kluver Academic Press), eds. Imre Kondor and Janos Kertes