Mp. Keane et Ki. Wolpin, THE SOLUTION AND ESTIMATION OF DISCRETE-CHOICE DYNAMIC-PROGRAMMING MODELS BY SIMULATION AND INTERPOLATION - MONTE-CARLO EVIDENCE, Review of economics and statistics, 76(4), 1994, pp. 648-672
Over the past decade, a substantial literature on methods for the esti
mation of discrete choice dynamic programming (DDP) models of behavior
has developed. However, the implementation of these methods can impos
e major computational burdens because solving for agents' decision rul
es often involves high dimensional integrations that must be performed
at each point in the state space. In this paper we develop an approxi
mate solution method that consists of: 1) using Monte Carlo integratio
n to stimulate the required multiple integrals at a subset of the stat
e points, and 2) interpolating the non-simulated values using a regres
sion function. The overall performance of this approximation method ap
pears to be excellent.