Recursive Equilibria in Economies with Incomplete Markets, Macroeconomic Dynamics
We examine minimal sufficient state spaces for equilibria in a Lucas asset pricing model with heterogeneous agents and incomplete markets. It is clear that even if all fundamentals of the economy follow a first-order Markov process, equilibrium prices and allocations will generally not only depend on the current exogenous shock but also on the distribution of wealth among the heterogeneous agents. The main contribution of this paper is to give an example of an infinite-horizon economy with Markovian fundamentals where the joint process of equilibrium asset holdings and exogenous shocks does not constitute a sufficient state space either.
Felix Kubler, Karl Schmedders
Kubler, Felix, and Karl Schmedders. 2002. Recursive Equilibria in Economies with Incomplete Markets. Macroeconomic Dynamics. 6: 284-306.