We develop a nonsmooth approach to envelope theorems applicable to a broad class of parameterized constrained nonlinear optimization problems that arise typically in economic applications with nonconvexities and/or nonsmooth objectives. Our methods emphasize the role of the Strict...

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 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 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...

Over the last decade, isotone recursive methods have provided unified catalog of results on existence, characterization, and computation of Markovian Equilibrium Decision Processes (MEDPs) in infinite horizon economies where the second welfare theorem fails. Such economies include models with...

Over the last decade, isotone recursive methods have provided unified catalog of results on existence, characterization, and computation of Markovian Equilibrium Decision Processes (MEDPs) in infinite horizon economies where the second welfare theorem fails. Such economies include models with...