We prove the existence of a minimal state space recursive equilibrium (RE) for a broad class of infinite horizon dynamic general equilibrium models with positive externalities, dynamic complementarities, public policy, equilibrium indeterminacy and sunspots. These are new "multistep" monotone...

We study the existence and computation of equilibrium in large games with strategic complementarities. Using monotone operators (in stochastic dominance orders) defined on the space of distributions, we first prove existence of the greatest and least distributional Nash equilibrium in the sense...

We study a class of infinite horizon, discounted stochastic games with strategic complementarities. In our class of games, we prove the existence of a Stationary Markov Nash equilibrium, as well as provide methods for constructing this least and greatest equilibrium via a successive...

We study a class of discounted, infinite horizon stochastic games with public and private signals and strategic complementarities. Using monotone operators defined on the function space of values and strategies (equipped with a product order), we prove existence of a Stationary Markov Nash...

We present a new approach for studying equilibrium dynamics in a class of stochastic games with a continuum of players with private types and strategic complementarities. We introduce a suitable equilibrium concept, called Markov Stationary Distributional Equilibrium (MSDE), prove its existence,...

For an increasing upper order hemi-continuous correspondence F selfmapping sigma-complete lattice A, we first provide tight fixed-point bounds for sufficiently large iterations on F starting from any initial point a in A. We use this result for conducting iterative fixed-point comparative...

For a strong set order increasing (resp., strongly monotone) upper order hemicontinuous correspondence mapping a complete lattice A into itself (resp., a σ-complete lattice into itself), we provide conditions for tight fixed-point bounds for sufficiently large iterations starting from any...

We prove existence of time consistent equilibria in a wide class of dynamic models with recursive payoffs and generalized discounting involving both behavioral and normative applications. Our generalized Bellman equation method identifies and separates both: recursive and strategic aspects of...

We give a set of sufficient conditions for uniqueness of a time-consistent Markov stationary consumption policy for a quasi-hyperbolic household under uncertainty. To the best of our knowledge, this uniqueness result is the first presented in the literature for general settings, i.e. under...

We provide sufficient conditions for existence and uniqueness of a monotone, Lipschitz continuous Markov stationary Nash equilibrium and implied invariant distribution in a class of intergenerational paternalistic altruism models with stochastic production. Our methods are constructive, and...