We embed learning (without experimentation) in optimal growth. We extend the Mirman-Zilcha results of stochastic optimal growth to the learning case. We use recursive methods to study the effect of learning on the dynamic program by considering the case of iso-elastic utility and linear...

The paper studies existence, uniqueness and stability of stationary equilibrium distributions in a class of stochastic dynamic models common to economic analysis. The stability conditions provided are suitable for treating multi-sector models and nonlinear time series models with unbounded state.

We study optimal growth under learning. We extend the Mirman-Zilcha stochastic growth results characterizing optimal programs for general utility and production functions to the case of learning. We then use recursive methods to study the effect of learning on the dynamic program by considering...

We develop an isotone recursive approach to the problem of existence, computation, and characterization of nonsymmetric locally Lipschitz continuous (and, therefore, Clarke-differentiable) Markovian equilibrium for a class of infinite horizon multiagent competitive equilibrium models with...

This paper uses lattice programming methods along with the extension of Tarski's fixed point theorem due to Veinott (1992) and Zhou (1994) to establish sufficient conditions for existence of sequential symmetric Markov equilibrium in a large class of dynamic games. Our method is constructive and...

We show that monotone methods, especially, those based on lattice theory and lattice programming can produce results, e.g., on the monotonicity of the optimal programs, as well as on the existence of fixed points, consistent with the current macroeconomics literature, in the absence of...

We develop an isotone recursive approach to the problem of existence, computation, and characterization of non-symmetric locally Lipschitz continuous (and, therefore, Clarke-differentible) Markovian equilibrium for a class of infinite horizon multiagent competitive equilibrium models with...

Using lattice programming and order theoretic fixpoint theory, we develop a powerful class of monotone iterative methods that provide a qualitative theory of Markovian equilibrium for a large class of infinite horizon economies with capital. The class of economies is large and includes...

In this paper, we provide a set of sufficient conditions under which recursive competitive equilibrium exist and are unique for a large class of distorted dynamic equilibrium models with capital and elastic labor supply. We develop a monotone map approach to the problem. The class of economies...