In this paper we use global analysis to study the welfare properties of general equilibrium economies with incomplete markets (GEI). Our main result is to show that constrained Pareto optimal equilibria are contained in a linear submanifold of the equilibrium set. This result is explicitly...

We propose an extension of the incomplete markets general equilibrium model with production to situations in which firms default. In the model, firms are assumed to be owned by a single individual whose roles as entrepreneur and consumer are anonymous. Assets are exogenously collateralised and...

When individuals' labor and capital income are subject to uninsurable idiosyncratic risks, should capital and labor be taxed, and if so, how? In a two-period general equilibrium model with production, we derive a decomposition formula of the welfare effects of these taxes into insurance and...

This paper formally compares the fit of various versions of the incomplete markets model with aggregate uncertainty, relying on a simple Bayesian empirical framework. The models differ in the degree of households' heterogeneity, with a focus on the role of preferences. For every specification,...

This paper considers the macroeconomic implications of a set of empirical studies finding a high degree of dispersion in preference heterogeneity. It develops a model with both uninsurable idiosyncratic income risk and risk aversion heterogeneity to quantify their effects on wealth inequality....

We provide a geometric test of whether a general equilibrium incomplete markets (GEI) economy has Hart points---points at which the rank of the securities payoff matrix drops. Condition (H) says that, at each nonterminal node, there is an affine set (of appropriate dimension) that intersects all...

The present note highlights the seminal contributions of Diamond, Drèze and Radner towards the integration of financial markets into general equilibrium modeling.

There are a wide variety of theoretical general equilibrium models with incomplete security markets. In this paper we give a general recipe for using homotopy algorithm to compute equilibria in these models. In many models, taxes, transaction-costs or other market frictions introduce the...