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A belief is then a model of deviations from the empirical probability. It is shown that to be rational a belief cannot be constant, creating an endogenous mechanism for market dynamics. For the development of an equilibrium theory, beliefs are treated as a vector of state variables and market belief is the distribution of individual beliefs. Market belief is an observable for which ample data is available and we review both data sources and applications which use such data. Much of the material reviewed covers the applications of this theory to the study of market dynamics. We trace the implication of one specific model to the explanation of a long list of stylized facts known about market volatility via simulations...
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