We use supervised machine learning to approximate the expectations typically contained in the optimality conditions of an economic model in the spirit of the parameterized expectations algorithm (PEA) with stochastic simulation. When the set of state variables is generated by a stochastic...

Alvarez and Jermann (2000) show that the constrained efficient allocations of endowment economies with imperfect risk sharing due to limited commitment can be decentralized as competitive equilibria with endogenous debt constraints that are not too tight. These are the loosest possible borrowing...

This paper studies a sole proprietorship economy with imperfect competition in a transferable utility setting. While consumers behave as price takers, producers issue real assets strategically to maximize their own utility. Even when complete markets are technologically feasible, equilibria with...

Several structural results for the set of competitive equilibria in trading networks with frictions are established: The lattice theorem, the rural hospitals theorem, the existence of side-optimal equilibria, and a group-incentive-compatibility result hold with imperfectly transferable utility...

This paper investigates the conditions under which socially responsible investment (SRI) is neutral from the viewpoint of general equilibrium theory. Three conditions are jointly sufficient for neutrality of SRI. First, the financial market is complete and SRI does not compromise the spanning...

I model an incomplete markets economy where unaware agents do not perceive all states of nature, so unintended default can occur when asset returns differ from what was perceived. The presence of default plays a crucial role in the proof of existence - particularly in economies where beliefs are...

We show how the prospect of disputes over firms' revenue reports promotes debt financing over equity. This is demonstrated in a costly state verification model with a risk averse entrepreneur. The prospect of disputes encourages incentive contracts that limit penalties and avoid stochastic...

This paper investigates whether assuming that households possess advance information on their income shocks helps to overcome the difficulty of standard models to understand consumption insurance in the US. As our main result, we find that the quantitative relevance of advance information...

We show that debt is sustainable at a competitive equilibrium based solely on the reputation for repayment; that is, even without collateral or legal sanctions available to creditors. In an incomplete asset market, when the rate of interest falls recurrently below the rate of growth of the...

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...