In this paper, we provide an overview of an emerging class of "monotone map methods" in analyzing distorted equilibrium in dynamic economies. In particular, we focus on proving the existence and characterization of competitive equilibrium in nonoptimal versions of the optimal growth models. We...

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...

Using lattice programming methods and order-theoretic fixpoint theory, we are able to provide a first step in describing an ordinal (or qualitative) theory of equilibrium growth under uncertainty for a broad class of accumulation problems. The setting is one where in general the second welfare...

In applied work in macroeconomics and finance, nonoptimal infinite horizon economies are often studied in which the state space is unbounded. Important examples of such economies are single sector growth models with production externalities, valued fiat money, monopolistic competition, and/or...

Using order-theoretic methods, we derive sufficient conditions for the existence, characterization, and computation of minimal state space recursive equilibrium (RE), as well as Stationary Markov equilibrium (SME) for various classes of stochastic overlapping generations models. In contrast to...

Based on an order-theoretic approach, we derive sufficient conditions for the existence, characterization, and computation of minimal state space Markovian equilibrium decision processes (MEDPs) and stationary Markov equilibrium (SME) for a large class of stochastic overlapping generations...

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...

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...