Computing equilibria of stochastic heterogeneous agent models using decision rule histories

This paper introduces a general method for computing equilibria with heteroge- neous agents and aggregate shocks that is particularly suitable for economies with private infor- mation. Instead of the cross-sectional distribution of agents across individual states, the method uses as a state variable a vector of spline coefficients describing a long history of past individual decision rules. Applying the computational method to a Mirrlees RBC economy with known ana- lytical solution recovers the solution perfectly well. This test provides considerable confidence on the accuracy of the method.