We provide necessary optimality conditions for a general class of discounted infinitehorizon dynamic optimization problems. As part of the resulting maximum principle we obtain explicit bounds on the adjoint variable, stronger than the transversality conditions in Arrow–Kurz form. r 2005 Elsevier B.V. All rights reserved. JEL classification: C60; C61

This paper develops a theory of regular Markov perfect equilibria in dynamic stochastic games. We show that almost all dynamic stochastic games have a finite number of locally isolated Markov perfect equilibria that are all regular. These equilibria are essential and strongly stable. Moreover, they all admit purification. JEL classification numbers: C73, C61, C62.

In this paper we deal with the utility maximization problem with a general utility function. We derive a new approach in which we reduce the utility maximization problem with general utility to the study of a fully-coupled Forward-Backward Stochastic Differential Equation (FBSDE). AMS Subject Classification: Primary 60H10, 93E20 JEL Classification: C61, D52, D53

This paper considers a neoclassical optimal growth problem where the shock that perturbs the economy in each time period is potentially unbounded on the state space. Sufficient conditions for existence, uniqueness and stability of equilibria are derived in terms of the primitives of the model using recent techniques from the field of perturbed dynamical systems. Journal of Economic Literature C...

This paper studies fitted value iteration for continuous state numerical dynamic programming using nonexpansive function approximators. A number of approximation schemes are discussed. The main contribution is to provide error bounds for approximate optimal policies generated by the value iteration algorithm. Journal of Economic Literature Classifications: C61, C63

The paper proposes an Euler equation technique for analyzing the stability of differentiable stochastic programs. The main innovation is to use marginal reward directly as a Foster–Lyapunov function. This allows us to extend known stability results for stochastic optimal growth models, both weakening hypotheses and strengthening conclusions. JEL classification: C61; C62; O41

Partially specified probabilities induce coherent risk measures of a special kind. These measures are axiomatized using the four axioms that characterize coherent risk measures and an additional one, which requires that the risk measure be additive on the set of efficient portfolios. Journal of Economic Literature classification numbers: C61, C72, D81, D82, D83