We consider a pure exchange economy with incomplete information. Some agents display learning bias and over- or under-react to the arrival of new information. We show under which conditions biased agents survive over a finite horizon. We also study the distribution of irrational agents...

The Lucas (1978) Tree Model lies at the heart of modern macro-finance. At its core, it provides an analysis of the equilibrium price of a long-lived asset in an exchange economy where consumption is the objective, and the sole purpose of the asset is to smooth consumption through time....