A Continuous Time Asynchronous Model of the Stock Market; Beyond the LLS   Model
  In order to simulate the complex phenomena manifested in stock markets, we introduce a continuous asynchronous model in which millions of individual traders interact through a central orders matching mechanism, just as it happens in real stock markets. Each trader has a unique decision function, which allows him/ her to trade at any time, to react to external news, to respond to price changes (or volume, volatility, etc.), and to consider the "fundamental price". As a simple example we consider three "generic" decision functions, which correspond to three trader profiles: Noisy, Fundamentalist and Chartist. 
M. Shatner, L. Muchnik, M. Leshno, S. Solomon