Diks, C. and Dindo, P. (2008). Informational differences and learning in an asset market with boundedly rational agents Journal of Economic Dynamics and Control, 32(5):1432--1465.

In this paper we study the properties of an asset pricing model where boundedly rational agents respond to incoming news about economic fundamentals such as future dividends. Our aim is to characterize the resulting fluctuations of the market price around the time-varying underlying fundamental value. The starting point is an asset market in which agents can choose among two different degrees of information regarding future dividends. At the same time agents also try to learn the growth rate of the dividend generating process. Their interaction leads to prices that deviate perpetually from the fundamental value in the short run but stay close to it in the long run. In particular, prices exhibit time-varying nonlinear mean reversion, with parameters determined by the learning process.